Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium time-correlation functions of the long-range interacting
  Fermi-Pasta-Ulam model   We present a numerical study of dynamical correlations (structure factors) of
the long-range generalization of the Fermi-Pasta-Ulam oscillator chain, where
the strength of the interaction between two lattice sites decays as a power
$\alpha$ of the inverse of their distance. The structure factors at finite
energy density display distinct peaks, corresponding to long-wavelength
propagating modes, whose dispersion relation is compatible with the predictions
of the linear theory. We demonstrate that dynamical scaling holds, with a
dynamical exponent $z$ that depends weakly on $\alpha$ in the range
$1<\alpha<3$. The lineshapes have a non-trivial functional form and appear
somehow independent of $\alpha$. Within the accessible time and size ranges, we
also find that the short-range limit is hardly attained even for relatively
large values of $\alpha$.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs