scholarly journals Non-local Conservation Law from Stochastic Particle Systems

2017 ◽  
Vol 30 (4) ◽  
pp. 1661-1682
Author(s):  
Marielle Simon ◽  
Christian Olivera
Keyword(s):  
Conservation Law ◽  
Particle Systems ◽  
Local Conservation ◽  
Stochastic Particle Systems ◽  
Non Local ◽  
Stochastic Particle ◽  
Local Conservation Law

scholarly journals GPU‐accelerated simulation of a non‐local conservation law

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Simone Göttlich ◽  
Jann Müller ◽  
Jennifer Weissen
Keyword(s):  
Conservation Law ◽  
Local Conservation ◽  
Accelerated Simulation ◽  
Non Local ◽  
Local Conservation Law

scholarly journals Monotonicity and condensation in homogeneous stochastic particle systems

2018 ◽  
Vol 54 (2) ◽  
pp. 790-818 ◽  
Author(s):  
Thomas Rafferty ◽  
Paul Chleboun ◽  
Stefan Grosskinsky
Keyword(s):  
Particle Systems ◽  
Stochastic Particle Systems ◽  
Stochastic Particle

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.

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