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David Andrieux

Publications and source records attributed to David Andrieux.

At least 19 recordsLinked to original sources
arXiv2025

Control Strategies for Maintaining Transport Symmetries Far From Equilibrium

We present two strategies for controlling the transport dynamics of mesoscopic devices. In both cases, we manipulate the system's output - such as particle currents and energy flows - while maintaining symmetric transport properties, even under far-from-equilibrium conditions. We provide exact descriptions of each scheme and investigate their characteristics. Notably, one of them minimizes the dissimilarity between the original and modified processes, as quantified by the Kullback-Leibler divergence. These findings can be used to improve the design and control of mesoscopic systems.

cond-mat.stat-mech↗
arXiv2024

Geometric Foundation of Nonequilibrium Transport: A Minkowski Embedding of Markov Dynamics

We introduce a unified framework for analyzing Markov dynamics by linking nonequilibrium thermodynamics with information geometry. Using the symmetrized Kullback-Leibler divergence, we reveal an intrinsic Minkowski structure in the parameter space that naturally separates symmetric elements, governed by kinetic activities and forces, from the antisymmetric behavior, characterized by thermodynamic currents and affinities. This formulation offers a systematic approach to probe the transport properties of Markov systems.

cond-mat.stat-mech↗
arXiv2024

Irreversibility as divergence from equilibrium

The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this interpretation by expressing the entropy production of a Markov system as a divergence with respect to particular equilibrium dynamics. These equilibrium dynamics correspond to the closest reversible systems in the information-theoretic sense. This result yields novel links between nonequilibrium thermodynamics and information geometry.

cond-mat.stat-mech↗
arXiv2024

Revealing hidden structures and symmetries in nonequilibrium transport

Recent results have shown how to partition the space of Markov systems into dynamical equivalence classes. These equivalence classes structure transport properties in such a way that makes, among other features, their responses fully symmetric. In this note, I illustrate this approach on two representative systems. First, I derive analytical expressions for the equivalence classes of a disordered ring model. Second, I verify on a model of ion transport that, within an equivalence class, the response of coupled currents is symmetric both near and far from equilibrium.

cond-mat.stat-mech↗
arXiv2022

Fully symmetric nonequilibrium response of stochastic systems

We show that the nonequilibrium response of Markovian dynamics can be made fully symmetric, both near and far from equilibrium. This is achieved by varying the affinities along equivalence classes in the space of stochastic dynamics.

cond-mat.stat-mech↗
arXiv2016

An ergodic process of zero divergence-distance from its time-reversed process

An ergodic process $P$ is constructed such that the divergence-rate $D(P || P^*)$ is zero, yet $P$ is not equal to its time-reversed process $P^*$. The process $P$ is constructed as a special realization of the universal coding found by Xu. This result shows that there exist time-asymmetric processes that are indistinguishable under time-reversal and that can, in principle, be generated with zero dissipation.

cond-mat.stat-mech↗
arXiv2016

Exact expression for the large deviations of mesoscopic currents

Large deviations quantify the occurrence of events that depart from the average behavior of a system. In this note we derive an exact expression for their moment generating function. This expression offers a new tool to investigate the behavior of mesoscopic systems. To illustrate our result, we derive the exact formulae for the current fluctuations in a disordered ring and in a model of ion transport through a membrane.

cond-mat.stat-mech↗
arXiv2013

Information erasure in copolymers

Information erasure at the molecular scale during the depolymerization of copolymers is shown to require a minimum entropy production in accordance with Landauer's principle and as a consequence of the second law of thermodynamics. This general result is illustrated with an exactly solvable model of copolymerization, which also shows that the minimum entropy production that is possible for a specific molecular mechanism of depolymerization may be larger than the minimum required by Landauer's principle.

cond-mat.stat-mech↗
arXiv2012

What does a large deviation look like?

Large deviation theory quantifies the occurence of events that deviate from the average behavior of a system. Such events arise from non-typical trajectories of the dynamics. In this note we derive the time evolution of these rare trajectories.

cond-mat.stat-mech↗
arXiv2012

Equivalence classes for large deviations

We show the existence of equivalence classes for large deviations. Stochastic dynamics within an equivalence class share the same large deviation properties.

cond-mat.stat-mech↗
arXiv2012

Nonequilibrium large deviations are determined by equilibrium dynamics

We show that the large deviations of nonequilibrium systems are determined by the fluctuations of associated equilibrium dynamics. In particular, this implies that numerical calculations and experimental measurements of nonequilibrium fluctuations can be done at equilibrium.

cond-mat.stat-mech↗
arXiv2011

Bounding the coarse graining error in hidden Markov dynamics

Lumping a Markov process introduces a coarser level of description that is useful in many contexts and applications. The dynamics on the coarse grained states is often approximated by its Markovian component. In this letter we derive finite-time bounds on the error in this approximation. These results hold for non-reversible dynamics and for probabilistic mappings between microscopic and coarse grained states.

cond-mat.stat-mech↗
arXiv2011

Nonlinear transport effects in mass separation by effusion

Generalizations of Onsager reciprocity relations are established for the nonlinear response coefficients of ballistic transport in the effusion of gaseous mixtures. These generalizations, which have been established on the basis of the fluctuation theorem for the currents, are here considered for mass separation by effusion. In this kinetic process, the mean values of the currents depend nonlinearly on the affinities or thermodynamic forces controlling the nonequilibrium constraints. These nonlinear transport effects are shown to play an important role in the process of mass separation. In particular, the entropy efficiency turns out to be significantly larger than it would be the case if the currents were supposed to depend linearly on the affinities.

cond-mat.stat-mech↗