Exact anomalous current fluctuations in a deterministic interacting model
We analytically compute the full counting statistics of charge transfer in a classical
automaton of interacting charged particles. Deriving a closed-form expression for the …
automaton of interacting charged particles. Deriving a closed-form expression for the …
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 …
Universal anomalous fluctuations in charged single-file systems
Introducing a general class of one-dimensional single-file systems (meaning that particle
crossings are prohibited) of interacting hardcore particles with internal degrees of freedom …
crossings are prohibited) of interacting hardcore particles with internal degrees of freedom …
Exact" hydrophobicity" in deterministic circuits: dynamical fluctuations in the Floquet-East model
We study the dynamics of a classical circuit corresponding to a discrete-time deterministic
kinetically constrained East model. We show that--despite being deterministic--this" Floquet …
kinetically constrained East model. We show that--despite being deterministic--this" Floquet …
Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
R Gutiérrez, C Pérez-Espigares - Physical Review E, 2021 - APS
The study of dynamical large deviations allows for a characterization of stationary states of
lattice gas models out of equilibrium conditioned on averages of dynamical observables …
lattice gas models out of equilibrium conditioned on averages of dynamical observables …
Exact pretransition effects in kinetically constrained circuits: Dynamical fluctuations in the Floquet-East model
We study the dynamics of a classical circuit corresponding to a discrete-time version of the
kinetically constrained East model. We show that this classical “Floquet-East” model …
kinetically constrained East model. We show that this classical “Floquet-East” model …
Bootstrap percolation and kinetically constrained models: two-dimensional universality and beyond
I Hartarsky - 2022 - theses.hal.science
We study two tightly related classes of statistical mechanics models on the two-dimensional
square lattice—kinetically constrained models and bootstrap percolation. The former arose …
square lattice—kinetically constrained models and bootstrap percolation. The former arose …
Mapping current and activity fluctuations in exclusion processes: consequences and open questions
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 …
Process (ASEP), we show that there exists a non-trivial correspondence between the joint …
Large time asymptotic of heavy tailed renewal processes
H Horii, R Lefevere, T Nemoto - Journal of Statistical Physics, 2022 - Springer
We study the large-time asymptotic of renewal-reward processes with a heavy-tailed waiting
time distribution. It is known that the heavy tail of the distribution produces an extremely slow …
time distribution. It is known that the heavy tail of the distribution produces an extremely slow …
Reaction-path statistical mechanics of enzymatic kinetics
We introduce a reaction-path statistical mechanics formalism based on the principle of large
deviations to quantify the kinetics of single-molecule enzymatic reaction processes under …
deviations to quantify the kinetics of single-molecule enzymatic reaction processes under …