Current fluctuations of diffusive systems with a battery
Thibaut Jonckheere, Bernard Derrida
Abstract
For a diffusive system on a ring, with a battery at the origin, we use the macroscopic fluctuation theory (MFT) to obtain the large deviation function of the current. In the case of non-interacting particles, the predictions of the MFT agree with the result of a direct exact microscopic calculation. To our surprise, the large deviation function of non-interacting particles with a battery has the same form as for the Symmetric Simple Exclusion Process (SSEP) with open boundary conditions. For the SSEP on a ring with a battery, the predictions of the MFT seem to agree with the results of long Monte Carlo simulations, although much longer simulations would be needed to better test the validity of these predictions.
Create a lesson
Related papers
Hierarchy of time scales in kinetically constrained models via stochastic-generator expansion
Vanja Marić, Juan P. Garrahan, Lenart Zadnik
A first introduction to Matrix Product State algorithms for the integration of Lindblad equation
Christophe Chatelain
Recent progress on thermal transport in one-dimensional long-range interacting Fermi-Pasta-Ulam-Tsingou lattice systems
Daxing Xiong, Nianbei Li, Jie Chen
Exact Nonlinear Active Microrheology in Diffusive Single-File Systems
Aurélien Grabsch, Olivier Bénichou
Logarithmic singularity in a dynamical quantum phase transition for free fermions
Yasser Bezzaz, Dimitri M. Gangardt, Pavel L. Krapivsky et al.
Entropy Estimates from Stochastic Interpolants
Phillip M. Rauscher