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Mutual Multilinearity of Nonequilibrium Network Currents
Sara Dal Cengio, Pedro E. Harunari, Vivien Lecomte +1
Continuous-time Markov chains have been successful in modelling systems across numerous fields, with currents being fundamental entities that describe the flows of energy, particle…
Mutual linearity of nonequilibrium network currents
Pedro E. Harunari, Sara Dal Cengio, Vivien Lecomte +1
For continuous-time Markov chains and open unimolecular chemical reaction networks, we prove that any two stationary currents are linearly related upon perturbations of a single ed…
Methods and Conversations in (Post)Modern Thermodynamics
Francesco Avanzini, Massimo Bilancioni, Vasco Cavina +19
Lecture notes after the doctoral school (Post)Modern Thermodynamics held at the University of Luxembourg, December 2022, 5-7, covering and advancing continuous-time Markov chains,…
Path integrals and stochastic calculus
Thibaut Arnoulx de Pirey, Leticia F. Cugliandolo, Vivien Lecomte +1
Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes hindered by the lack of control on various manipulations -- such as performing a change…
Macroscopic Fluctuation Theory and Current Fluctuations in Active Lattice Gases
Tal Agranov, Sunghan Ro, Yariv Kafri +1
We study the current large deviations for a lattice model of interacting active particles displaying a motility-induced phase separation (MIPS). To do this, we first derive the exa…
Geometry of nonequilibrium reaction networks
Sara Dal Cengio, Vivien Lecomte, Matteo Polettini
The modern thermodynamics of discrete systems is based on graph theory, which provides both algebraic methods to define observables and a geometric intuition of their meaning and r…
Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
Tal Agranov, Sunghan Ro, Yariv Kafri +1
We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of…
Supersymmetries in non-equilibrium Langevin dynamics
Bastien Marguet, Elisabeth Agoritsas, Léonie Canet +1
Stochastic phenomena are often described by Langevin equations, which serve as a mesoscopic model for microscopic dynamics. It is known since the work of Parisi and Sourlas that re…
Mapping current and activity fluctuations in exclusion processes: consequences and open questions
Matthieu Vanicat, Eric Bertin, Vivien Lecomte +1
Considering the large deviations of activity and current in the Asymmetric Simple Exclusion Process (ASEP), we show that there exists a non-trivial correspondence between the joint…
Hysteretic depinning of a particle in a periodic potential: Phase diagram and criticality
Víctor H. Purrello, José L. Iguain, Vivien Lecomte +1
We consider a massive particle driven with a constant force in a periodic potential and subjected to a dissipative friction. As a function of the drive and damping, the phase diagr…
Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
Nicolás Tizón-Escamilla, Vivien Lecomte, Eric Bertin
We consider a particle with a Langevin dynamics driven by a uniform non-conservative force, in a one-dimensional potential with periodic boundary conditions. We are interested in t…
Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
Eric Woillez, Yariv Kafri, Vivien Lecomte
We evaluate the steady-state distribution and escape rate for an Active Ornstein-Uhlenbeck Particle (AOUP) using methods from the theory of large deviations. The calculation is car…
Dynamical phase coexistence in the Fredrickson-Andersen model
Robert L. Jack, Takahiro Nemoto, Vivien Lecomte
We analyse a first-order dynamical phase transition that takes place in the Fredrickson--Andersen (FA) model. We construct a two-dimensional spin system whose thermodynamic propert…
Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
Yongjoo Baek, Yariv Kafri, Vivien Lecomte
We introduce and study a class of particle hopping models consisting of a single box coupled to a pair of reservoirs. Despite being zero-dimensional, in the limit of large particle…
Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
Nicolás Tizón-Escamilla, Vivien Lecomte, Eric Bertin
In this work we focus on fluctuations of time-integrated observables for a particle diffusing in a one-dimensional periodic potential in the weak-noise asymptotics. Our interest go…
Building a path-integral calculus: a covariant discretization approach
Leticia F. Cugliandolo, Vivien Lecomte, Frédéric Van Wijland
Path integrals are a central tool when it comes to describing quantum or thermal fluctuations of particles or fields. Their success dates back to Feynman who showed how to use them…
Statistics of zero crossings in rough interfaces with fractional elasticity
Arturo L. Zamorategui, Vivien Lecomte, Alejandro B. Kolton
We study numerically the distribution of zero crossings in one-dimensional elastic interfaces described by an overdamped Langevin dynamics with periodic boundary conditions. We mod…
Dynamical phase transitions in the current distribution of driven diffusive channels
Yongjoo Baek, Yariv Kafri, Vivien Lecomte
We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phas…
Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager-Machlup approach
Leticia F. Cugliandolo, Vivien Lecomte
The definition and manipulation of Langevin equations with multiplicative white noise require special care (one has to specify the time discretisation and a stochastic chain rule h…
Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
Takahiro Nemoto, Robert L. Jack, Vivien Lecomte
We analyze large deviations of the time-averaged activity in the one dimensional Fredrickson-Andersen model, both numerically and analytically. The model exhibits a dynamical phase…
KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
Steven Mathey, Elisabeth Agoritsas, Thomas Kloss +2
We investigate the stationary-state fluctuations of a growing one-dimensional interface described by the KPZ dynamics with a noise featuring smooth spatial correlations of characte…
Power countings versus physical scalings in disordered elastic systems - Case study of the one-dimensional interface
Elisabeth Agoritsas, Vivien Lecomte
We study the scaling properties of a one-dimensional interface at equilibrium, at finite temperature and in a disordered environment with a finite disorder correlation length. We f…
Dynamical symmetry breaking and phase transitions in driven diffusive systems
Yongjoo Baek, Yariv Kafri, Vivien Lecomte
We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of…
Finite-Time and -Size Scalings in the Evaluation of Large Deviation Functions: Numerical Approach in Continuous Time
Esteban Guevara Hidalgo, Takahiro Nemoto, Vivien Lecomte
Rare trajectories of stochastic systems are important to understand -- because of their potential impact. However, their properties are by definition difficult to sample directly.…