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TMF, 2013 Volume 177, Number 1, Pages 126–136 (Mi tmf8449)

Phase transitions and peculiarities of the growth of nuclei of the new phase of a substance

V. N. Borodikhin

Omsk State University, Omsk, Russia

Abstract: We describe phase transitions using a one-dimensional fractional differential kinetic equation of the Fokker–Planck type. We find a general solution describing the growth of nuclei during phase transitions in a fractal medium.

Keywords: phase transition of a fractional order, growth of nuclei, fractional differential Fokker–Planck equation.

Received: 02.12.2012
Revised: 07.04.2013

DOI: 10.4213/tmf8449


 English version:
Theoretical and Mathematical Physics, 2013, 177:1, 1390–1399

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© Steklov Math. Inst. of RAS, 2024