Kinetics of Collisionless Continuous Medium
2001, Volume 6, Number 3, pp. 235-251
Author(s):
Kozlov V. V.
In this article we develop Poincaré ideas about a heat balance of ideal gas considered as a collisionless continuous medium. We obtain the theorems on diffusion in nondegenerate completely integrable systems. As a corollary we show that for any initial distribution the gas will be eventually irreversibly and uniformly distributed over all volume, although every particle during this process approaches arbitrarily close to the initial position indefinitely many times. However, such individual returnability is not uniform, which results in diffusion in a reversible and conservative system. Balancing of pressure and internal energy of ideal gas is proved, the formulas for limit values of these quantities are given and the classical law for ideal gas in a heat balance is deduced. It is shown that the increase of entropy of gas under the adiabatic extension follows from the law of motion of a collisionless continuous medium.
Citation:
Kozlov V. V., Kinetics of Collisionless Continuous Medium, Regular and Chaotic Dynamics,
2001, Volume 6, Number 3,
pp. 235-251
✖
Мы используем cookie-файлы и сервис Яндекс.Метрики для анализа работы сайта, статистики и улучшения его работы. Продолжая использовать данный сайт, Вы соглашаетесь с условиями Пользовательского соглашения и условиями использования сервиса Яндекс.Метрика, а также выражаете своё согласие на использование cookie-файлов и на обработку своих персональных данных в соответствии с Политикой конфиденциальности. Вы можете запретить обработку cookies в настройках браузера.
We use cookies and Yandex.Metrica service to analyze the usage of our web-site and improve its performance. By continuing to use this website, you agree to the terms of the User Agreement and the terms of Yandex.Metrica service, and give your consent to the Cookies Policy and to the processing of your personal data in accordance with the Privacy Policy. You may deactivate cookies in your browser settings.