Theoretical description of effective heat transfer between two viscously coupled beads

Antoine Bérut (1) , Alberto Imparato (2) , Artyom Petrosyan (1) , Sergio Ciliberto (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 Department of Physics and Astronomy [Aarhus]

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the system, we identify an energy flow that satisfies a fluctuation theorem both in the stationary and in transient states. In particular, for the specific case of a linear nonconservative interaction, we derive an exact fluctuation theorem that holds for any measurement time in the transient regime, and which involves the energy flux alone. Moreover, in this regime the system presents an interesting asymmetry between the hot and cold particles. The theoretical predictions are in good agreement with the experimental results already presented in our previous article [Bérut et al., Phys. Rev. Lett. 116, 068301 (2016)], where we investigated the thermodynamic properties of two Brownian particles, trapped with optical tweezers, interacting through a dissipative hydrodynamic coupling.

Mots clés: Fluctuation Theorem; Heat flux; Optical tweezers; Effective temperature

Domaines: Mécanique statistique [cond-mat.stat-mech]

Antoine Bérut, Alberto Imparato, Artyom Petrosyan, Sergio Ciliberto. Theoretical description of effective heat transfer between two viscously coupled beads. Physical Review E , 2016, ⟨10.1103/PhysRevE.94.052148⟩. ⟨hal-01405343⟩