Stroboscopic exclusion process: A first-moment–driven dynamics
(2021) Europhysics Letters : a letters journal exploring the frontiers of physics — Vol. 133, n° 4, p. 40002 (2021)
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- Abstract
- We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities and in suitable scaling limits for space and time, we compute the time evolution of the particle density starting from an arbitrary initial configuration, with closed boundary conditions. The core of the argument is the analysis of the time evolution of the moments. Numerical results are compared with the prediction and give excellent agreement.
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Citations
Debin, B., & Granet, E. (2021). Stroboscopic exclusion process: A first-moment–driven dynamics. Europhysics Letters : a letters journal exploring the frontiers of physics, 133(4), 40002. https://doi.org/10.1209/0295-5075/133/40002 (Original work published 2021)