Transitions to equilibrium state in classical φ^{4} lattice

Details Transitions to equilibrium state in classical φ^{4} lattice Transitions to equilibrium state in classical φ^{4} lattice

2002-02-24

arxiv.org/abs/nlin/0202052v1

Commun.Theor.Phys. 38 (2002) 157-162

Nonlinear Sciences

Chaotic Dynamics

3 figures

Scientific paper

Statistical behavior of a classical $\phi ^{4}$ Hamiltonian lattice is investigated from microscopic dynamics. The largest Lyapunov exponent and entropies are considered for manifesting chaos and equipartition behaviors of the system. It is found, for the first time, that for any large while finite system size there exist two critical couplings for the transitions to equipartitions, and the scaling behaviors of these lower and upper critical couplings vs the system size is numerically obtained.

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