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We investigate how generic the onset of chaos in interacting many-body classical systems is in the context of lattices of classical spins with nearest neighbor anisotropic couplings.
N. S. Krylov, Works on the Foundations of Statistical Physics (Yale University Press, New Haven, 1902)
1902
Earlier work this paper cites.
J. W. Gibbs, Elementary Principles in Statistical Mechanics (Princeton University Press, Princeton, 1979)
1979
Earlier work this paper cites.
G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Meccanica 15
1980
Earlier work this paper cites.
G. Müller, Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
R. W. Gerling and D. P. Landau, Phys. Rev. B 42
1990
Earlier work this paper cites.
O. F. de Alcantara Bonfim and G. Reiter, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
D. M. Barnett, T. Tajima, K. Nishihara, Y. Ueshima, and H. Furukawa, Phys. Rev. Lett. 76
1996
Earlier work this paper cites.
C. Dellago and H. A. Posch, Physica A 240
1997
Earlier work this paper cites.
H. van Beijeren, J. R. Dorfman, H. A. Posch, and C. Dellago, Phys. Rev. E 56
1997
Earlier work this paper cites.
P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998)
1998
Cited alongside, same era.
V. Latora, A. Rapisarda, and S. Ruffo, Phys. Rev. Lett. 80
1998
Cited alongside, same era.
R. van Zon, H. van Beijeren, and C. Dellago, Phys. Rev. Lett. 80
1998
Cited alongside, same era.
H. A. Posch and R. Hirschl, in Hard Ball Systems and the Lorentz Gas , Encyclopedia of Mathematical Sciences., Vol. 101, edited by D. Szasz (Springer-Verlag, New York, 2000) p. 280
2000
Cited alongside, same era.
H. M. Pastawski, P. R. Levstein, G. Usaj, J. Raya, and J. Hirschinger, Physica A 283
2000
Cited alongside, same era.
S. McNamara and M. Mareschal, Phys. Rev. E 64
2001
B. V. Fine, Int. J. Mod. Phys. B 18
2004
Later among the works it cites.
A. S. de Wijn, Phys. Rev. E 72
2005
Later among the works it cites.
B. V. Fine, Phys. Rev. Lett. 94
2005
Later among the works it cites.
S. W. Morgan, B. V. Fine, and B. Saam, Phys. Rev. Lett. 101
2008
Later among the works it cites.
R. Steinigeweg and H. Schmidt, Math. Phys. Anal. Geom. 12
2009
Later among the works it cites.
A. S. de Wijn and H. van Beijeren, J. Stat. Mech.: Theory and Experiment 2011
2011
Later among the works it cites.
E. G. Sorte, B. V. Fine, and B. Saam, Phys. Rev. B 83
2011
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Cited alongside, same era.
W. G. Hoover, H. A. Posch, C. Forster, C. Dellago, and M. Zhou, J. Stat. Phys. 109
2002
Cited alongside, same era.
B. V. Fine, J. Stat. Phys. 112
2003
Cited alongside, same era.
A. S. de Wijn and H. van Beijeren, Phys. Rev. E 70
2004
Cited alongside, same era.
T. A. Elsayed, B. Hess, and B. V. Fine, arXiv:1112.3626
Cited in the paper.
E. G. Sorte, B. V. Fine, and B. Saam, arXiv:1102.0527v2
Cited in the paper.
The equations of motion follow from the Poisson-bracket formulation of the Hamiltonian dynamics: d S i , μ / d t = { ℋ , S i , μ } dS_{i,\mu}/dt=\{{\cal H},S_{i,\mu}\} , where the second index μ \mu admits values 1 1 , 2 2 or 3 3 representing the spin projections x x , y y , or z z , respectively. The primary Poisson brackets in this case are: { S i , μ , S j , ν } = δ i j ∑ κ ϵ μ ν κ S i , κ \{S_{i,\mu},S_{j,\nu}\}=\delta_{ij}\sum_{\kappa}\epsilon_{\mu\nu\kappa}S_{i,\kappa} , where δ i j \delta_{ij} is the Kronneker symbol and ϵ μ ν κ \epsilon_{\mu\nu\kappa} the Levi-Civita symbol
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B. Meier, J. Kohlrautz, and J. Haase, Phys. Rev. Lett. 108
2012
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