Abstract
We begin with the static scaling laws which have the objective of reducing the number of independent critical exponents to a couple, and the proposal is to achieve this by focussing on ever smaller neighborhoods of the critical point. The basic ideas of scaling are to be traced back to [Essam and Fisher, 1963, Widom, 1965, Kadanoff, 1966, Fisher, 1967a]; their justification was found later in the renormalization program we discuss in the next section. In a nutshell, the idea was that in the neighborhood of the critical point, the thermodynamic functions can be assumed to be generalized homogenous functions; see e.g. [Stanley, 1971, Fisher, 1983, Cardy, 1996].
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© 2002 Springer-Verlag Berlin Heidelberg
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Emch, G.G., Liu, C. (2002). Scaling and Renormalization. In: The Logic of Thermostatistical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04886-3_13
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DOI: https://doi.org/10.1007/978-3-662-04886-3_13
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