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Active matter encompasses different nonequilibrium systems in which individual constituents convert energy into non-conservative forces or motion at the microscale.
Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity (2019)
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Destruction of long-range order in one-dimensional and two-dimensional systems having a continuous symmetry group i. classical systems
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Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group ii. quantum systems
Berezinskii, V · 1972
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Ordering, metastability and phase transitions in two-dimensional systems
Kosterlitz, J. M. & Thouless, D. J · 1973
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The critical properties of the two-dimensional xy model
Kosterlitz, J · 1974
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The topological theory of defects in ordered media
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Dynamics of superfluid films
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Dynamics of two-dimensional melting
Zippelius, A., Halperin, B. & Nelson, D. R · 1980
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Quantized hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential
Halperin, B. I · 1982
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Topological invariant and the quantization of the hall conductance
Kohmoto, M · 1985
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An analog of the quantum hall effect in a superfluid he-3 film
Volovik, G · 1988
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Riemannian geometry (Birkhäuser, 1992)
Carmo, M. P. d · 1992
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Hydrodynamic stability without eigenvalues
Trefethen, L. N., Trefethen, A. E., Reddy, S. C. & Driscoll, T. A · 1993
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Novel type of phase transition in a system of self-driven particles
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I. & Shochet, O · 1995
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Long-range order in a two-dimensional dynamical xy model: how birds fly together
Toner, J. & Tu, Y · 1995
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Localization transitions in non-hermitian quantum mechanics
Hatano, N. & Nelson, D. R · 1996
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Self-organization of microtubules and motors
Nédélec, F., Surrey, T., Maggs, A. C. & Leibler, S · 1997
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Are steadily moving crystals unstable?
Lahiri, R. & Ramaswamy, S · 1997
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Flocks, herds, and schools: A quantitative theory of flocking
Toner, J. & Tu, Y · 1998
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Real spectra in non-hermitian hamiltonians having p t pt symmetry
Bender, C. M. & Boettcher, S · 1998
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Nematic liquid crystals formed by living amoeboid cells
Gruler, H., Dewald, U. & Eberhardt, M · 1999
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Principles of condensed matter physics (Cambridge university press, 2000)
Chaikin, P. M. & Lubensky, T. C · 2000
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Elastic properties of nematoid arrangements formed by amoeboid cells
Kemkemer, R., Kling, D., Kaufmann, D. & Gruler, H · 2000
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Physical properties determining self-organization of motors and microtubules
Surrey, T., Nédélec, F., Leibler, S. & Karsenti, E · 2001
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Defects and geometry in condensed matter physics (Cambridge University Press, 2002)
Nelson, D. R · 2002
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Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
Simha, R. A. & Ramaswamy, S · 2002
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Toward a tetravalent chemistry of colloids
Nelson, D. R · 2002
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The geometry of soft materials: a primer
Kamien, R. D · 2002
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Driven heisenberg magnets: Nonequilibrium criticality, spatiotemporal chaos and control
Das, J., Rao, M. & Ramaswamy, S · 2002
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Geometry, topology and physics (Taylor & Francis, 2003)
Nakahara, M · 2003
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Active nematics on a substrate: Giant number fluctuations and long-time tails
Ramaswamy, S., Simha, R. A. & Toner, J · 2003
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Asters, vortices, and rotating spirals in active gels of polar filaments
Kruse, K., Joanny, J.-F., Jülicher, F., Prost, J. & Sekimoto, K · 2004
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Hydrodynamics and phases of flocks
Toner, J., Tu, Y. & Ramaswamy, S · 2005
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Spontaneous flow transition in active polar gels
Voituriez, R., Joanny, J.-F. & Prost, J · 2005
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Spectra and Pseudospectra (Princeton University Press, 2005)
Trefethen, L. N. & Embree, M · 2005
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Transition to zero resistance in a two-dimensional electron gas driven with microwaves
Alicea, J., Balents, L., Fisher, M. P., Paramekanti, A. & Radzihovsky, L · 2005
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Phonons in a one-dimensional microfluidic crystal
Beatus, T., Tlusty, T. & Bar-Ziv, R · 2006
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Boltzmann and hydrodynamic description for self-propelled particles
Bertin, E., Droz, M. & Grégoire, G · 2006
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Long-lived giant number fluctuations in a swarming granular nematic
Narayan, V., Ramaswamy, S. & Menon, N · 2007
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Topological defects in spherical nematics
Shin, H., Bowick, M. J. & Xing, X · 2008
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Chirality-driven edge flow and non-hermitian topology in active nematic cells (2020)
Yamauchi, L., Hayata, T., Uwamichi, M., Ozawa, T. & Kawaguchi, K · 2008
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One-dimensional topologically protected modes in topological insulators with lattice dislocations
Ran, Y., Zhang, Y. & Vishwanath, A · 2009
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Topological phonon modes and their role in dynamic instability of microtubules
Prodan, E. & Prodan, C · 2009
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The mechanics and statistics of active matter
Ramaswamy, S · 2010
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Polar patterns of driven filaments
Schaller, V., Weber, C., Semmrich, C., Frey, E. & Bausch, A. R · 2010
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Colloquium: topological insulators
Hasan, M. Z. & Kane, C. L · 2010
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The birth of topological insulators
Moore, J. E · 2010
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Topological defects and gapless modes in insulators and superconductors
Teo, J. C. & Kane, C. L · 2010
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Complete absorption of topologically protected waves (2020)
Baardink, G., Cassella, G., Neville, L., Milewski, P. A. & Souslov, A · 2010
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Synchronization and collective dynamics in a carpet of microfluidic rotors
Uchida, N. & Golestanian, R · 2010
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Fluctuations and pattern formation in self-propelled particles
Mishra, S., Baskaran, A. & Marchetti, M. C · 2010
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Topological insulators and superconductors
Qi, X.-L. & Zhang, S.-C · 2011
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Turing’s next steps: the mechanochemical basis of morphogenesis
Howard, J., Grill, S. W. & Bois, J. S · 2011
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Spontaneous motion in hierarchically assembled active matter
Sanchez, T., Chen, D. T., DeCamp, S. J., Heymann, M. & Dogic, Z · 2012
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Colloquium: Disclination loops, point defects, and all that in nematic liquid crystals
Alexander, G. P., Chen, B. G.-g., Matsumoto, E. A. & Kamien, R. D · 2012
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Universal probes of two-dimensional topological insulators: dislocation and π \pi flux
Juričić, V., Mesaros, A., Slager, R.-J. & Zaanen, J · 2012
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Large-scale vortex lattice emerging from collectively moving microtubules
Sumino, Y. et al · 2012
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Meso-scale turbulence in living fluids
Wensink, H. H. et al · 2012
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Pattern formation in self-propelled particles with density-dependent motility
Farrell, F. D. C., Marchetti, M. C., Marenduzzo, D. & Tailleur, J · 2012
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The physics of exceptional points
Heiss, W · 2012
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Active remodeling of cortical actin regulates spatiotemporal organization of cell surface molecules
Gowrishankar, K. et al · 2012
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Human spermatozoa migration in microchannels reveals boundary-following navigation
Denissenko, P., Kantsler, V., Smith, D. J. & Kirkman-Brown, J · 2012
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Hydrodynamics of soft active matter
Marchetti, M. C. et al · 2013
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Living crystals of light-activated colloidal surfers
Palacci, J., Sacanna, S., Steinberg, A. P., Pine, D. J. & Chaikin, P. M · 2013
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Emergence of macroscopic directed motion in populations of motile colloids
Bricard, A., Caussin, J.-B., Desreumaux, N., Dauchot, O. & Bartolo, D · 2013
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An introduction to topological insulators
Fruchart, M. & Carpentier, D · 2013
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Defect annihilation and proliferation in active nematics
Giomi, L., Bowick, M. J., Ma, X. & Marchetti, M. C · 2013
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Topological defects and density fluctuations in collectively moving systems
Schaller, V. & Bausch, A. R · 2013
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Dynamics of defects in an active nematic layer
Pismen, L · 2013
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Velocity correlations in an active nematic
Thampi, S. P., Golestanian, R. & Yeomans, J. M · 2013
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Confinement stabilizes a bacterial suspension into a spiral vortex
Wioland, H., Woodhouse, F. G., Dunkel, J., Kessler, J. O. & Goldstein, R. E · 2013
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Soft quantum vibrations of a PT-symmetric nonlinear ion chain
Strack, P. & Vitelli, V · 2013
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Bird flocks as condensed matter
Cavagna, A. & Giardina, I · 2014
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Topology and dynamics of active nematic vesicles
Keber, F. C. et al · 2014
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Living liquid crystals
Zhou, S., Sokolov, A., Lavrentovich, O. D. & Aranson, I. S · 2014
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Fluid flows created by swimming bacteria drive self-organization in confined suspensions
Lushi, E., Wioland, H. & Goldstein, R. E · 2014
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Physical basis of spindle self-organization
Brugués, J. & Needleman, D · 2014
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Sound isolation and giant linear nonreciprocity in a compact acoustic circulator
Fleury, R., Sounas, D. L., Sieck, C. F., Haberman, M. R. & Alù, A · 2014
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Flocking at a distance in active granular matter
Kumar, N., Soni, H., Ramaswamy, S. & Sood, A · 2014
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Rheotaxis facilitates upstream navigation of mammalian sperm cells
Kantsler, V., Dunkel, J., Blayney, M. & Goldstein, R. E · 2014
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Topological modes bound to dislocations in mechanical metamaterials
Paulose, J., Chen, B. G.-g. & Vitelli, V · 2015
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Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice
Khanikaev, A. B., Fleury, R., Mousavi, S. H. & Alu, A · 2015
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Topological acoustics
Yang, Z. et al · 2015
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Emergent vortices in populations of colloidal rollers
Bricard, A. et al · 2015
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Geometry and topology of turbulence in active nematics
Giomi, L · 2015
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Motility-induced phase separation
Cates, M. E. & Tailleur, J · 2015
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Orientational order of motile defects in active nematics
DeCamp, S. J., Redner, G. S., Baskaran, A., Hagan, M. F. & Dogic, Z · 2015
Cited alongside, same era.
Active swarms on a sphere
Sknepnek, R. & Henkes, S · 2015
Cited alongside, same era.
Topological mechanics of gyroscopic metamaterials
Nash, L. M. et al · 2015
Cited alongside, same era.
Topological phononic crystals with one-way elastic edge waves
Wang, P., Lu, L. & Bertoldi, K · 2015
Cited alongside, same era.
Statistical mechanics where newton’s third law is broken
Ivlev, A. V. et al · 2015
Cited alongside, same era.
Collective motion with anticipation: Flocking, spinning, and swarming
Morin, A., Caussin, J.-B., Eloy, C. & Bartolo, D · 2015
Cited alongside, same era.
Statistical properties of autonomous flows in 2d active nematics
Lemma, L. M., DeCamp, S. J., You, Z., Giomi, L. & Dogic, Z · 2019
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Theory of defect motion in 2d passive and active nematic liquid crystals
Tang, X. & Selinger, J. V · 2019
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Understanding dense active nematics from microscopic models
Patelli, A., Djafer-Cherif, I., Aranson, I. S., Bertin, E. & Chaté, H · 2019
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Self-organized dynamics and the transition to turbulence of confined active nematics
Opathalage, A. et al · 2019
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Reconfigurable flows and defect landscape of confined active nematics
Hardoüin, J. et al · 2019
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Topology and morphology of self-deforming active shells
Metselaar, L., Yeomans, J. M. & Doostmohammadi, A · 2019
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Two-dimensional superfluidity of exciton polaritons requires strong anisotropy
Altman, E., Sieberer, L. M., Chen, L., Diehl, S. & Toner, J · 2015
Cited alongside, same era.
Topological mechanics
Huber, S. D · 2016
Cited alongside, same era.
Kosterlitz–thouless physics: a review of key issues
Kosterlitz, J. M · 2016
Cited alongside, same era.
Actomyosin dynamics drive local membrane component organization in an in vitro active composite layer
Köster, D. V. et al · 2016
Cited alongside, same era.
Minimal model of active colloids highlights the role of mechanical interactions in controlling the emergent behavior of active matter
Marchetti, M. C., Fily, Y., Henkes, S., Patch, A. & Yllanes, D · 2016
Cited alongside, same era.
Correlation lengths in hydrodynamic models of active nematics
Hemingway, E. J., Mishra, P., Marchetti, M. C. & Fielding, S. M · 2016
Cited alongside, same era.
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Data-driven quantitative modeling of bacterial active nematics
Li, H. et al · 2019
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Anomalous topological active matter
Sone, K. & Ashida, Y · 2019
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Non-reciprocal robotic metamaterials
Brandenbourger, M., Locsin, X., Lerner, E. & Coulais, C · 2019
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Topological waves in fluids with odd viscosity
Souslov, A., Dasbiswas, K., Fruchart, M., Vaikuntanathan, S. & Vitelli, V · 2019
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The odd free surface flows of a colloidal chiral fluid
Soni, V. et al · 2019
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Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics
Silveirinha, M. G · 2019
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A bulk-interface correspondence for equatorial waves
Tauber, C., Delplace, P. & Venaille, A · 2019
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Continuous bulk and interface description of topological insulators
Bal, G · 2019
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Topological invariants for interface modes
Bal, G · 2019
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Symmetry-protected nodal phases in non-hermitian systems
Budich, J. C., Carlström, J., Kunst, F. K. & Bergholtz, E. J · 2019
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Anatomy of skin modes and topology in non-hermitian systems
Lee, C. H. & Thomale, R · 2019
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Pairing, waltzing and scattering of chemotactic active colloids
Saha, S., Ramaswamy, S. & Golestanian, R · 2019
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Group formation and cohesion of active particles with visual perception–dependent motility
Lavergne, F. A., Wendehenne, H., Bäuerle, T. & Bechinger, C · 2019
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Controlling the dynamics and optical binding of nanoparticle homodimers with transverse phase gradients
Peterson, C. W., Parker, J., Rice, S. A. & Scherer, N. F · 2019
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Dynamic response and hydrodynamics of polarized crowds
Bain, N. & Bartolo, D · 2019
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Self-organization of spindle-like microtubule structures
Edozie, B. et al · 2019
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Self-organizing motors divide active liquid droplets
Weirich, K. L., Dasbiswas, K., Witten, T. A., Vaikuntanathan, S. & Gardel, M. L · 2019
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Kotwal, T. et al · 2019
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Chiral voltage propagation and calibration in a topolectrical chern circuit
Hofmann, T., Helbig, T., Lee, C. H., Greiter, M. & Thomale, R · 2019
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Nonreciprocity in acoustic and elastic materials
Nassar, H. et al · 2020
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Topological defects in the nematic order of actin fibers as organization centers of hydra morphogenesis
Maroudas-Sacks, Y. et al · 2020
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Formation of self-assembled asters in growing bacterial colonies
Başaran, M., Yaman, Y. I., Vetter, R. & Kocabas, A · 2020
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Chiral stresses in nematic cell monolayers
Hoffmann, L. A., Schakenraad, K., Merks, R. M. & Giomi, L · 2020
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Topological structure and dynamics of three-dimensional active nematics
Duclos, G. et al · 2020
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Three-dimensional active defect loops
Binysh, J., Kos, Ž., Čopar, S., Ravnik, M. & Alexander, G. P · 2020
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Dynamics of active nematic defects on the surface of a sphere
Zhang, Y.-H., Deserno, M., Tu, Z.-C. et al · 2020
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Multi-defect dynamics in active nematics
Vafa, F., Bowick, M. J., Marchetti, M. C. & Shraiman, B. I · 2020
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Chiral active hexatics: Giant number fluctuations, waves, and destruction of order
Maitra, A., Lenz, M. & Voituriez, R · 2020
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Scale-free defect ordering in passive and active nematics
Pearce, D. et al · 2020
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Role of friction in multidefect ordering
Thijssen, K., Nejad, M. R. & Yeomans, J. M · 2020
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Topology control of human fibroblast cells monolayer by liquid crystal elastomer
Turiv, T. et al · 2020
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Integer topological defects organize stresses driving tissue morphogenesis
Guillamat, P., Blanch-Mercader, C., Kruse, K. & Roux, A · 2020
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Topological turbulence in the membrane of a living cell
Tan, T. H. et al · 2020
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Optimal control of active nematics
Norton, M. M., Grover, P., Hagan, M. F. & Fraden, S · 2020
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Non-newtonian topological mechanical metamaterials using feedback control
Sirota, L., Ilan, R., Shokef, Y. & Lahini, Y · 2020
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Self-sensing metamaterials with odd micropolarity
Chen, Y., Li, X., Scheibner, C., Vitelli, V. & Huang, G · 2020
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Anomalous bulk-edge correspondence in continuous media
Tauber, C., Delplace, P. & Venaille, A · 2020
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Non-hermitian physics
Ashida, Y., Gong, Z. & Ueda, M · 2020
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Correspondence between winding numbers and skin modes in non-hermitian systems
Zhang, K., Yang, Z. & Fang, C · 2020
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Topological origin of non-hermitian skin effects
Okuma, N., Kawabata, K., Shiozaki, K. & Sato, M · 2020
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Topological funneling of light
Weidemann, S. et al · 2020
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Non-hermitian band topology and skin modes in active elastic media
Scheibner, C., Irvine, W. T. & Vitelli, V · 2020
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Dynamics and topology of non-hermitian elastic lattices with non-local feedback control interactions
Rosa, M. I. & Ruzzene, M · 2020
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Non-hermitian topological metamaterials with odd elasticity
Zhou, D. & Zhang, J · 2020
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Observation of non-hermitian topology and its bulk–edge correspondence in an active mechanical metamaterial
Ghatak, A., Brandenbourger, M., van Wezel, J. & Coulais, C · 2020
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Non-hermitian boundary modes and topology
Borgnia, D. S., Kruchkov, A. J. & Slager, R.-J · 2020
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Nonreciprocal response theory of non-hermitian mechanical metamaterials: Response phase transition from the skin effect of zero modes
Schomerus, H · 2020
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Guided accumulation of active particles by topological design of a second-order skin effect
Palacios, L. S. et al · 2020
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Active nonreciprocal attraction between motile particles in an elastic medium
Gupta, R. K., Kant, R., Soni, H., Sood, A. & Ramaswamy, S · 2020
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Nonreciprocity as a generic route to traveling states
You, Z., Baskaran, A. & Marchetti, M. C · 2020
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Scalar active mixtures: The nonreciprocal cahn-hilliard model
Saha, S., Agudo-Canalejo, J. & Golestanian, R · 2020
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Waves, algebraic growth, and clumping in sedimenting disk arrays
Chajwa, R., Menon, N., Ramaswamy, S. & Govindarajan, R · 2020
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Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
Dadhichi, L. P., Kethapelli, J., Chajwa, R., Ramaswamy, S. & Maitra, A · 2020
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Odd elasticity
Scheibner, C. et al · 2020
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Anomalous topological edge states in non-hermitian piezophononic media
Gao, P., Willatzen, M. & Christensen, J · 2020
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Critical fluctuations at a many-body exceptional point
Hanai, R. & Littlewood, P. B · 2020
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Generalized bulk–boundary correspondence in non-hermitian topolectrical circuits
Helbig, T. et al · 2020
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Spectral design of active mechanical and electrical metamaterials
Ronellenfitsch, H. & Dunkel, J · 2020
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Topological phase transition in coupled rock-paper-scissors cycles
Knebel, J., Geiger, P. M. & Frey, E · 2020
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Non-reciprocal phase transitions
Fruchart, M., Hanai, R., Littlewood, P. B. & Vitelli, V · 2021
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Spatiotemporal control of liquid crystal structure and dynamics through activity patterning
Zhang, R. et al · 2021
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Topological defects promote layer formation in myxococcus xanthus colonies
Copenhagen, K., Alert, R., Wingreen, N. S. & Shaevitz, J. W · 2021
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Bacteria solve the problem of crowding by moving slowly
Meacock, O. J., Doostmohammadi, A., Foster, K. R., Yeomans, J. M. & Durham, W. M · 2021
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Alert, R., Casademunt, J. & Joanny, J.-F · 2021
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The role of fluid flow in the dynamics of active nematic defects
Angheluta, L., Chen, Z., Marchetti, M. C. & Bowick, M. J · 2021
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Emergence of dynamic vortex glasses in disordered polar active fluids
Chardac, A., Shankar, S., Marchetti, M. C. & Bartolo, D · 2021
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Directional self-locomotion of active droplets enabled by nematic environment
Rajabi, M., Baza, H., Turiv, T. & Lavrentovich, O. D · 2021
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Viscoelastic control of spatiotemporal order in bacterial active matter
Liu, S., Shankar, S., Marchetti, M. C. & Wu, Y · 2021
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Quantifying material properties of cell monolayers by analyzing integer topological defects
Blanch-Mercader, C., Guillamat, P., Roux, A. & Kruse, K · 2021
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Epithelial colonies in vitro elongate through collective effects
Comelles, J. et al · 2021
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Topological defects of integer charge in cell monolayers
Endresen, K. D., Kim, M., Pittman, M., Chen, Y. & Serra, F · 2021
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Machine learning active-nematic hydrodynamics
Colen, J. et al · 2021
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Machine learning forecasting of active nematics
Zhou, Z. et al · 2021
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Real-time steering of curved sound beams in a feedback-based topological acoustic metamaterial
Sirota, L., Sabsovich, D., Lahini, Y., Ilan, R. & Shokef, Y · 2021
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Exceptional topology of non-hermitian systems
Bergholtz, E. J., Budich, J. C. & Kunst, F. K · 2021
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Flow-induced non-hermitian topology in ordinary elastic matter
Tlusty, T · 2021
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Active impact and locomotion in robotic metamaterials
Brandenbourger, M., Scheibner, C., Veenstra, J., Vitelli, V. & Coulais, C · 2021
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Chiral crystals self-knead into whorls
Bililign, E. S. et al · 2021
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Development drives dynamics of living chiral crystals
Tan, T. H. et al · 2021
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