Critical Exponent - Scaling Relations

Scaling Relations

Thus, the exponents above and below the critical temperature, respectively, have identical values. This is understandable, since the respective scaling functions, originally defined for, should become identical if extrapolated to

Critical exponents are denoted by Greek letters. They fall into universality classes and obey the scaling relations

These equations imply that there are only two independent exponents, e.g., and . All this follows from the theory of the renormalization group.

Read more about this topic:  Critical Exponent

Famous quotes containing the word relations:

    She has problems with separation; he has trouble with unity—problems that make themselves felt in our relationships with our children just as they do in our relations with each other. She pulls for connection; he pushes for separateness. She tends to feel shut out; he tends to feel overwhelmed and intruded upon. It’s one of the reasons why she turns so eagerly to children—especially when they’re very young.
    Lillian Breslow Rubin (20th century)