New Macroscopic Expression Connecting Energy Dissipation with Violation of Fluctuation Response Relation in Colloidal Many-Particle Systems

作者：Yoshimori Akira^*; Harada Takahiro

来源：Journal of the Physical Society of Japan, 2012, 81(9).

DOI：10.1143/JPSJ.81.094002

• Harada-Sasa relation
• Fokker-Planck equations
• underdamped limit
• energy balance
• colloidal dispersion

We present a new method of deriving the relation between the dissipation of energy and the violation of the fluctuation response relation in nonequilibrium states. The method is obtained using the Fokker-Planck equation in underdamped cases. Using the method, we show that the relation obtained by Harada and Sasa can be derived from an energy balance in nonequilibrium steady states. In addition, applying the method to colloidal many-particle systems, we derive a new expression for the relation using the current and density fields. The new expression has a simple form with a linear response coefficient for a nonconservative external force, in contrast to that in a previous study.

• 出版日期2012-9