A fluctuation-response relation of many Brownian particles under non-equilibrium conditions

Details A fluctuation-response relation of many Brownian particles under non-equilibrium conditions A fluctuation-response relation of many Brownian particles under non-equilibrium conditions

2007-09-12

arxiv.org/abs/0709.1843v2

Phys. Rev. E 77, 021108 (2008)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.77.021108

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In equilibrium cases, the linear response coefficient is related to the intensity of density fluctuations in a universal manner, which is called a fluctuation-response relation. We then report numerical evidence that this relation holds even in non-equilibrium cases. This result suggests that Einstein's formula on density fluctuations can be extended to driven diffusive systems when the slowly varying potential is applied in a direction transversal to the driving force.

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