84 citations · 357 across the 41 of their papers we have counts for
42 papers
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 Ateşli, Oğul 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…
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…
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…
Internal tensorial variables and a heat transport equation with inertial, thermal viscosity and vorticity terms
Liliana Restuccia, David Jou, Michal Pavelka
Phonon hydrodynamics describes the motions of heat carriers (phonons) at sub-continuum scales: diffusive, ballistic, viscous, and vortical. In a previous paper, these behaviours we…
Approaches to conservative Smoothed Particle Hydrodynamics with entropy
Michal Pavelka, Vaclav Klika, Ondrej Kincl
Smoothed particle hydrodynamics (SPH) is typically used for barotropic fluids, where the pressure depends only on the local mass density. Here, we show how to incorporate the entro…
Nonequilibrium model for compressible two-phase two-pressure flows with surface tension
Ilya Peshkov, Evgeniy Romenski, Michal Pavelka
In continuum thermodynamics, models of two-phase mixtures typically obey the condition of pressure equilibrium across interfaces between the phases. We propose a new non-equilibriu…
Conformal and Contact Kinetic Dynamics and Their Geometrization
Oğul Esen, Ayten Gezici, Miroslav Grmela +3
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start…
Direct Poisson neural networks: Learning non-symplectic mechanical systems
Martin Šípka, Michal Pavelka, Oğul Esen +1
In this paper, we present neural networks learning mechanical systems that are both symplectic (for instance particle mechanics) and non-symplectic (for instance rotating rigid bod…
Multiscale heat transport with inertia and thermal vortices
Michal Pavelka, Liliana Restuccia, David Jou
In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polari…
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
Ondřej Kincl, Ilya Peshkov, Michal Pavelka +1
Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate soli…
A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model
Petr Vágner, Michal Pavelka, Jürgen Fuhrmann +1
Despite the fact that the theory of mixtures has been part of non-equilibrium thermodynamics and engineering for a long time, it is far from complete. While it is well formulated a…
On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium st…
On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the sum of Hami…
Globally time-reversible fluid simulations with smoothed particle hydrodynamics
Ondrej Kincl, Michal Pavelka
This paper describes an energy-preserving and globally time-reversible code for weakly compressible smoothed particle hydrodynamics (SPH). We do not add any additional dynamics to…
Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures
Martin Sykora, Michal Pavelka, Ilya Peshkov +3
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) frame…
Learning the GENERIC evolution
Martin Šípka, Michal Pavelka
We propose a novel approach for learning the evolution that employs differentiable neural networks to approximate the full GENERIC structure. Instead of manually choosing the fitte…
On the determination of vortex ring vorticity using Lagrangian particles
O. Outrata, M. Pavelka, J. Hron +3
Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent…
Fluctuating Multiscale Mass Action Law
Abdellah Ajji, Jamal Chaouki, Miroslav Grmela +2
The classical mass action law in chemical kinetics is put into the context of multiscale thermodynamics.Despite the purely dissipative character of the classical mass action law, i…
A case study of non-Fourier heat conduction using Internal Variables and GENERIC
Mátyás Szücs, Michal Pavelka, Róbert Kovács +3
Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and the framework of General Equation for the Non-Equilibrium Reversible-…
On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models
Petr Pelech, Karel Tuma, Michal Pavelka +2
Within the framework of natural configurations developed by Rajagopal and Srinivasa, evolution within continuum thermodynamics is formulated as evolution of a natural configuration…
On the thermodynamic derivation of Nernst relation
Diego del Olmo, Michal Pavelka, Juraj Kosek
What is the maximum voltage of a cell with a given electrochemical reaction? The answer to this question has been given more than a century ago by Walther Nernst and bears his name…