Statistical mechanics of stochastic growth phenomena

Oleg Alekseev, Mark Mineev-Weinstein

    Результат исследований: Научные публикации в периодических изданияхстатья

    1 цитирование (Scopus)

    Выдержка

    We develop statistical mechanics for stochastic growth processes and apply it to Laplacian growth by using its remarkable connection with a random matrix theory. The Laplacian growth equation is obtained from the variation principle and describes adiabatic (quasistatic) thermodynamic processes in the two-dimensional Dyson gas. By using Einstein's theory of thermodynamic fluctuations we consider transitional probabilities between thermodynamic states, which are in a one-to-one correspondence with simply connected domains occupied by gas. Transitions between these domains are described by the stochastic Laplacian growth equation, while the transitional probabilities coincide with a free-particle propagator on an infinite-dimensional complex manifold with a Kähler metric.

    Язык оригиналаанглийский
    Номер статьи010103
    ЖурналPhysical Review E
    Том96
    Номер выпуска1
    DOI
    СостояниеОпубликовано - 20 июл 2017

    Отпечаток

    statistical mechanics
    Statistical Mechanics
    Thermodynamics
    thermodynamics
    Random Matrix Theory
    Growth Process
    Complex Manifolds
    One to one correspondence
    Propagator
    Albert Einstein
    Stochastic Processes
    matrix theory
    gases
    Fluctuations
    Metric
    propagation
    Gas

    Предметные области Scopus

    • Статистическая и нелинейная физика
    • Теория вероятности и статистика
    • Физика конденсатов

    Цитировать

    Alekseev, Oleg ; Mineev-Weinstein, Mark. / Statistical mechanics of stochastic growth phenomena. В: Physical Review E. 2017 ; Том 96, № 1.
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    Statistical mechanics of stochastic growth phenomena. / Alekseev, Oleg; Mineev-Weinstein, Mark.

    В: Physical Review E, Том 96, № 1, 010103, 20.07.2017.

    Результат исследований: Научные публикации в периодических изданияхстатья

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