Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Thermalization in Classical Scalar Field Theory   Thermalization of classical fields is investigated in a \phi^4 scalar field
theory in 1+1 dimensions, discretized on a lattice. We numerically integrate
the classical equations of motion using initial conditions sampled from various
nonequilibrium probability distributions. Time-dependent expectation values of
observables constructed from the canonical momentum are compared with thermal
ones. It is found that a closed system, evolving from one initial condition,
thermalizes to high precision in the thermodynamic limit, in a time-averaged
sense. For ensembles consisting of many members with the same energy, we find
that expectation values become stationary - and equal to the thermal values -
in the limit of infinitely many members. Initial ensembles with a nonzero
(noncanonical) spread in the energy density or other conserved quantities
evolve to noncanonical stationary ensembles. In the case of a narrow spread,
asymptotic values of primary observables are only mildly affected. In contrast,
fluctuations and connected correlation functions will differ substantially from
the canonical values. This raises doubts on the use of a straightforward
expansion in terms of 1PI-vertex functions to study thermalization.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg