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Обзоры актуальных проблем


Фрактальная топология и странная кинетика: от теории перколяции к проблемам космической электродинамики

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Институт космических исследований РАН, ул. Профсоюзная 84/32, Москва, 117997, Российская Федерация

Цель обзора — познакомить читателя с рядом нестандартных идей, отражающих новые парадигмы современной теории турбулентности. Речь идет как о применении топологических методов при описании структурных свойств турбулентного состояния, так и о переходе к кинетическим уравнениям в дробных производных в исследованиях, касающихся микроскопических характеристик среды. Центральное место в обзоре занимает так называемая постоянная протекания C ≈ 1,327... — универсальная константа, описывающая топологию неравновесных (квази)стационарных состояний в сложных нелинейных динамических системах, допускающих самоорганизованное критическое поведение. Большое внимание уделено процессам формирования степенных спектров мощности в турбулентных средах, а также решению ряда актуальных проблем, стоящих перед современной космической электродинамикой: построению самосогласованной модели турбулентного токового слоя, анализу явления магнитосферной суббури, обсуждению вопросов, связанных с образованием и эволюцией крупномасштабных магнитных полей в фотосфере Солнца и межпланетном пространстве.

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English fulltext is available at DOI: 10.1070/PU2004v047n08ABEH001705
PACS: 05.40.−a, 05.45.Df, 05.65.+b, 94.30.−d (все)
DOI: 10.3367/UFNr.0174.200408a.0809
URL: https://ufn.ru/ru/articles/2004/8/a/
000225645400001
Цитата: Зеленый Л М, Милованов А В "Фрактальная топология и странная кинетика: от теории перколяции к проблемам космической электродинамики" УФН 174 809–852 (2004)
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English citation: Zelenyi L M, Milovanov A V “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” Phys. Usp. 47 749–788 (2004); DOI: 10.1070/PU2004v047n08ABEH001705

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