Fetching the paper…
Reading the bibliography…
The Kardar-Parisi-Zhang (KPZ) universality class describes a broad range of non-equilibrium fluctuations, including those of growing interfaces, directed polymers and particle transport, to name but a few.
L. Onsager, Crystal statistics. I. a two-dimensional model with an order-disorder transition, Phys. Rev. 65 (1944) 117–149
1944
Earlier work this paper cites.
B. Kaufman, Crystal statistics. II. partition function evaluated by spinor analysis, Phys. Rev. 76 (1949) 1232–1243
1949
Earlier work this paper cites.
Y. Nambu, A note on the eigenvalue problem in crystal statistics, Prog. Theor. Phys. 5 (1950) 1–13
1950
Earlier work this paper cites.
E. H. Lieb, W. Liniger, Exact analysis of an interacting Bose gas. I. the general solution and the ground state, Phys. Rev. 130 (1963) 1605–1616
1963
Earlier work this paper cites.
P. Heller, Experimental investigations of critical phenomena, Rep. Prog. Phys. 30 (1967) 731
1967
Earlier work this paper cites.
K. G. Wilson, The renormalization group: Critical phenomena and the Kondo problem, Rev. Mod. Phys. 47 (1975) 773–840
1975
Earlier work this paper cites.
D. Forster, D. R. Nelson, M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16 (1977) 732–749
1977
Earlier work this paper cites.
R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, London, 1982
1982
Earlier work this paper cites.
M. Kardar, G. Parisi, Y.-C. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56 (1986) 889–892
1986
Earlier work this paper cites.
J. S. Rowlinson, B. Widom, Molecular Theory of Capillarity, Oxford Univ. Press, Oxford, 1989
1989
Earlier work this paper cites.
J. Krug, P. Meakin, Universal finite-size effects in the rate of growth processes, J. Phys. A 23 (1990) L987–L994
1990
Earlier work this paper cites.
A. Maritan, F. Toigo, J. Koplik, J. R. Banavar, Dynamics of growing interfaces, Phys. Rev. Lett. 69 (1992) 3193–3195
1992
Earlier work this paper cites.
H. Ji, M. O. Robbins, Percolative, self-affine, and faceted domain growth in random three-dimensional magnets, Phys. Rev. B 46 (1992) 14519–14527
1992
Earlier work this paper cites.
J. Krug, P. Meakin, T. Halpin-Healy, Amplitude universality for driven interfaces and directed polymers in random media, Phys. Rev. A 45 (1992) 638–653
1992
Earlier work this paper cites.
E. Medina, M. Kardar, Quantum interference effects for strongly localized electrons, Phys. Rev. B 46 (1992) 9984–10006
1992
Earlier work this paper cites.
C. A. Tracy, H. Widom, Level-spacing distributions and the Airy kernel, Commun. Math. Phys. 159 (1994) 151–174
1994
Earlier work this paper cites.
A.-L. Barabási, H. E. Stanley, Fractal Concepts in Surface Growth, Cambridge Univ. Press, Cambridge, 1995
1995
Earlier work this paper cites.
T. Halpin-Healy, Y.-C. Zhang, Kinetic roughening phenomena, stochastic growth, directed polymers and all that. aspects of multidisciplinary statistical mechanics, Phys. Rep. 254 (1995) 215–414
1995
Earlier work this paper cites.
P. G. de Gennes, J. Prost, The Physics of Liquid Crystals, 2nd Edition, Vol. 83 of International Series of Monographs on Physics, Oxford Univ. Press, New York, 1995
1995
Earlier work this paper cites.
C. A. Tracy, H. Widom, On orthogonal and symplectic matrix ensembles, Commun. Math. Phys. 177 (1996) 727–754
1996
Earlier work this paper cites.
L. Bertini, G. Giacomin, Stochastic Burgers and KPZ equations from particle systems, Commun. Math. Phys. 183 (1997) 571–607
1997
Earlier work this paper cites.
J. Krug, H. Kallabis, S. N. Majumdar, S. J. Cornell, A. J. Bray, C. Sire, Persistence exponents for fluctuating interfaces, Phys. Rev. E 56 (1997) 2702–2712
1997
Earlier work this paper cites.
J.-i. Wakita, H. Itoh, T. Matsuyama, M. Matsushita, Self-affinity for the growing interface of bacterial colonies, J. Phys. Soc. Jpn. 66 (1997) 67–72
1997
Earlier work this paper cites.
J. Maunuksela, M. Myllys, O.-P. Kähkönen, J. Timonen, N. Provatas, M. J. Alava, T. Ala-Nissila, Kinetic roughening in slow combustion of paper, Phys. Rev. Lett. 79 (1997) 1515–1518
1997
Earlier work this paper cites.
M. Marsili, Y.-C. Zhang, Overhangs in interface growth and ground-state paths, Phys. Rev. E 57 (1998) 4814–4816
1998
Earlier work this paper cites.
B. Derrida, An exactly soluble non-equilibrium system: The asymmetric simple exclusion process, Phys. Rep. 301 (1998) 65–83
1998
Earlier work this paper cites.
M. Henkel, Conformal Invariance and Critical Phenomena, Springer, Berlin, Heidelberg, New York, 1999
1999
Earlier work this paper cites.
J. Baik, P. Deift, K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations, J. Am. Math. Soc. 12 (1999) 1119–1178
1999
Earlier work this paper cites.
H. Kallabis, J. Krug, Persistence of Kardar-Parisi-Zhang interfaces, Europhys. Lett. 45 (1999) 20–25
1999
Earlier work this paper cites.
H. Hinrichsen, Non-equilibrium critical phenomena and phase transitions into absorbing states, Adv. Phys. 49 (2000) 815–958
2000
Earlier work this paper cites.
K. Johansson, Shape fluctuations and random matrices, Commun. Math. Phys. 209 (2000) 437–476
2000
Earlier work this paper cites.
M. Prähofer, H. Spohn, Universal distributions for growth processes in 1 + 1 1+1 dimensions and random matrices, Phys. Rev. Lett. 84 (2000) 4882–4885
2000
Earlier work this paper cites.
J. Baik, E. M. Rains, Limiting distributions for a polynuclear growth model with external sources, J. Stat. Phys. 100 (2000) 523–541
2000
Earlier work this paper cites.
J. Baik, E. M. Rains, Symmetrized random permutations, in: P. Bleher, A. Its (Eds.), Random Matrix Models and Their Applications, Vol. 40 of MSRI Publications, Cambridge Univ. Press, Cambridge, 2001, pp. 1–19
2001
Earlier work this paper cites.
M. Myllys, J. Maunuksela, M. Alava, T. Ala-Nissila, J. Merikoski, J. Timonen, Kinetic roughening in slow combustion of paper, Phys. Rev. E 64 (2001) 036101
2001
Earlier work this paper cites.
M. Prähofer, H. Spohn, Scale invariance of the PNG droplet and the Airy process, J. Stat. Phys. 108 (2002) 1071–1106
2002
Earlier work this paper cites.
K. Johansson, Discrete polynuclear growth and determinantal processes, Commun. Math. Phys. 242 (2003) 277–329
2003
Earlier work this paper cites.
D. G. A. L. Aarts, M. Schmidt, H. N. W. Lekkerkerker, Direct visual observation of thermal capillary waves, Science 304 (2004) 847–850
2004
Earlier work this paper cites.
C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 3rd Edition, Springer Series in Synergetics, Springer, Berlin, 2004
2004
Earlier work this paper cites.
H.-K. Janssen, M. Müller, O. Stenull, Generalized epidemic process and tricritical dynamic percolation, Phys. Rev. E 70 (2004) 026114
2004
Earlier work this paper cites.
M. L. Mehta, Random Matrices, 3rd Edition, Vol. 142 of Pure and Applied Mathematics, Elsevier, San Diego, 2004
2004
Earlier work this paper cites.
M. Prähofer, H. Spohn, Exact scaling functions for one-dimensional stationary KPZ growth, J. Stat. Phys. 115 (2004) 255–279
2004
Earlier work this paper cites.
T. Sasamoto, Spatial correlations of the 1D KPZ surface on a flat substrate, J. Phys. A 38 (2005) L549–L556
2005
Cited alongside, same era.
M. Adler, P. van Moerbeke, PDEs for the joint distributions of the Dyson, Airy and sine processes, Ann. Probab. 33 (2005) 1326–1361
2005
Cited alongside, same era.
O. Golinelli, K. Mallick, The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics, J. Phys. A 39 (2006) 12679–12705
2006
Cited alongside, same era.
P. L. Ferrari, H. Spohn, Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process, Commun. Math. Phys. 265 (2006) 1–44
2006
Cited alongside, same era.
A. Borodin, P. L. Ferrari, M. Prähofer, T. Sasamoto, Fluctuation properties of the TASEP with periodic initial configuration, J. Stat. Phys. 129 (2007) 1055–1080
2007
V. Dotsenko, Two-time free energy distribution function in (1+1) directed polymers, J. Stat. Mech. 2013 (2013) P06017
2013
Later among the works it cites.
K. A. Takeuchi, Crossover from growing to stationary interfaces in the Kardar-Parisi-Zhang class, Phys. Rev. Lett. 110 (2013) 210604
2013
Later among the works it cites.
T. Halpin-Healy, Extremal paths, the stochastic heat equation, and the three-dimensional Kardar-Parisi-Zhang universality class, Phys. Rev. E 88 (2013) 042118
2013
Later among the works it cites.
T. J. Oliveira, S. G. Alves, S. C. Ferreira, Kardar-Parisi-Zhang universality class in (2+1) dimensions: Universal geometry-dependent distributions and finite-time corrections, Phys. Rev. E 87 (2013) 040102
2013
Later among the works it cites.
T. Halpin-Healy, Erratum: Extremal paths, the stochastic heat equation, and the three-dimensional Kardar-Parisi-Zhang universality class [Phys. Rev. E 88, 042118 (2013)], Phys. Rev. E 88 (2013) 069903
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
A. M. Somoza, M. Ortuño, J. Prior, Universal distribution functions in two-dimensional localized systems, Phys. Rev. Lett. 99 (2007) 116602
2007
Cited alongside, same era.
R. M. Conte, M. Musette, The Painlevé Handbook, Springer, Dordrecht, 2008
2008
Cited alongside, same era.
P. L. Ferrari, Slow decorrelations in Kardar-Parisi-Zhang growth, J. Stat. Mech. 2008 (2008) P07022
2008
Cited alongside, same era.
F. Bornemann, P. L. Ferrari, M. Prähofer, The Airy 1 process is not the limit of the largest eigenvalue in GOE matrix diffusion, J. Stat. Phys. 133 (2008) 405–415
2008
Cited alongside, same era.
G. W. Anderson, A. Guionnet, O. Zeitouni, An Introduction to Random Matrices, Cambridge Studies in Advanced Mathematics, Cambridge Univ. Press, Cambridge, 2009
2009
Cited alongside, same era.
C. A. Tracy, H. Widom, Asymptotics in ASEP with step initial condition, Commun. Math. Phys. 290 (2009) 129–154
2009
Cited alongside, same era.
T. Kriecherbauer, J. Krug, A pedestrian’s view on interacting particle systems, KPZ universality and random matrices, J. Phys. A 43 (2010) 403001
2010
Cited alongside, same era.
2013
Later among the works it cites.
S. El-Showk, M. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, A. Vichi, Solving the 3d Ising model with the conformal bootstrap II. c c -minimization and precise critical exponents, J. Stat. Phys. 157 (2014) 869–914
2014
Later among the works it cites.
K. A. Takeuchi, Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments, J. Stat. Mech. 2014 (2014) P01006
2014
Later among the works it cites.
M. Hairer, A theory of regularity structures, Invent. Math. 198 (2014) 269–504
2014
Later among the works it cites.
S. N. Majumdar, G. Schehr, Top eigenvalue of a random matrix: large deviations and third order phase transition, J. Stat. Mech. 2014 (2014) P01012
2014
Later among the works it cites.
J. Quastel, D. Remenik, Airy processes and variational problems, in: A. Ramírez, G. Ben Arous, P. Ferrari, C. Newman, V. Sidoravicius, M. Vares (Eds.), Topics in Percolative and Disordered Systems, Vol. 69 of Springer Proceedings in Mathematics & Statistics, Springer, New York, 2014, pp. 121–171 · 2014
Later among the works it cites.
T. Halpin-Healy, Y. Lin, Universal aspects of curved, flat, and stationary-state Kardar-Parisi-Zhang statistics, Phys. Rev. E 89 (2014) 010103
2014
Later among the works it cites.
T. Halpin-Healy, G. Palasantzas, Universal correlators and distributions as experimental signatures of (2+1)-dimensional Kardar-Parisi-Zhang growth, Europhys. Lett. 105 (2014) 50001
2014
Later among the works it cites.
R. A. L. Almeida, S. O. Ferreira, T. J. Oliveira, F. D. A. A. Reis, Universal fluctuations in the growth of semiconductor thin films, Phys. Rev. B 89 (2014) 045309
2014
Later among the works it cites.
T. Halpin-Healy, K. A. Takeuchi, A KPZ cocktail - shaken, not stirred…: Toasting 30 years of kinetically roughened surfaces, J. Stat. Phys. 160 (2015) 794–814
2015
Later among the works it cites.
J. Quastel, H. Spohn, The one-dimensional KPZ equation and its universality class, J. Stat. Phys. 160 (2015) 965–984
2015
Later among the works it cites.
A. Pagnani, G. Parisi, Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions, Phys. Rev. E 92 (2015) 010101
2015
Later among the works it cites.
A. Borodin, I. Corwin, P. Ferrari, B. Vető, Height fluctuations for the stationary KPZ equation, Math. Phys. Anal. Geom. 18 (2015) 20
2015
Later among the works it cites.
T. Thiery, P. Le Doussal, On integrable directed polymer models on the square lattice, J. Phys. A 48 (2015) 465001
2015
Later among the works it cites.
A. M. Somoza, P. Le Doussal, M. Ortuño, Unbinding transition in semi-infinite two-dimensional localized systems, Phys. Rev. B 91 (2015) 155413
2015
Later among the works it cites.
N. Fabbri, M. Panfil, D. Clément, L. Fallani, M. Inguscio, C. Fort, J.-S. Caux, Dynamical structure factor of one-dimensional Bose gases: Experimental signatures of beyond-Luttinger-liquid physics, Phys. Rev. A 91 (2015) 043617
2015
Later among the works it cites.
F. Meinert, M. Panfil, M. J. Mark, K. Lauber, J.-S. Caux, H.-C. Nägerl, Probing the excitations of a Lieb-Liniger gas from weak to strong coupling, Phys. Rev. Lett. 115 (2015) 085301
2015
Later among the works it cites.
R. A. L. Almeida, S. O. Ferreira, I. R. B. Ribeiro, T. J. Oliveira, Temperature effect on (2+1) experimental Kardar-Parisi-Zhang growth, Europhys. Lett. 109 (2015) 46003
2015
Later among the works it cites.
T. Sasamoto, The 1d Kardar-Parisi-Zhang equation: Height distribution and universality, Prog. Theor. Exp. Phys. 2016 (2016) 022A01
2016
Later among the works it cites.
P. L. Ferrari, H. Spohn, On time correlations for KPZ growth in one dimension, SIGMA 12 (2016) 074
2016
Later among the works it cites.
A. Aggarwal, Convergence of the stochastic six-vertex model to the ASEP, Math. Phys. Anal. Geom. 20 (2016) 3
2016
Later among the works it cites.
J. Quastel, D. Remenik, How flat is flat in random interface growth? (2016) · 2016
Later among the works it cites.
S. Chhita, P. Ferrari, H. Spohn, Limit distributions for KPZ growth models with spatially homogeneous random initial conditions (2016) · 2016
Later among the works it cites.
P. Grassberger, Universality of critically pinned interfaces in 2-dimensional isotropic random media (2017) · 2017
Closest in time.
Y. T. Fukai, K. A. Takeuchi, Kardar-Parisi-Zhang interfaces with inward growth, Phys. Rev. Lett. 119 (2017) 030602
2017
Closest in time.
2017
Closest in time.
Private communications with P. L. Ferrari (2017)
2017
Closest in time.
K. Johansson, Two time distribution in Brownian directed percolation, Commun. Math. Phys. 351 (2017) 441–492
2017
Closest in time.
J. De Nardis, P. Le Doussal, K. A. Takeuchi, Memory and universality in interface growth, Phys. Rev. Lett. 118 (2017) 125701
2017
Closest in time.
J. de Nardis, P. Le Doussal, Tail of the two-time height distribution for KPZ growth in one dimension, J. Stat. Mech. 2017 (2017) 053212
2017
Closest in time.
K. A. Takeuchi, 1 / f α 1/f^{\alpha} power spectrum in the Kardar-Parisi-Zhang universality class, J. Phys. A 50 (2017) 264006
2017
Closest in time.
K. Matetski, J. Quastel, D. Remenik, The KPZ fixed point (2017) · 2017
Closest in time.
P. Le Doussal, Crossover between various initial conditions in KPZ growth: flat to stationary, J. Stat. Mech. 2017 (2017) 053210
2017
Closest in time.
J. Kelling, G. Ódor, S. Gemming, Dynamical universality classes of simple growth and lattice gas models, J. Phys. A 51 (2018) 035003
2018
Closest in time.
A. Aggarwal, Current fluctuations of the stationary ASEP and six-vertex model, Duke Math. J. 167 (2018) 269–384
2018
Closest in time.
U. Deker, F. Haake, Fluctuation-dissipation theorems for classical processes, Phys. Rev. A 11 (1975) 2043–2056
2056
Closest in time.
S. N. Majumdar, Brownian functionals in physics and computer science, Curr. Sci. 89 (2005) 2076, preprint arXiv:cond-mat/0510064
2076
Closest in time.