Approach to equilibrium of particles diffusing on curved surfaces

D. Plewczyński and R. Hołyst

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 3, 371-378

Abstract: We present a simple numerical analysis of the diffusion on a curved surface given by the equation φ(r)=0 in a finite domain D⊂R3. The first non-vanishing eigenvalue of the Beltrami–Laplace operator with the reflecting boundary conditions is determined in our simulations for the P, D, G, S, S1 and I-WP, nodal periodic surfaces, where D is their respective cubic unit cell. We observe that the first eigenvalue for the surfaces of simple topology (P,D,G,I-WP) is smaller than for the surfaces of complex topology (S,S1).

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:3:p:371-378

DOI: 10.1016/S0378-4371(01)00120-0

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