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 …
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 …
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 …
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
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 …
quantum many-body problems—are well suited for the detailed study of rare event statistics …
Finite time large deviations via matrix product states
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 …
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
We analyze large deviations of the time-averaged activity in the one-dimensional
Fredrickson-Andersen model, both numerically and analytically. The model exhibits a …
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 …
highly developed. Stochastic thermodynamics extends the framework of thermodynamics …
Optimal sampling of dynamical large deviations via matrix product states
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 …
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
We investigate Lee-Yang zeros of generating functions of dynamical observables and
establish a general relation between phase transitions in ensembles of trajectories of …
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
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 …
a one-dimensional periodic potential in the weak-noise asymptotics. Our interest goes to …