Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The anti-Fermi-Pasta-Ulam-Tsingou problem in one-dimensional diatomic
  lattices   We study the thermalization dynamics of one-dimensional diatomic lattices
(which represents the simplest system possessing multi-branch phonons),
exemplified by the famous Fermi-Pasta-Ulam-Tsingou (FPUT)-$\beta$ and the Toda
models. Here we focus on how the system relaxes to the equilibrium state when
part of highest-frequency optical modes are initially excited, which is called
the anti-FPUT problem comparing with the original FPUT problem (low frequency
excitations of the monatomic lattice). It is shown numerically that the final
thermalization time $T_{\rm eq}$ of the diatomic FPUT-$\beta$ chain depends on
whether its acoustic modes are thermalized, whereas the $T_{\rm eq}$ of the
diatomic Toda chain depends on the optical ones; in addition, the metastable
state of both models have different energy distributions and lifetimes. Despite
these differences, in the near-integrable region, the $T_{\rm eq}$ of both
models still follows the same scaling law, i.e., $T_{\rm eq}$ is inversely
proportional to the square of the perturbation strength. Finally, comparisons
of the thermalization behavior between different models under various initial
conditions are briefly summarized.

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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci