Gentlemen's Club of Non-equilibrium Thermodynamics

Sessions

Fundamental concepts in non-equilibrium thermodynamics (14.10.2014-MP)
What is non-equilibrium thermodynamics. Different levels of description. Kac ring. Reversibility/irreversibility. Entropy.
Reversible dynamics (21.10.2014-MP)
General form of GENERIC - the reversible part. Poisson brackets. Reversibility. Degeneracy. Poisson bracket in Hamiltonian dynamics.
seminar cancelled due to public holiday (28.10.2014)
Irreversible dynamics (4.11.2014 - MP)
Irreversible evolution within GENERIC. Dissipation potential and dissipative bracket. Heat equation.
Classical hydrodynamics (11.11.2014 - MP)
Reversible evolution. Poisson bracket. Energetic and entropic formulation.
Classical hydrodynamics (18.11.2014 - VK)
Irreversible evolution in classical hydrodynamics. Navier-Stokes-Fourier.
Ir/reversibility revisited (25.11.2014 - MP)
Finishing the irreversible part of Navier-Stokes-Fourier. Maxwell-Cattaneo's equation. Checking ir/reversibility of Fourier, Navier-Stokes-Fourier and Maxwell-Cattaneo. GENERIC near equilibrium. Onsager-Casimir reciprocal relations.
Boltzmann equation (2.12.2014 - MP)
GENERIC formulation. Ir/revesibility. Appetizer for differential geometry.
Geometric formulation (9.12.2014 - MP)
Vector fields in differential geometry. Is the reversible part of Boltzmann equation really reversible? To show it we need a geometric formulation of ir/revesibility because the distribution function has no parity. How to derive the hydrodynamic Poisson bracket. Poisson bracket for mixtures of fluids. Maybe polymeric fluids.
Poisson bracket (16.12.2014 - MP)
Derivation of the hydrodynamic Poisson from the Boltzmann Poisson bracket, derivation of the Boltzmann Poisson bracket from the Liouville Poisson bracket. Derivation of the Poisson bracket of binary mixtures.
Summary (6.1.2015 - MP)
Summary of the seminar. A recipe for preparing a GENERIC model.

Gentlemen's club 2013/2014.
MP = Michal Pavelka, VK = Václav Klika

Some nice books and papers

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
Öttinger, H. C., Constraints in nonequilibrium thermodynamics: General framework and application to multicomponent diffusion, J. Chem. Phys (2009), 130(11)
Salmon, R., Hamiltonian fluid mechanics, Ann. Rev. Fluid Mech. (1988), 20
Fecko, M., Differential Geometry and Lie Groups for Physicists, CUP 2006
Lebon, Jou, Casas-Vázquez: Extended Non-Equilibrium Thermodynamics
Öttinger: Beyond Equilibrium Thermodynamics
Callen: Thermodynamics and an Introduction to Thermostatistics
Atkins, de Paula: Atkins' Physical Chemistry

	Gentlemen's Club of Non-equilibrium Thermodynamics
	The seminar was held in autumn semester 2014

Gentlemen's Club of Non-equilibrium Thermodynamics

Sessions

Fundamental concepts in non-equilibrium thermodynamics (14.10.2014-MP)

Reversible dynamics (21.10.2014-MP)

seminar cancelled due to public holiday (28.10.2014)

Irreversible dynamics (4.11.2014 - MP)

Classical hydrodynamics (11.11.2014 - MP)

Classical hydrodynamics (18.11.2014 - VK)

Ir/reversibility revisited (25.11.2014 - MP)

Boltzmann equation (2.12.2014 - MP)

Geometric formulation (9.12.2014 - MP)

Poisson bracket (16.12.2014 - MP)

Summary (6.1.2015 - MP)

Some nice books and papers