Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Einstein relation for the KPZ equation   We compute the non-universal constants in the KPZ equation in one dimension,
in terms of the thermodynamical quantities associated to the underlying
microscopic dynamics. In particular, we derive the second-order Einstein
relation $\lambda = \frac{1}{2}\frac{d^2}{d\rho^2} \chi(\rho) D(\rho)$ for the
transport coefficient $\lambda$ of the KPZ equation, in terms of the conserved
quantity $\rho$, the diffusion coefficient $D$ and the static compressibility
of the system $\chi$.

13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int