【相变及动力学临界现象吴思】.pdf
相变及动力学临界现象 PHASETRANSITIONANDDYNAMICALCRITICALPHENOMENA 吴思 一九九五年五月 DISSERTATIONSUBMITTEDTO DEPARTMENT OFPHYSICS,BEIJINGNORMALUNIVERSITY FORFULFILMENTFORTHEREOUIREMENTOF THEDEGREEOFDOCTOROFPHILOSOPHY
Abstract Inthis thesis.we summarize ourwork finished duringtheperiod of doctoral study.The man results are the following:1.Geometryphasetransitiononfractalshasbeeninvestigatedby using the generating function method,including self-avoiding random walksonafamilyofdiamond-typehierarchicallatticesandb
Contents 1 Gometry phase transition on fractals 1Introduction 1Self-avoidingrandomwalks onafamilyofdiamond-type hierarchical lattices Introduction 1 ModelandResult 1 Conclusion and discussion Bond Percolation on BranchingKoch Curves 1 Introduction 1.