8 papers
How the arrow of time emerges from Hamiltonian systems by our incomplete knowledge
Katerina Mlada, Michal Pavelka, Vaclav Klika
How does the arrow of time (dissipative, irreversible behavior) emerge from time-reversible Hamiltonian mechanics? Two ingredients are needed: the underlying system must be ergodic…
Contact Geometry of Relativistic Particle Motion
Begum Atesli, Ogul Esen, Michal Pavelka
We introduce a new geometric framework for relativistic particle dynamics based on contact geometry and suitable for treating dissipative processes like particle decay. The dynamic…
Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics
Miroslav Grmela, Michal Pavelka
In this paper, we review and compare some geometric frameworks for dissipation in non-equilibrium thermodynamics. We start with a brief overview of classical irreversible thermodyn…
On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm AteÅli, OÄul Esen, Miroslav Grmela +1
This manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gau…
Classical and Multiscale Non-equilibrium Thermodynamics
Miroslav Grmela, Michal Pavelka
Classical and multiscale non-equilibrium thermodynamics have different histories and different objectives. In this Note we explain the differences and review some topics in which t…
A geometric one-fluid model of superfluid helium-4
Nadine Suzan Cetin, Michal Pavelka, Emil Varga
A standard description of superfluid helium-4 is based on the concept of two components (superfluid and normal), which leads to the so called two-fluid models. However, as there ar…