Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermalization of high-dimensional classical lattices   The energy equipartition hypothesis is one of the dynamical foundations of
the statistical mechanics. It has been established a general consensus that
typical one-dimensional classical lattices in the thermal dynamical limit can
be thermalized by arbitrarily small nonlinear perturbations. In this Letter we
show analytically and numerically that the thermalization time of typical
two-dimensional and three-dimensional lattices follows also the universal
scaling of $T_{eq}\sim \tilde{g}^{-2}$ for sufficient large systems with either
homogeneous or disordered masses, where $\tilde{g}$ is the perturbation
strength. Comparing to the one-dimensional counterparts, high-dimensional
lattices can be thermolized quickly, since the three-wave resonance usually
dominate the relaxation time scaling and the interconnection network over all
normal modes can be easily formed due to the existence of multiple branches of
phonons. This result means that the energy equipartition hypothesis applies in
general for typical lattice systems, and the thermalization obeys qualitatively
the same law.

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The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an