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Mathematical Aspects of Thermodynamics and Statistical Mechanicsучебный курс
- Автор: Сальникова Т.В.
- Год создания: 2014
- Организация: МГУ имени М.В. Ломоносова
- Курс на иностранном языке
- Описание: Programme of the course MATHEMATICAL ASPECTS OF THERMODYNAMICS AND STATISTICAL MECHANICS Thermodynamical system: external parameters, internal energy, condition’s equations, generalized forces. An ideal gas. The first principle of thermodynamics. An adiabatic process. The second principle of thermodynamics. An entropy. Joule low. An internal energy and entropy of the ideal gas. The problem of confusion of gases. Poisson’s adiabatic curve and the Carnot cycle. Characteristic functions. The ideal gas as a system of points in a cube. Reduction to a quasi periodic motion. Weyl theorem of the uniform distribution. Zermelo paradox. Maxwell distribution. Probability measures of the dynamical systems. Liouville equation. Hamiltonian equations and the canonical Gibbs distribution. Passage to the thermodynamics. An application to the ideal gas. Birkhoff ergodic theorem. Reactions of connections and condition’s equations. Poincaré theorem of the non-integrability. Gibbs hypothesis of the thermodynamic equilibrium. Deduction of the Gibbs distribution.
- Добавил в систему: Сальникова Татьяна Владимировна