Zobrazeno 1 - 10
of 343
pro vyhledávání: '"GONCALVES, Patricia"'
Autor:
Cardoso, Pedro, Gonçalves, Patrícia
The purpose of this article is to derive the crossover from the Ornstein-Uhlenbeck process to energy solutions of the stochastic Burgers equation with characteristic operators given in terms of fractional operators, such as the regional fractional La
Externí odkaz:
http://arxiv.org/abs/2412.10068
We consider a class of generalized long-range exclusion processes evolving either on $\mathbb Z$ or on a finite lattice with an open boundary. The jump rates are given in terms of a general kernel depending on both the departure and destination sites
Externí odkaz:
http://arxiv.org/abs/2410.17899
Autor:
Cardoso, Pedro, Gonçalves, Patrícia
In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a family of long range interacting particle systems of exclusion type with symmetric rates. For $m \in \mathbb{N}:=\{1, 2, \ldots\}$ fixed, the hydrodynamic equ
Externí odkaz:
http://arxiv.org/abs/2407.02246
We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jump rate satisfying an exclusion rule that allows up to a certain number
Externí odkaz:
http://arxiv.org/abs/2405.15142
In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, that dictates that no more than a particle per site with a fixed velocit
Externí odkaz:
http://arxiv.org/abs/2304.03634
We study the equilibrium fluctuations of an interacting particle system evolving on the discrete ring with $N\in\mathbb N$ points, denoted by $\mathbb T_N$, and with three species of particles that we name $A,B$ and $C$, but such that at each site th
Externí odkaz:
http://arxiv.org/abs/2304.02344
We obtain the hydrodynamic limit of symmetric long-jumps exclusion in $\mathbb{Z}^d$ (for $d \geq 1$), where the jump rate is inversely proportional to a power of the jump's length with exponent $\gamma+1$, where $\gamma \geq 2$. Moreover, movements
Externí odkaz:
http://arxiv.org/abs/2304.01152
Autor:
Gonçalves, Patrícia, Hayashi, Kohei
A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear potential under high-temperature regime by taking the inverse temperature
Externí odkaz:
http://arxiv.org/abs/2301.09898
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit of this microscopic system in the diffusive space-time scaling is the p
Externí odkaz:
http://arxiv.org/abs/2301.06585
In this article we obtain the equilibrium fluctuations of a symmetric exclusion process in $\mathbb{Z}$ with long jumps. The transition probability of the jump from $x$ to $y$ is proportional to $|x-y|^{-\gamma-1}$. Here we restrict to the choice $\g
Externí odkaz:
http://arxiv.org/abs/2212.12089