170 citations · 1.5k across the 37 of their papers we have counts for
22 papers · 1 filter
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,…
Martingales for physicists: A treatise on stochastic thermodynamics and beyond
Édgar Roldán, Izaak Neri, Raphael Chetrite +4
We review the theory of martingales as applied to stochastic thermodynamics and stochastic processes in physics more generally.
Multicyclic norias: a first-transition approach to extreme values of the currents
Matteo Polettini, Izaak Neri
For continuous-time Markov chains we prove that, depending on the notion of effective affinity , the probability of an edge current to ever become negative is either if $F<…
Extreme value statistics of edge currents in Markov jump processes and their use for entropy production estimation
Izaak Neri, Matteo Polettini
The infimum of an integrated current is its extreme value against the direction of its average flow. Using martingale theory, we show that the infima of integrated edge currents in…
Estimating Entropy Production Rates with First-Passage Processes
Izaak Neri
We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single curren…
Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states
Izaak Neri
We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump pr…
Dynamical systems on large networks with predator-prey interactions are stable and exhibit oscillations
Andrea Marcello Mambuca, Chiara Cammarota, Izaak Neri
We analyse the stability of linear dynamical systems defined on sparse, random graphs with predator-prey, competitive, and mutualistic interactions. These systems are aimed at mode…
Second law of thermodynamics at stopping times
Izaak Neri
Events in mesoscopic systems often take place at first-passage times, as is for instance the case for a colloidal particle that escapes a metastable state. An interesting question…
Linear stability analysis for large dynamical systems on directed random graphs
Izaak Neri, Fernando Lucas Metz
We present a linear stability analysis of stationary states (or fixed points) in large dynamical systems defined on random directed graphs with a prescribed distribution of indegre…
Integral Fluctuation Relations for Entropy Production at Stopping Times
Izaak Neri, Edgar Roldán, Simone Pigolotti +1
A stopping time is the first time when a trajectory of a stochastic process satisfies a specific criterion. In this paper, we use martingale theory to derive the integral fluct…
Spectral Theory of Sparse Non-Hermitian Random Matrices
Fernando Lucas Metz, Izaak Neri, Tim Rogers
Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to eco…
Martingale theory for housekeeping heat
Raphael Chetrite, Shamik Gupta, Izaak Neri +1
The housekeeping heat is the energy exchanged between a system and its environment in a nonequilibrium process that results from the violation of detailed balance. We describe fluc…
Extreme reductions of entropy in an electronic double dot
Shilpi Singh, Édgar Roldán, Izaak Neri +6
We experimentally study negative fluctuations of stochastic entropy production in an electronic double dot operating in nonequilibrium steady-state conditions. We record millions o…
Generic Properties of Stochastic Entropy Production
Simone Pigolotti, Izaak Neri, Édgar Roldán +1
We derive an Ito stochastic differential equation for entropy production in nonequilibrium Langevin processes. Introducing a random-time transformation, entropy production obeys a…
Eigenvalue Outliers of non-Hermitian Random Matrices with a Local Tree Structure
Izaak Neri, Fernando Lucas Metz
Spectra of sparse non-Hermitian random matrices determine the dynamics of complex processes on graphs. Eigenvalue outliers in the spectrum are of particular interest, since they de…
Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
Izaak Neri, Édgar Roldán, Frank Jülicher
We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two…
Decision Making in the Arrow of Time
Édgar Roldán, Izaak Neri, Meik Dörpinghaus +2
We show that the steady-state entropy production rate of a stochastic process is inversely proportional to the minimal time needed to decide on the direction of the arrow of time.…
Exclusion processes on networks as models for cytoskeletal transport
I. Neri, N. Kern, A. Parmeggiani
We present a study of exclusion processes on networks as models for complex transport phenomena and in particular for active transport of motor proteins along the cytoskeleton. We…
Modelling cytoskeletal traffic: an interplay between passive diffusion and active transport
I. Neri, N. Kern, A. Parmeggiani
We introduce the totally asymmetric exclusion process with Langmuir kinetics (TASEP-LK) on a network as a microscopic model for active motor protein transport on the cytoskeleton,…
Spectra of sparse non-Hermitian random matrices: an analytical solution
I. Neri, F. L. Metz
We present the exact analytical expression for the spectrum of a sparse non-Hermitian random matrix ensemble, generalizing two classical results in random-matrix theory: this analy…
Spectra of sparse regular graphs with loops
F. L. Metz, I. Neri, D. Bollé
We derive exact equations that determine the spectra of undirected and directed sparsely connected regular graphs containing loops of arbitrary length. The implications of our resu…
The totally asymmetric simple exclusion process on networks
I. Neri, N. Kern, A. Parmeggiani
We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TAS…