A Variational Structure for Interacting Particle Systems and their Hydrodynamic Scaling Limits

Marcus Kaiser, Robert L. Jack, Johannes Zimmer

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)

Abstract

We consider hydrodynamic scaling limits for a class of reversible interacting particle systems, which includes the symmetric simple exclusion process and certain zero-range processes. We study a (non-quadratic) microscopic action functional for these systems. We analyse the behaviour of this functional in the hydrodynamic limit and we establish conditions under which it converges to the (quadratic) action functional of Macroscopic Fluctuation Theory. We discuss the implications of these results for rigorous analysis of hydrodynamic limits.
Original languageEnglish
Pages (from-to)739-780
Number of pages42
JournalCommunications in Mathematical Sciences
Volume17
Issue number3
DOIs
Publication statusPublished - 30 Aug 2019

Keywords

  • math-ph
  • math.AP
  • math.MP

Fingerprint

Dive into the research topics of 'A Variational Structure for Interacting Particle Systems and their Hydrodynamic Scaling Limits'. Together they form a unique fingerprint.

Cite this