Type:

Other

Description:

We first discuss a phenomenological mean-field theory of phase transitions due to Landau and introduce the ideas of universality and scaling near critical points. The breakdown of mean-field theory near a critical point leads us to introduce the renormalization group, which has had a major impact on our understanding of phase transitions, quantum field theory, and turbulence. We introduce the renormalization group in the context of percolation, a simple geometrical model that exhibits a continuous transition, and then apply renormalization group methods to the Ising model.

Subjects:

    Education Levels:

    • Grade 1
    • Grade 6
    • Grade 8
    • Grade 9

    Keywords:

    Thermo & Stat Mech,Phase Transitions,Higher Education,Ising Model,NSDL,percolation,Models,osp,Vocational/Professional Development Education,Critical Point,scaling,NSDL_SetSpec_439869,Undergraduate (Upper Division),universality,Informal Education,Landau theory,Mean-Field Theory,oai:nsdl.org:2200/20090204193829174T,Renormalization Group,Graduate/Professional,Physics

    Language:

    English

    Access Privileges:

    Public - Available to anyone

    License Deed:

    Creative Commons Attribution Non-Commercial Share Alike

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