A pr 1 99 6 Hierarchical Diffusion , Aging and Multifractality Hajime Yoshino
نویسنده
چکیده
We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that an autocorrelation function shows crossover behavior from a power law t−x in the quasi-equilibrium regime (t ≪ tw) to another power law t−λ (λ ≥ x) in the off-equilibrium regime (t ≫ tw) obeying a simple t/tw scaling law. The exponents x and λ are related with the so called mass exponents which characterize the multifractality. Present Adress: Institute for Solid State Physics, Univ. of Tokyo, 7-22-1 Roppongi, Minato-ku Tokyo 106, Japan E-Mail: [email protected]
منابع مشابه
N ov 1 99 6 Hierarchical Diffusion , Aging and Multifractality
We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior from a power law t−x in the quasi-equilibrium regime (t ≪ tw) to another power law t −λ (λ ≥ x) in the off-equilibrium regime (t ≫ tw) obeying a simple t/tw s...
متن کامل2 7 M ar 1 99 7 A hierarchical model for aging ∗
We present a one dimensional model for diffusion on a hierarchical tree structure. It is shown that this model exhibits aging phenomena although no disorder is present. The origin of aging in this model is therefore the hierarchical structure of phase space.
متن کاملA pr 1 99 5 Phase space diffusion and low temperature aging
We study the dynamical evolution of a system with a phase space consisting of configurations with random energies. The dynamics we use is of Glauber type. It allows for some dynamical evolution ang aging even at very low temperatures, through the search of configurations with lower energies.
متن کاملRelaxational Modes and Aging in the Glauber Dynamics of the Sherrington-Kirkpatrick Model
The fascinating features of aging effects of spin-glasses revealed by experiments 1) have arose much theoretical interest in recent years, which includes various phenomenologies 2) 3), analytic predictions 4) and numerical simulations. 5) 6) In order to seek for concrete information to provide theoretical base, we study the relaxational modes of the Glauber dynamics of the mean-field spin-glass...
متن کامل7 M ay 1 99 7 Diffusion and multifractality at the metal - insulator transition
We review the time evolution of wavepackets at the metal-insulator transition in twoand three-dimensional disordered systems. The importance of scale invariance and multifractal eigenfunction fluctuations is stressed. The implications of the frequencyand wavevector-dependence of the diffusion coefficient are compared with the results of numerical simulations. We argue that network models are pa...
متن کامل