From simple lattice models to systems of interacting particles : the role of stochastic regularity in transport models
(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)
- author
- Brasiello, Antonio ; Cocco, Davide ; Garofalo, Fabio LU and Giona, Massimiliano
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- in
- European Physical Journal: Special Topics
- volume
- 228
- issue
- 1
- pages
- 17 pages
- publisher
- Springer
- 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
- 2022-03-10 17:21:39
@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 = {{Springer}},
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}},
doi = {{10.1140/epjst/e2019-800111-4}},
volume = {{228}},
year = {{2019}},
}