Renormalization Group Theory of Eigen Microstates

作     者：Teng Liu Gao-Ke Hu Jia-Qi Dong Jing-Fang Fan Mao-Xin Liu and Xiao-Song Chen 刘腾;胡高科;董家奇;樊京芳;刘卯鑫;陈晓松

作者机构：School of Systems Science/Institute of Nonequilibrium SystemsBeijing Normal UniversityBeijing 100875China Lanzhou Center for Theoretical PhysicsKey Laboratory of Theoretical Physics of Gansu Provinceand Key Laboratory for Magnetism and Magnetic Materials of MOELanzhou UniversityLanzhou 730000China School of ScienceBeijing University of Posts and TelecommunicationsBeijing 100876China 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2022年第39卷第8期

页      面：16-21页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.12135003) 

主　　题：critical states equilibrium 

摘      要：We propose a renormalization group(RG)theory of eigen microstates,which are introduced in the statistical ensemble composed of microstates obtained from experiments or computer simulations.A microstate in the ensemble can be considered as a linear superposition of eigen microstates with probability amplitudes equal to their *** the renormalization of a factor b,the largest eigenvalueσ1 has two trivial fixed points at low and high temperature limits and a critical fixed point with the RG relationσb1=bβ/νσ1,whereβandνare the critical exponents of order parameter and correlation length,*** the Ising model in different dimensions,it has been demonstrated that the RG theory of eigen microstates is able to identify the critical point and to predict critical exponents and the universality *** theory can be used in research of critical phenomena both in equilibrium and non-equilibrium systems without considering the Hamiltonian,which is the foundation of Wilson’s RG theory and is absent for most complex systems.