Transitions to equilibrium state in classical \phi ^{4} lattice
Chaotic Dynamics
2018-01-17 v1 Exactly Solvable and Integrable Systems
Abstract
Statistical behavior of a classical 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.
Cite
@article{arxiv.nlin/0202052,
title = {Transitions to equilibrium state in classical \phi ^{4} lattice},
author = {Xingang Wang and Ying Zhang and Gang Hu},
journal= {arXiv preprint arXiv:nlin/0202052},
year = {2018}
}
Comments
3 figures