Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified fluctuation-dissipation and Einstein relation at
  non-equilibrium steady states   Starting from the pioneering work of G. S. Agarwal [Zeitschrift f\"ur Physik
252, 25 (1972)], we present a unified derivation of a number of modified
fluctuation-dissipation relations (MFDR) that relate response to small
perturbations around non-equilibrium steady states to steady-state
correlations. Using this formalism we show the equivalence of velocity forms of
MFDR derived using continuum Langevin and discrete master equation dynamics.
The resulting additive correction to the Einstein relation is exemplified using
a flashing ratchet model of molecular motors.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas