Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic dynamics and thermodynamics around a metastable state based
  on the linear Dean-Kawasaki equation   The Dean-Kawasaki equation forms the basis of the stochastic density
functional theory (DFT). Here it is demonstrated that the Dean-Kawasaki
equation can be directly linearized in the first approximation of the driving
force due to the free energy functional $F[\rho] $ of an instantaneous density
distribution $\rho$, when we consider small density fluctuations around a
metastable state whose density distribution $\rho^*$ is determined by the
stationary equation $\delta F[\rho]/\delta \rho|_{\rho=\rho^*}=\mu$ with $\mu$
denoting the chemical potential. Our main results regarding the linear
Dean-Kawasaki equation are threefold. First, (i) the corresponding stochastic
thermodynamics has been formulated, showing that the heat dissipated into the
reservoir is negligible on average. Next, (ii) we have developed a field
theoretic treatment combined with the equilibrium DFT, giving an approximate
form of $F[\rho]$ that is related to the equilibrium free energy functional.
Accordingly, (iii) the linear Dean-Kawasaki equation, which has been reduced to
a tractable form expressed by the direct correlation function, allows us to
compare the stochastic dynamics around metastable and equilibrium states,
particularly in the Percus-Yevick hard sphere fluids; we have found that the
metastable density is larger and the effective diffusion constant in the
metastable state is smaller than the equilibrium ones in repulsive fluids.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex