Ergodicity and large deviations in physical systems with stochastic dynamics

RL Jack - The European Physical Journal B, 2020 - Springer
In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables

JP Garrahan - Physical Review E, 2017 - APS
Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …

Optimal thermodynamic uncertainty relation in Markov jump processes

N Shiraishi - Journal of Statistical Physics, 2021 - Springer
We investigate the tightness and optimality of thermodynamic-uncertainty-relation (TUR)-
type inequalities from two aspects, the choice of the Fisher information and the class of …

Using matrix product states to study the dynamical large deviations of kinetically constrained models

MC Banuls, JP Garrahan - Physical review letters, 2019 - APS
Here we demonstrate that tensor network techniques—originally devised for the analysis of
quantum many-body problems—are well suited for the detailed study of rare event statistics …

Finite time large deviations via matrix product states

L Causer, MC Banuls, JP Garrahan - Physical Review Letters, 2022 - APS
Recent work has shown the effectiveness of tensor network methods for computing large
deviation functions in constrained stochastic models in the infinite time limit. Here we show …

Finite-size scaling of a first-order dynamical phase transition: Adaptive population dynamics and an effective model

T Nemoto, RL Jack, V Lecomte - Physical review letters, 2017 - APS
We analyze large deviations of the time-averaged activity in the one-dimensional
Fredrickson-Andersen model, both numerically and analytically. The model exhibits a …

An Introduction to Stochastic Thermodynamics

N Shiraishi - Fundamental Theories of Physics. Springer, Singapore, 2023 - Springer
In the past three decades, the field of stochastic thermodynamics has been formulated and
highly developed. Stochastic thermodynamics extends the framework of thermodynamics …

Optimal sampling of dynamical large deviations via matrix product states

L Causer, MC Banuls, JP Garrahan - Physical Review E, 2021 - APS
The large deviation statistics of dynamical observables is encoded in the spectral properties
of deformed Markov generators. Recent works have shown that tensor network methods are …

Trajectory Phase Transitions, Lee-Yang Zeros, and High-Order Cumulants<? format?> in Full Counting Statistics

C Flindt, JP Garrahan - Physical review letters, 2013 - APS
We investigate Lee-Yang zeros of generating functions of dynamical observables and
establish a general relation between phase transitions in ensembles of trajectories of …

Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit

N Tizón-Escamilla, V Lecomte… - Journal of Statistical …, 2019 - iopscience.iop.org
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 goes to …