219 citations · 1k across the 25 of their papers we have counts for
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Making sense of nonequilibrium current fluctuations: A molecular motor example
David Andrieux
The nonequilibrium response and fluctuations of Markovian systems, both near and far from equilibrium, are best understood by varying their parameters along dynamical equivalence c…
Exact method for calculating the current fluctuations and nonlinear response of Markovian dynamics
David Andrieux
We show that the current fluctuations and nonlinear response of Markovian dynamics can be obtained from a system of polynomial equations. This offers new opportunities for analytic…
Minimal entropy production under thermodynamic constraints: An application of cycle decomposition for Markov chain design
David Andrieux
We propose to construct Markov dynamics with specified characteristics using a cycle decomposition of the space of Markov chains introduced by Cohen and Alpern. As an application o…
Fully symmetric nonequilibrium response of stochastic systems
David Andrieux
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 equ…
An ergodic process of zero divergence-distance from its time-reversed process
David Andrieux
An ergodic process is constructed such that the divergence-rate is zero, yet is not equal to its time-reversed process . The process is constructed a…
Exact expression for the large deviations of mesoscopic currents
David Andrieux
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 functio…
Kinetics and thermodynamics of first-order Markov chain copolymerization
P. Gaspard, D. Andrieux
We report a theoretical study of stochastic processes modeling the growth of first-order Markov copolymers, as well as the reversed reaction of depolymerization. These processes ar…
Information erasure in copolymers
David Andrieux, Pierre Gaspard
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…
Nonequilibrium large deviations are determined by equilibrium dynamics
David Andrieux
We show that the large deviations of nonequilibrium systems are determined by the fluctuations of associated equilibrium dynamics. In particular, this implies that numerical calcul…
Equivalence classes for large deviations
David Andrieux
We show the existence of equivalence classes for large deviations. Stochastic dynamics within an equivalence class share the same large deviation properties.
What does a large deviation look like?
David Andrieux
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 th…
Cycle decomposition of full counting statistics
David Andrieux
This paper has been withdrawn by the author due to an error in the derivation.
Bounding the coarse graining error in hidden Markov dynamics
David Andrieux
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…
Nonlinear transport effects in mass separation by effusion
Pierre Gaspard, David Andrieux
Generalizations of Onsager reciprocity relations are established for the nonlinear response coefficients of ballistic transport in the effusion of gaseous mixtures. These generaliz…
Spectral signature of nonequilibrium conditions
David Andrieux
The study of stochastic systems has received considerable interest over the years. Their dynamics can describe many equilibrium and nonequilibrium fluctuating systems. At the same…
Stochastic approach and fluctuation theorem for ion transport
David Andrieux, Pierre Gaspard
We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile…
Thermodynamic large fluctuations from uniformized dynamics
David Andrieux
Large fluctuations have received considerable attention as they encode information on the fine-scale dynamics. Large deviation relations known as fluctuation theorems also capture…
Fluctuation theorem for currents in open quantum systems
David Andrieux, Pierre Gaspard, Takaaki Monnai +1
A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry…
Quantum work relations and response theory
David Andrieux, Pierre Gaspard
A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a f…
Dynamical randomness, information, and Landauer's principle
D. Andrieux, P. Gaspard
New concepts from nonequilibrium thermodynamics are used to show that Landauer's principle can be understood in terms of time asymmetry in the dynamical randomness generated by the…
Thermodynamic time asymmetry in nonequilibrium fluctuations
David Andrieux, Sergio Ciliberto, Nicolas Garnier +3
We here present the complete analysis of experiments on driven Brownian motion and electric noise in a circuit, showing that thermodynamic entropy production can be related to…
A fluctuation theorem for currents and non-linear response coefficients
D. Andrieux, P. Gaspard
We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficien…
Entropy production and time asymmetry in nonequilibrium fluctuations
David Andrieux, Pierre Gaspard, Sergio Ciliberto +3
The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant…
Fluctuation theorem for currents and Schnakenberg network theory
David Andrieux, Pierre Gaspard
A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in part…