Random walks on finite lattices with traps

Random walks on finite lattices with traps

We consider dissipative processes involving both chemical reaction and physical diffusion in systems for which the influence of boundaries and system size on the dynamics cannot be neglected. We report the results of Monte Carlo simulations on an irreversible reaction in a confined system subject to...

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Veröffentlicht in:Phys. Rev., B: Condens. Matter; (United States) B: Condens. Matter; (United States), 1980-01, Vol.21 (4), p.1400-1407
Hauptverfasser: Hatlee, Michael D., Kozak, John J.
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Sprache:eng
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656000 - Condensed Matter Physics
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
CHEMICAL REACTIONS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIFFUSION
MONTE CARLO METHOD
SIZE
TRAPS
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container_title Phys. Rev., B: Condens. Matter; (United States)
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creator Hatlee, Michael D.
Kozak, John J.
description We consider dissipative processes involving both chemical reaction and physical diffusion in systems for which the influence of boundaries and system size on the dynamics cannot be neglected. We report the results of Monte Carlo simulations on an irreversible reaction in a confined system subject to two sorts of finite boundary conditions. The problem is posed in such a way as to take maximal advantage of two earlier studies: Montroll's work on random walks on d-dimensional periodic lattices with traps, and the work of Sanders, Ruijgrok, and ten Bosch on random walks on two-dimensional finite lattices with traps. Our results are used to discuss the concept of reduction of dimensionality as introduced by Adam and Delbrueck in their study of biological diffusion processes.
doi_str_mv 10.1103/PhysRevB.21.1400
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source American Physical Society Journals
subjects 656000 - Condensed Matter Physics
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
CHEMICAL REACTIONS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIFFUSION
MONTE CARLO METHOD
SIZE
TRAPS
title Random walks on finite lattices with traps
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