Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to equilibrium distribution. The Klein-Gordon equation
  coupled to a particle   We consider the Hamiltonian system consisting of a Klein-Gordon vector field
and a particle in $\R^3$. The initial date of the system is a random function
with a finite mean density of energy which also satisfies a Rosenblatt- or
Ibragimov-type mixing condition. Moreover, initial correlation functions are
translation-invariant. We study the distribution $\mu_t$ of the solution at
time $t\in\R$. The main result is the convergence of $\mu_t$ to a Gaussian
measure as $t\to\infty$, where $\mu_\infty$ is translation-invariant.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph