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Non-equilibrium relaxation process of complex systems and its statistical physical properties

2019/01/31 by Huang, Zhifu, Wang, Yuqing
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1901.11256

Abstract

We constructed a model that evolved from a non-equilibrium state to an equilibrium state. The model only needs two basic coefficients, including self-similar coefficients and non-equilibrium coefficients. The coefficients of the model can be obtained directly from real data. The model can well represent the phenomena of anomalous diffusion, non-Gaussian distribution and so on in non-equilibrium complex systems. It is important to mention that the model is a global iterative model that can exhibit statistical physical properties on multiple time scales, as well as exhibiting long-term memory properties. This model may be used as a basic model for the research of various non-equilibrium relaxation process phenomena.

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