We study reaction-diffusion processes with multi-species particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject and remove particles, thus creating stationary currents. We consider the condition that the time evolution of the average occupation evolves as the discretized version of a system of coupled diffusive equations with linear reactions. In particular, we identify a specific one-parameter family of such linear reaction-diffusion systems where the hydrodynamic limit behaviour can obtained by means of a dual process. We show that partial uphill diffusion is possible for the discrete particle systems on the lattice, whereas it is lost in the hydrodynamic limit.

Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems / Casini, F.; Giardinà, C.; Vernia, C.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 190:8(2023), pp. 1-32. [10.1007/s10955-023-03141-3]

Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems

Casini F.
;
Giardinà C.;Vernia C.
2023

Abstract

We study reaction-diffusion processes with multi-species particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject and remove particles, thus creating stationary currents. We consider the condition that the time evolution of the average occupation evolves as the discretized version of a system of coupled diffusive equations with linear reactions. In particular, we identify a specific one-parameter family of such linear reaction-diffusion systems where the hydrodynamic limit behaviour can obtained by means of a dual process. We show that partial uphill diffusion is possible for the discrete particle systems on the lattice, whereas it is lost in the hydrodynamic limit.
2023
190
8
1
32
Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems / Casini, F.; Giardinà, C.; Vernia, C.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 190:8(2023), pp. 1-32. [10.1007/s10955-023-03141-3]
Casini, F.; Giardinà, C.; Vernia, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1315506
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