典型文献
Renormalization Group Theory of Eigen Microstates
文献摘要：
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 eigenvalues.Under the renormalization of a factor b,the largest eigenvalue σ1 has two trivial fixed points at low and high temperature limits and a critical fixed point with the RG relation σb1=bβ/νσ1,where β and ν are the critical exponents of order parameter and correlation length,respectively.With 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 class.Our 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.
文献关键词：
中图分类号：
作者姓名：
Teng Liu;Gao-Ke Hu;Jia-Qi Dong;Jing-Fang Fan;Mao-Xin Liu;Xiao-Song Chen
作者机构：
School of Systems Science/Institute of Nonequilibrium Systems,Beijing Normal University,Beijing 100875,China;Lanzhou Center for Theoretical Physics,Key Laboratory of Theoretical Physics of Gansu Province,and Key Laboratory for Magnetism and Magnetic Materials of MOE,Lanzhou University,Lanzhou 730000,China;School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China
文献出处：
引用格式：
[1]Teng Liu;Gao-Ke Hu;Jia-Qi Dong;Jing-Fang Fan;Mao-Xin Liu;Xiao-Song Chen-.Renormalization Group Theory of Eigen Microstates)[J].中国物理快报（英文版）,2022(08):19-24
A类：
Renormalization,Microstates,microstates,microstate
B类：
Group,Theory,Eigen,We,propose,renormalization,group,RG,theory,which,are,introduced,statistical,ensemble,composed,obtained,from,experiments,computer,simulations,can,considered,linear,superposition,probability,amplitudes,equal,their,eigenvalues,Under,largest,has,two,trivial,fixed,points,low,high,temperature,limits,critical,b1,where,exponents,order,parameter,correlation,length,respectively,With,Ising,model,different,dimensions,been,demonstrated,that,able,identify,predict,universality,class,Our,used,research,phenomena,both,equilibrium,systems,without,considering,Hamiltonian,foundation,Wilson,absent,most,complex
AB值：
0.524203
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
