Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Vanicat, Matthieu"'
Publikováno v:
SciPost Phys. 10, 028 (2021)
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 scaled cumulant generating functions of activity and current of two A
Externí odkaz:
http://arxiv.org/abs/2011.02202
Publikováno v:
J. Phys. A: Math. Theor. 53 335001 (2020)
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 with a time state, i.e. a statistical distribution of configurations obs
Externí odkaz:
http://arxiv.org/abs/1912.09742
Publikováno v:
SciPost Phys. 6, 074 (2019)
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 value problem, corresponding to the inhomogeneous quench and the local
Externí odkaz:
http://arxiv.org/abs/1903.10590
Publikováno v:
Phys. Rev. E 100, 020103 (2019)
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 as a discrete-time and deterministic version of the Fredrickson-Anders
Externí odkaz:
http://arxiv.org/abs/1901.00845
Autor:
Vanicat, Matthieu
Malgré son indéniable succès pour décrire les systèmes physiques à l'équilibre thermodynamique (grâce à la distribution de Boltzmann, reflétant la maximisation de l'entropie, et permettant la construction systématique de potentiels thermod
Externí odkaz:
http://www.theses.fr/2017GREAY029/document
Publikováno v:
Commun. Math. Phys. 371, 651-688 (2019)
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, specifically for the rule 54 reversible cellular automaton of [Bobenko et a
Externí odkaz:
http://arxiv.org/abs/1807.05000
Autor:
Bertin, Eric, Vanicat, Matthieu
Many one-dimensional lattice particle models with open boundaries, like the paradigmatic Asymmetric Simple Exclusion Process (ASEP), have their stationary states represented in the form of a matrix product, with matrices that do not explicitly depend
Externí odkaz:
http://arxiv.org/abs/1803.08275
Publikováno v:
Phys. Rev. Lett. 121, 030606 (2018)
We discuss a general procedure to construct an integrable real-time trotterization of interacting lattice models. As an illustrative example we consider a spin-$1/2$ chain, with continuous time dynamics described by the isotropic ($XXX$) Heisenberg H
Externí odkaz:
http://arxiv.org/abs/1712.00431
Autor:
Vanicat, Matthieu
We present a general method for constructing integrable stochastic processes, with two-step discrete time Floquet dynamics, from the transfer matrix formalism. The models can be interpreted as a discrete time parallel update. The method can be applie
Externí odkaz:
http://arxiv.org/abs/1711.08884
Autor:
Vanicat, Matthieu
In the first part of the thesis we construct models, called integrable, in which we can perform exact computations of physical quantities. We introduce several new out-of-equilibrium models that are obtained by solving, in specific cases, the Yang-Ba
Externí odkaz:
http://arxiv.org/abs/1708.02440