Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Methods of exploring energy diffusion in lattices with finite
  temperature   We discuss two methods for exploring energy diffusion in lattices with finite
temperature in this paper. The first one is the energy-kick (EK) method. To
apply this method, one adds an external energy kick to a particle in the
lattice, and tracks its evolution by evolving the kicked system. The second one
is the fluctuation-correlation (FC) method. The formula for calculating the
probability density function (PDF) using the canonical ensemble is slightly
revised and extended to the microcanonical ensemble. We show that the FC method
has advantages over the EK method theoretically and technically. Theoretically,
the PDF obtained by the FC method reveals the diffusion processes of the inner
energy while the PDF obtained by the EK method represents that of the kick
energy. The diffusion processes of the inner energy and the external energy
added to the system, i.e., the kick energy, may be different quantitatively and
even qualitatively depending on models. To show these facts, we study not only
the equilibrium systems but also the stationary nonequilibrium systems.
Examples showing that the inner energy and the kick energy may have different
diffusion behavior are reported in both cases. The technical advantage enables
us to study the long-time diffusion processes and thus avoids the finite-time
effect.

26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
2
The categories of this paper are: math