What question did this study set out to answer?

Investigate whether uphill diffusion can emerge in driven multi-species interacting particle systems on discrete lattices and evaluate its survival in the continuous hydrodynamic limit.

July 31, 2023Journal of Statistical PhysicsOpen Access

Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems

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Authors

FCFrancesco CasiniKU Leuven CGCristian GiardinàUniversity of Modena and Reggio Emilia CVCecilia VerniaUniversity of Modena and Reggio Emilia

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Implication

Theoretical analysis reveals partial uphill diffusion in discrete multi-species lattice particle systems, indicating that such non-classical transport disappears at the continuous hydrodynamic limit.

Key Points

Investigate whether uphill diffusion can emerge in driven multi-species interacting particle systems on discrete lattices and evaluate its survival in the continuous hydrodynamic limit.
Modeled multi-species reaction-diffusion processes with hard-core exclusion on a discrete lattice coupled to boundary reservoirs that inject and remove particles.
Identified a one-parameter family of linear reaction-diffusion equations and derived the macroscopic hydrodynamic limit using a dual particle process.
Demonstrated that discrete lattice systems with boundary driving exhibit partial uphill diffusion against local particle concentration gradients.
Proved that uphill diffusion vanishes in the continuum hydrodynamic limit, reverting to standard coupled diffusive behavior.

Cite This Study

Casini et al. (2023) studied this question.

synapsesocial.com/papers/6a86b6e9854ced5b0ecf79e8 https://doi.org/10.1007/s10955-023-03141-3

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Implication

Theoretical analysis reveals partial uphill diffusion in discrete multi-species lattice particle systems, indicating that such non-classical transport disappears at the continuous hydrodynamic limit.

Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

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