Dynamical phase transition in slowed exclusion processes

In this work, we present symmetric simple exclusion processes with a finite number of bonds whose dynamics is slowed down in order to difficult the passage of particles at those bonds. We study the influence of the rate of passage of mass at those bonds in the macroscopic hydrodynamic equation. As a...

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Bibliographic Details
Main Author: Franco, Tertuliano (author)
Other Authors: Gonçalves, Patrícia (author), Neumann, Adriana (author)
Format: conferencePaper
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/1822/24733
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/24733
Description
Summary:In this work, we present symmetric simple exclusion processes with a finite number of bonds whose dynamics is slowed down in order to difficult the passage of particles at those bonds. We study the influence of the rate of passage of mass at those bonds in the macroscopic hydrodynamic equation. As a consequence, we exhibit a dynamical phase transition that goes from smooth profiles to the development of discontinuities.