Large deviations and chemical potential in bulk-driven systems in contact

  title={Large deviations and chemical potential in bulk-driven systems in contact},
  author={Jules Guioth and Eric Bertin},
  journal={Europhysics Letters},
We study whether the stationary state of two bulk-driven systems slowly exchanging particles can be described by the equality of suitably defined nonequilibrium chemical potentials. Our main result is that in a weak contact limit, chemical potentials can be defined when the dynamics of particle exchange takes a factorized form with respect to the two systems, and satisfies a macroscopic detailed balance property at large deviation level. The chemical potentials of systems in contact generically… 

Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviation approach.

A general framework to describe the stationary state of two driven systems exchanging particles or mass through a contact, in a slow exchange limit, using an exactly solvable driven lattice gas model and the Katz-Lebowitz-Spohn model to evaluate the chemical potential.

Non-additive large deviation function for the particle densities of driven systems in contact

  • J. GuiothE. Bertin
  • Mathematics, Physics
    Journal of Statistical Mechanics: Theory and Experiment
  • 2020
We investigate the non-equilibrium large deviation function of the particle densities in two steady-state driven systems exchanging particles at a vanishing rate. We first derive through a systematic

Lack of an equation of state for the nonequilibrium chemical potential of gases of active particles in contact.

The Maxwell relation is no longer valid and cannot be used to infer the nonequilibrium chemical potential from the knowledge of the mechanical pressure and the chemical potential lacks an equation of state in the sense that it depends on the detailed shape of the potential energy barrier separating the compartments and not only on bulk properties, at odds with equilibrium.

Predicting the phase behavior of mixtures of active spherical particles.

This work studies the phase coexistence of binary mixtures of torque-free active Brownian particles for both systems with purely repulsive interactions and systems with attractions and finds that the coexisting phases are in mechanical equilibrium, i.e., the two phases have the same pressure.

Steady-state entropy: A proposal based on thermodynamic integration.

The results suggest that an associated steady-state entropy S_{th} be constructed via thermodynamic integration, using relations such as (∂S/∂E)_{V,N}=1/T, ensuring that derivatives of S{th} with respect to energy and particle number yield the expected intensive parameters.

Phase coexistence of active Brownian particles.

This work develops on the basis of power functional concepts an analytical theory for nonequilibrium phase coexistence and interfacial structure of active Brownian particles, and shows that the internal one-body force field has four nonequ equilibrium contributions.

Uphill migration in coupled driven particle systems

In particle systems subject to a nonuniform drive, particle migration is observed from the driven to the non-driven region and vice-versa, depending on details of the hopping dynamics, leading to

Phase coexistence of active Brownian particles: Anything for a quiet life

We investigate motility-induced phase separation of active Brownian particles, which are modeled as purely repulsive spheres that move due to a constant swim force with freely diffusing orientation.

Uphill currents in coupled, driven zero--range processes

Emilio N.M. Cirillo, ∗ Matteo Colangeli, † and Ronald Dickman ‡ Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, via A. Scarpa 16, I–00161, Roma, Italy.



Stochastic Processes in Physics and Chemistry

N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical

Stochastic processes in physics and chemistry

Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master


  • Rev. Lett. 105, 150601
  • 2010


  • Rev. E 91, 062136
  • 2015


  • Rev. E 84, 041104
  • 2011


  • Rev. E 75, 031120
  • 2007


  • Rev. Lett. 96, 120601
  • 2006

A: Math

  • Theor. 51, 044003
  • 2018


  • Rev. 115, 1405
  • 1959

New J

  • Phys. 18, 043034
  • 2016