Advanced

From simple lattice models to systems of interacting particles : the role of stochastic regularity in transport models

Brasiello, Antonio; Cocco, Davide; Garofalo, Fabio LU and Giona, Massimiliano (2019) In European Physical Journal: Special Topics 228(1). p.93-109
Abstract

The concept of stochastic regularity in lattice models corresponds to the physical constraint that the lattice parameters defining particle stochastic motion (specifically, the lattice spacing and the hopping time) attain finite values. This assumption, that is physically well posed, as it corresponds to the existence of bounded mean free path and root mean square velocity, modifies the formulation of the classical hydrodynamic limit for lattice models of particle dynamics, transforming the resulting balance equations for the probability density function from parabolic to hyperbolic. Starting from simple, but non trivial, lattice models of non interacting particles, the article analyzes the role of stochastic regularity in the... (More)

The concept of stochastic regularity in lattice models corresponds to the physical constraint that the lattice parameters defining particle stochastic motion (specifically, the lattice spacing and the hopping time) attain finite values. This assumption, that is physically well posed, as it corresponds to the existence of bounded mean free path and root mean square velocity, modifies the formulation of the classical hydrodynamic limit for lattice models of particle dynamics, transforming the resulting balance equations for the probability density function from parabolic to hyperbolic. Starting from simple, but non trivial, lattice models of non interacting particles, the article analyzes the role of stochastic regularity in the formulation of the hydrodynamic equations. Specifically, the case of multiphase lattice models is considered both in regular and disordered structures, and the way of including interaction potential within the hyperbolic transport formalism analyzed.

(Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
European Physical Journal: Special Topics
volume
228
issue
1
pages
17 pages
publisher
EDP Sciences
external identifiers
  • scopus:85066238665
ISSN
1951-6355
DOI
10.1140/epjst/e2019-800111-4
language
English
LU publication?
yes
id
7483a800-5684-4f12-9031-ae0155a47b20
date added to LUP
2019-06-12 14:22:51
date last changed
2019-09-17 04:56:16
@article{7483a800-5684-4f12-9031-ae0155a47b20,
  abstract     = {<p>The concept of stochastic regularity in lattice models corresponds to the physical constraint that the lattice parameters defining particle stochastic motion (specifically, the lattice spacing and the hopping time) attain finite values. This assumption, that is physically well posed, as it corresponds to the existence of bounded mean free path and root mean square velocity, modifies the formulation of the classical hydrodynamic limit for lattice models of particle dynamics, transforming the resulting balance equations for the probability density function from parabolic to hyperbolic. Starting from simple, but non trivial, lattice models of non interacting particles, the article analyzes the role of stochastic regularity in the formulation of the hydrodynamic equations. Specifically, the case of multiphase lattice models is considered both in regular and disordered structures, and the way of including interaction potential within the hyperbolic transport formalism analyzed.</p>},
  author       = {Brasiello, Antonio and Cocco, Davide and Garofalo, Fabio and Giona, Massimiliano},
  issn         = {1951-6355},
  language     = {eng},
  number       = {1},
  pages        = {93--109},
  publisher    = {EDP Sciences},
  series       = {European Physical Journal: Special Topics},
  title        = {From simple lattice models to systems of interacting particles : the role of stochastic regularity in transport models},
  url          = {http://dx.doi.org/10.1140/epjst/e2019-800111-4},
  volume       = {228},
  year         = {2019},
}