4.2k citations · 16.9k across the 118 of their papers we have counts for
44 papers · 1 filter
A continuous-time persistent random walk model for flocking
Daniel Escaff, Raul Toral, Christian Van den Broeck +1
Random walkers characterized by random positions and random velocities lead to normal diffusion. A random walk was originally proposed by Einstein to model Brownian motion and to d…
The underdamped Brownian duet and stochastic linear irreversible thermodynamics
Karel Proesmans, Christan Van den Broeck
Building on our earlier work (Proesmans et. al., Phys.~Rev.~X \textbf{6} (2016), 041010), we introduce the underdamped Brownian duet as a prototype model of a dissipative system or…
General criterion for harmonicity
Karel Proesmans, Hans Vandebroek, Christian Van den Broeck
Inspired by Kubo-Anderson Markov processes, we introduce a new class of transfer matrices whose largest eigenvalue is determined by a simple explicit algebraic equation. Applicatio…
Large deviations in Taylor dispersion
Marcel Kahlen, Andreas Engel, Christian Van den Broeck
We establish a link between the phenomenon of Taylor dispersion and the theory of empirical distributions. Using this connection, we derive, upon applying the theory of large devia…
Stochastic thermodynamics for Ising chain and symmetric exclusion process
R. Toral, C. Van den Broeck, D. Escaff +1
We verify the finite time fluctuation theorem for a linear Ising chain at its ends in contact with heat reservoirs. Analytic results are derived for a chain consisting of only two…
Onsager coefficients in periodically driven systems
Karel Proesmans, Christian Van den Broeck
We evaluate the Onsager matrix for a system under time-periodic driving by considering all its Fourier components. By application of the second law, we prove that all the fluxes co…
Efficiency of Single Particle Engines
Karel Proesmans, Cedric Driesen, Bart Cleuren +1
We study the efficiency of a single particle Szilard and Carnot engine. Within a first order correction to the quasi-static limit, the work distribution is found to be Gaussian and…
Stochastic thermodynamics for kinetic equations
C. Van den Broeck, R. Toral
Stochastic thermodynamics is formulated for variables that are odd under time reversal. The invariance under spatial rotation of the collision rates due to the isotropy of the heat…
Comment on "Generalized exclusion processes: Transport coefficients"
T. Becker, K. Nelissen, B. Cleuren +2
In a recent paper Arita et al. [Phys. Rev. E 90, 052108 (2014)] consider the transport properties of a class of generalized exclusion processes. Analytical expressions for the tran…
Diffusion of interacting particles in discrete geometries: equilibrium and dynamical properties
T. Becker, K. Nelissen, B. Cleuren +2
We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle numb…
Universal theory of efficiency fluctuations
Gatien Verley, Tim Willaert, Christian Van den Broeck +1
Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines ope…
Descending from infinity: Convergence of tailed distributions
Christian Van den Broeck, Upendra Harbola, Raul Toral +1
We investigate the relaxation of long-tailed distributions under stochastic dynamics that do not support such tails. Linear relaxation is found to be a borderline case in which lon…
Adsorption and desorption in confined geometries: a discrete hopping model
T. Becker, K. Nelissen, B. Cleuren +2
We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lat…
Echo states for detailed fluctuation theorems
T. Becker, T. Willaert, B. Cleuren +1
Detailed fluctuation theorems are statements about the probability distribution for the stochastic entropy production along a trajectory. It involves the consideration of a suitabl…
Fluctuation symmetry in a two-state Markov model
Tim Willaert, Bart Cleuren, Christian Van den Broeck
We show that the scaled cumulant generating and large deviation function, associated to a two-state Markov process involving two processes, obey a symmetry relation reminiscent of…
The unlikely Carnot efficiency
Gatien Verley, Tim Willaert, Christian Van den Broeck +1
The efficiency of an heat engine is traditionally defined as the ratio of its average output work over its average input heat. Its highest possible value was discovered by Carnot i…
Ensemble and Trajectory Thermodynamics: A Brief Introduction
Christian Van den Broeck, Massimiliano Esposito
We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.
Work statistics in stochastically driven systems
Gatien Verley, Christian Van den Broeck, Massimiliano Esposito
We identify the conditions under which a stochastic driving inducing energy changes on a system coupled to a thermal bath can be treated as a work source. When these conditions are…
Stochastic functionals and fluctuation theorem for the multi-kangaroo process
C. Van den Broeck, R. Toral
We introduce multi-kangaroo Markov processes and provide a general procedure for evaluating a certain type of stochastic functionals. We calculate analytically the large deviation…
Large deviation function and fluctuation theorem for classical particle transport
Upendra Harbola, Christian Van den Broeck, Katja Lindenberg
We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic large time regime is…
Modulated two-level system : Exact work statistics
Gatien Verley, Christian Van Den Broeck, Massimiliano Esposito
We consider an open two-level system driven by a piecewise constant periodic field and described by a rate equation with Fermi, Bose and Arrhenious rates respectively. We derive an…
Diffusion of interacting particles in discrete geometries
T. Becker, K. Nelissen, B. Cleuren +2
We evaluate the self-diffusion and transport diffusion of interacting particles in a discrete geometry consisting of a linear chain of cavities, with interactions within a cavity d…
Efficiency at maximum power for classical particle transport
Christian Van den Broeck, Katja Lindenberg
We derive the explicit analytic expression for the efficiency at maximum power in a simple model of classical particle transport.
Efficiency of isothermal molecular machines at maximum power
Christian Van den Broeck, Niraj Kumar, Katja Lindenberg
We derive upper and lower bounds for the efficiency of an isothermal molecular machine operating at maximum power. The upper bound is reached when the activated state is close to t…