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Course, academic year 2018/2019
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GENERIC - non-equilibrium thermodynamics - NMMO463
Title in English: GENERIC - nerovnovážná termodynamika
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: winter
E-Credits: 4
Hours per week, examination: winter s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: RNDr. Michal Pavelka, Ph.D.
Class: M Mgr. MOD
M Mgr. MOD > Volitelné
Annotation -
Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)
Hamilton canonical equations, Liouville equation, Boltzmann equation, hydrodynamics, theory of mixtures, dynamics of solids, plasticity, viscoelasticity, chemical reactions, diffusion, electromagnetism and many other useful theories can be seen as particular realizations of the General Equation for Non-equilibrium Reversible-Irreversible Coupling (GENERIC), where reversible Hamiltonian evolution is combined with irreversible gradient dynamics. We will explore this modern and powerful theory of non-equilibrium thermodynamics.
Course completion requirements - Czech
Last update: RNDr. Michal Pavelka, Ph.D. (09.10.2017)

Předmět je zakončen zkouškou. Požadavky odpovídají tomu, co bylo probráno během semestru.

Nutnou podmínkou pro zkoušku je zápočet. Ten bude udělen za vyřešení domácích úkolů a aktivní účast na cvičení. Nelze opakovat.

Literature -
Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)

Grmela, Öttinger, Dynamics and thermodynamics of complex fluids. I.

Development of a general formalism, Phys. Rev. E (1997), vol. 56(6)

Öttinger, Grmela, Dynamics and thermodynamics of complex fluids. II.

Illustrations of a general formalism Phys. Rev. E (1997), vol. 56(6)

Jou, Casas-Vázquez, Lebon: Understanding Non-equilibrium Thermodynamics

Syllabus -
Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)

Levels of description. Classical mechanics - Hamilton canonical

equations and Liouville equation. Equilibrium thermodynamics: Entropy,

energy, fundamental thermodynamic relation, stability, Legendre

transformations. Principle of maximum entropy (MaxEnt), equilibrium

statistical mechanics and ideal gases. Hamiltonian evolution, Poisson

brackets, projection of Poisson brackets, Hamiltonian structure of

kinetic theory and hydrodynamics. Irreversible gradient dynamics,

reversibility and irreversibility, the GENERIC framework. Irreversible

dynamics in hydrodynamics and mixtures, chemical kinetics. Hamiltonian

dynamics of mixtures and solids, viscoelasticity and plasticity.

 
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