Space-Time Fluctuations in a Quasi-static Limit

We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space.

• Publication year

  2023

• Venue

  Mathematical physics, analysis and geometry

• Publication date

  2023-05-09

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1007/s11040-023-09474-5arXiv 2305.05319
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Hydrodynamical Behavior for the Symmetric Simple Partial Exclusion with Open Boundary

  2022cited by this paper
• Quasi-static limit for the asymmetric simple exclusion

  2021cited by this paper
• Distributions

  2020cited by this paper
• Quasi-Static Hydrodynamic Limits

  2015influential reference
• Nonlinear Fluctuations of Weakly Asymmetric Interacting Particle Systems

  2013cited by this paper
• A stochastic Burgers equation from a class of microscopic interactions

  2012cited by this paper
• Distributions: Theory and Applications

  2010cited by this paper
• Correlation Inequalities for Interacting Particle Systems with Duality

  2010cited by this paper
• Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes

  2006cited by this paper
• Large Scale Dynamics of Interacting Particles

  1991influential reference
• Relative entropy and hydrodynamics of Ginzburg-Landau models

  1991cited by this paper
• Nonlinear diffusion limit for a system with nearest neighbor interactions

  1988cited by this paper
• Long range correlations for stochastic lattice gases in a non-equilibrium steady state

  1983cited by this paper
• Heat flow in an exactly solvable model

  1982cited by this paper

• Mesoscale mode coupling theory for the weakly asymmetric simple exclusion process

  2023cites this paper