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Энтропия Ð²Ñ‹ÑÐ¾ÐºÐ¾Ñ‡Ð°ÑÑ‚Ð¾Ñ‚Ð½Ñ‹Ñ Ð²Ð¸Ð±Ñ€Ð°Ñ†Ð¸Ð¹

магистерская диссертация
descriptionPublicationkeyboard_double_arrow_right Other literature type 01 Jan 2017 Russian Publisher:Санкт-Петербургский политехнический университет Петра Великого

doi: 10.18720/spbpu/2/v18-681

Энтропия Ð²Ñ‹ÑÐ¾ÐºÐ¾Ñ‡Ð°ÑÑ‚Ð¾Ñ‚Ð½Ñ‹Ñ Ð²Ð¸Ð±Ñ€Ð°Ñ†Ð¸Ð¹

Abstract

Ð’ настоящей работе для определения направления распространения Ð²Ñ‹ÑÐ¾ÐºÐ¾Ñ‡Ð°ÑÑ‚Ð¾Ñ‚Ð½Ñ‹Ñ Ð²Ð¸Ð±Ñ€Ð°Ñ†Ð¸Ð¹ предложено понятие энтропии. Введены аналогии для Ð½ÐµÐºÐ¾Ñ‚Ð¾Ñ€Ñ‹Ñ Ð¿Ð¾Ð½ÑÑ‚Ð¸Ð¹ и законов термодинамики. Ð’ частности, показано, что поток вибрационной энергии в ÑÐ»Ð¾Ð¶Ð½Ñ‹Ñ ÑÐ¸ÑÑ‚ÐµÐ¼Ð°Ñ Ð¸ ее распределение между подструктурами подчиняется уравнению, являющимся Ð¼ÐµÑ Ð°Ð½Ð¸Ñ‡ÐµÑÐºÐ¸Ð¼ аналогом дискретной формы обобщенного закона Фурье. Введено понятие статистической энтропии и проверено выполнение Ð¼ÐµÑ Ð°Ð½Ð¸Ñ‡ÐµÑÐºÐ¾Ð³Ð¾ аналога второго начала термодинамики. Выводится выражение для тепловой энтропии и проверяется путем решения Ð°Ð½Ð°Ð»Ð¾Ð³Ð¸Ñ‡Ð½Ñ‹Ñ Ð·Ð°Ð´Ð°Ñ‡: задачи теплопроводности и задачи о вибрационном потоке. Ð’ последней рассмотрена слабосвязанная одномерная система, состоящая из Ð´Ð²ÑƒÑ ÑÑ‚ÐµÑ€Ð¶Ð½ÐµÐ¹. Слабая связь между стержнями, совершающими продольные колебания, моделировалась линейной пружиной малой жесткости.

Keywords

Энтропия, Вибрация, Энергия

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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