| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article overview
| |
|
Hydrodynamical behavior of symmetric exclusion with slow bonds | Tertuliano Franco
; Patricia Goncalves
; Adriana Neumann
; | Date: |
22 Oct 2010 | Abstract: | We consider the exclusion process in the one-dimensional discrete torus with
$N$ points, where all the bonds have conductance one, except a finite number of
slow bonds, with conductance $N^{-eta}$, with $etain[0,infty)$. We prove
that the time evolution of the empirical density of particles, in the diffusive
scaling, has a distinct behavior according to the range of the parameter
$eta$. If $etain [0,1)$, the hydrodynamic limit is given by the usual heat
equation. If $eta=1$, it is given by a parabolic equation involving an
operator $frac{d}{dx}frac{d}{dW}$, where $W$ is the Lebesgue measure on the
torus plus the sum of the Dirac measure supported on each macroscopic point
related to the slow bond. If $etain(1,infty)$, it is given by the heat
equation with Neumann’s boundary conditions, meaning no passage through the
slow bonds in the continuum. | Source: | arXiv, 1010.4769 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |