Phase transition
From Encyclopedia of Mathematics - Reading time: 1 min
A physical phenomenon that occurs in macroscopic systems and consists in the following. In certain equilibrium states of the system an arbitrary small influence leads to a sudden change of its properties: the system passes from one homogeneous phase to another. Mathematically, a phase transition is treated as a sudden change of the structure and properties of the so-called Gibbs distributions describing the equilibrium states of the system, for arbitrary small changes of the parameters determining the equilibrium (cf. Gibbs distribution; Gibbs statistical aggregate).
References[edit]
| [1] | L.D. Landau, E.M. Lifshitz, "Statistical physics" , Pergamon (1980) (Translated from Russian) |
| [2] | Ya.G. Sinai, "Theory of phase transitions" , Pergamon (1982) (Translated from Russian) |
Comments[edit]
References[edit]
| [a1] | H.L. Frisch (ed.) J.L. Lebowitz (ed.) , The equilibrium theory of classical fluids , Benjamin (1964) |
| [a2] | H.E. Stanley, "Introduction to phase transitions and critical phenomena" , Pergamon (1971) |
How to Cite This Entry: Phase transition (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Phase_transition4 views | ↧ Download this article as ZWI file
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