Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Analysis of the Green-Kubo Formula   A detailed study of various distinguished limits of the Green-Kubo formula
for the self-diffusion coefficient is presented in this paper. First, an
alternative representation of the Green-Kubo formula in terms of the solution
of a Poisson equation is derived when the microscopic dynamics is Markovian.
Then, the techniques developed in \cite{golden2, AvelMajda91} are used to
obtain a Stieltjes integral representation formula for the symmetric and
antisymmetric parts of the diffusion tensor. The effect of irreversible
microscopic dynamics on the diffusion coefficient is analyzed and various
asymptotic limits of physical interest are studied. Several examples are
presented that confirm the findings of our theory.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics