title: Nonequilibrium statistical mechanics of the heat bath for two Brownian particles.
abstract: We propose a new look at the heat bath for two Brownian particles, in which the heat bath as a "system" is both perturbed and sensed by the Brownian particles. Nonlocal thermal fluctuations give rise to bath-mediated static forces between the particles. Based on the general sum rule of the linear response theory, we derive an explicit relation linking these forces to the friction kernel describing the particles' dynamics. The relation is analytically confirmed in the case of two solvable models and could be experimentally challenged. Our results point out that the inclusion of the environment as a part of the whole system is important for micron- or nanoscale physics.
authors.affiliation: Laboratoire de Physique Théorique et Modéles Statistiques, CNRS et Université Paris-Sud 11, UMR8626, Bâtiment 100, 91405 Orsay Cedex, France.
authors.forename: Caterina
authors.initials: C
authors.lastname: De Bacco
authors.affiliation: Dipartimento di Fisica e Astronomia Galileo Galilei and Sezione INFN, Università di Padova, Via Marzolo 8, I-35100 Padova, Italy.
authors.forename: Fulvio
authors.initials: F
authors.lastname: Baldovin
authors.affiliation: Dipartimento di Fisica e Astronomia Galileo Galilei and Sezione INFN, Università di Padova, Via Marzolo 8, I-35100 Padova, Italy.
authors.forename: Enzo
authors.initials: E
authors.lastname: Orlandini
authors.affiliation: Matières et Systèmes Complexes, CNRS-UMR7057, Université Paris-Diderot, 75205 Paris, France and Gulliver, CNRS-UMR7083, ESPCI, 75231 Paris, France.
authors.forename: Ken
authors.initials: K
authors.lastname: Sekimoto