scholarly journals Thermodynamic limit for the invariant measures in supercritical zero range processes

2008 ◽  
Vol 145 (1-2) ◽  
pp. 175-188 ◽  
Author(s):  
Inés Armendáriz ◽  
Michail Loulakis
Keyword(s):  
Thermodynamic Limit ◽  
Invariant Measures ◽  
Zero Range Processes ◽  
Zero Range

scholarly journals Stationary Currents in Particle Systems with Constrained Hopping Rates

2016 ◽  
Vol 41 (2) ◽  
Author(s):  
Emilio N. M. Cirillo ◽  
Matteo Colangeli ◽  
Adrian Muntean
Keyword(s):  
Finite Volume ◽  
Transport Phenomena ◽  
Particle Systems ◽  
Stochastic Particle Systems ◽  
Interaction Distance ◽  
Zero Range Processes ◽  
Zero Range ◽  
Stochastic Particle

AbstractWe study the effect on the stationary currents of constraints affecting the hopping rates in stochastic particle systems. In the framework of zero range processes with drift within a finite volume, we discuss how the current is reduced by the presence of the constraint and deduce exact formulae, fully explicit in some cases. The model discussed here has been introduced by Cirillo et al. (Does communication enhance pedestrians transport in the dark? To appear in C. R. Mécanique 344 (2016), 19–23) and is relevant for the description of pedestrian motion in elongated dark corridors, where the constraint on the hopping rates can be related to limitations on the interaction distance among pedestrians, but finds also applications in the modeling of various transport phenomena.

A remark on the hydrodynamics of the zero-range processes

1984 ◽  
Vol 36 (1-2) ◽  
pp. 81-87 ◽  
Author(s):  
A. De Masi ◽  
P. Ferrari
Keyword(s):  
Zero Range Processes ◽  
Zero Range

scholarly journals Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes

2021 ◽  
Vol 31 (4) ◽  
Author(s):  
C. Bernardin ◽  
T. Funaki ◽  
S. Sethuraman
Keyword(s):  
Burgers Equation ◽  
Zero Range Processes ◽  
Zero Range
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