INVESTIGADORES
IGUAIN jose luis
artículos
Título:
Local Einstein relation for fractals
Autor/es:
PADILLA, L.; IGUAIN, J.L.
Revista:
PHYSICA SCRIPTA - (Print)
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2023 vol. 98
ISSN:
0031-8949
Resumen:
We study single random walks and the electrical resistance for fractals obtained as the limit of a sequence of periodic structures. In the long-scale regime, power laws describe both the mean-square displacement of a random walk as a function of time and the electrical resistance as a function of length. We show that the corresponding power-law exponents satisfy the Einstein relation. For shorter scales, where these exponents depend on length, we find how the Einstein relation can be generalized to hold locally. All these findings were analytically derived and confirmed by numerical simulations.
