137 citations · 515 across the 21 of their papers we have counts for
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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…
Matrix product state of multi-time correlations
Katja Klobas, Matthieu Vanicat, Juan P. Garrahan +1
For an interacting spatio-temporal lattice system we introduce a formal way of expressing multi-time correlation functions of local observables located at the same spatial point wi…
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
Marko Medenjak, Vladislav Popkov, Tomaž Prosen +2
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial…
Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
Berislav Buča, Juan P. Garrahan, Tomaž Prosen +1
We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered…
Time-dependent matrix product ansatz for interacting reversible dynamics
Katja Klobas, Marko Medenjak, Tomaz Prosen +1
We present an explicit time-dependent matrix product ansatz (tMPA) which describes the time-evolution of any local observable in an interacting and deterministic lattice gas, speci…
Matrix Product representation of the stationary state of the open Zero Range Process
Eric Bertin, Matthieu Vanicat
Many one-dimensional lattice particle models with open boundaries, like the paradigmatic Asymmetric Simple Exclusion Process (ASEP), have their stationary states represented in the…
Matrix product solution to multi-species ASEP with open boundaries
C. Finn, E. Ragoucy, M. Vanicat
We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and ar…
Integrable Trotterization: Local Conservation Laws and Boundary Driving
Matthieu Vanicat, Lenart Zadnik, Tomaž Prosen
We discuss a general procedure to construct an integrable real-time trotterization of interacting lattice models. As an illustrative example we consider a spin- chain, with co…
Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory
Matthieu Vanicat
We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as phy…
Matrix product solution to a 2-species TASEP with open integrable boundaries
N. Crampe, M. R. Evans, K. Mallick +2
We present an explicit representation for the matrix product ansatz for some two-species TASEP with open boundary conditions. The construction relies on the integrability of the mo…
Integrable dissipative exclusion process: Correlation functions and physical properties
N. Crampe, E. Ragoucy, V. Rittenberg +1
We study a one-parameter generalization of the symmetric simple exclusion process on a one dimensional lattice. In addition to the usual dynamics (where particles can hop with equa…
Inhomogeneous discrete-time exclusion processes
N. Crampe, K. Mallick, E. Ragoucy +1
We study discrete time Markov processes with periodic or open boundary conditions and with inhomogeneous rates in the bulk. The Markov matrices are given by the inhomogeneous trans…
Open two-species exclusion processes with integrable boundaries
N. Crampe, K. Mallick, E. Ragoucy +1
We give a complete classification of integrable Markovian boundary conditions for the asymmetric simple exclusion process with two species (or classes) of particles. Some of these…