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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 123, Number 1, Pages 94–106
DOI: https://doi.org/10.4213/tmf589
(Mi tmf589)
 

Stochastic model of phase transition and metastability

A. I. Kirillovab, V. Yu. Mamakinb

a Moscow Power Engineering Institute (Technical University)
b Independent University of Moscow
References:
Abstract: The evolution of a system with phase transition is simulated by a Markov process whose transition probabilities depend on a parameter. The change of the stationary distribution of the Markov process with a change of this parameter is interpreted as a phase transition of the system from one thermodynamic equilibrium state to another. Calculations and computer experiments are performed for condensation of a vapor. The sample paths of the corresponding Markov process have parts where the radius of condensed drops is approximately constant. These parts are interpreted as metastable states. Two metastable states occur, initial (gaseous steam) and intermediate (fog). The probability distributions of the drop radii in the metastable states are estimated.
Received: 27.12.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 123, Issue 1, Pages 494–503
DOI: https://doi.org/10.1007/BF02551056
Bibliographic databases:
Language: Russian
Citation: A. I. Kirillov, V. Yu. Mamakin, “Stochastic model of phase transition and metastability”, TMF, 123:1 (2000), 94–106; Theoret. and Math. Phys., 123:1 (2000), 494–503
Citation in format AMSBIB
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\paper Stochastic model of phase transition and metastability
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\vol 123
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\pages 94--106
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 1
\pages 494--503
\crossref{https://doi.org/10.1007/BF02551056}
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