A geometric one-fluid model of superfluid helium-4

Authors: Cetin, Nadine Suzan, Pavelka, Michal, Varga, Emil

Subject Terms: Condensed Matter - Superconductivity, Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/2503.10680

Internal tensorial variables and a heat transport equation with inertial, thermal viscosity and vorticity terms

Authors: Restuccia, Liliana, Jou, David, Pavelka, Michal

Subject Terms: Condensed Matter - Mesoscale and Nanoscale Physics

Access URL: http://arxiv.org/abs/2409.06380

Approaches to conservative Smoothed Particle Hydrodynamics with entropy

Authors: Pavelka, Michal, Klika, Vaclav, Kincl, Ondrej

Subject Terms: Physics - Fluid Dynamics, Mathematical Physics

Access URL: http://arxiv.org/abs/2406.14229

Nonequilibrium model for compressible two-phase two-pressure flows with surface tension

Authors: Peshkov, Ilya, Romenski, Evgeniy, Pavelka, Michal

Subject Terms: Physics - Fluid Dynamics, Mathematical Physics

Access URL: http://arxiv.org/abs/2312.09324

Conformal and Contact Kinetic Dynamics and Their Geometrization

Authors: Esen, Oğul, Gezici, Ayten, Grmela, Miroslav, Gümral, Hasan, Pavelka, Michal, Sütlü, Serkan

Subject Terms: Mathematical Physics, 37K30, 70H05

Access URL: http://arxiv.org/abs/2307.06080

Direct Poisson neural networks: Learning non-symplectic mechanical systems

Authors: Šípka, Martin, Pavelka, Michal, Esen, Oğul, Grmela, Miroslav

Subject Terms: Mathematical Physics, Physics - Computational Physics, Physics - Data Analysis, Statistics and Probability

Access URL: http://arxiv.org/abs/2305.05540

Conformal and contact kinetic dynamics and their geometrization

Authors: Esen, Oğul ^{a, b}, Gezici, Ayten ^{a, ⁎}, Grmela, Miroslav ^c, Gümral, Hasan ^d, Pavelka, Michal ^e, Sütlü, Serkan ^a

Source: In Journal of Geometry and Physics March 2025 209

Multiscale heat transport with inertia and thermal vortices

Authors: Pavelka, Michal, Restuccia, Liliana, Jou, David

Subject Terms: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/2209.08557

Unified description of fluids and solids in Smoothed Particle Hydrodynamics

Authors: Kincl, Ondřej, Peshkov, Ilya, Pavelka, Michal, Klika, Václav

Subject Terms: Physics - Fluid Dynamics, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2207.00063

A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model

Authors: Vágner, Petr, Pavelka, Michal, Fuhrmann, Jürgen, Klika, Václav

Subject Terms: Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/2206.14930

On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective

Authors: Esen, Ogul, Grmela, Miroslav, Pavelka, Michal

Subject Terms: Condensed Matter - Statistical Mechanics, Mathematical Physics, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2205.10392

On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective

Authors: Esen, Ogul, Grmela, Miroslav, Pavelka, Michal

Subject Terms: Condensed Matter - Statistical Mechanics, Mathematical Physics, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2205.10315

Globally time-reversible fluid simulations with smoothed particle hydrodynamics

Authors: Kincl, Ondrej, Pavelka, Michal

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Symplectic Geometry, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2204.08884

Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures

Authors: Sykora, Martin, Pavelka, Michal, Peshkov, Ilya, Minakowski, Piotr, Klika, Vaclav, Romenski, Evgeniy

Subject Terms: Physics - Fluid Dynamics, Mathematics - Symplectic Geometry

Access URL: http://arxiv.org/abs/2201.04460

Learning the GENERIC evolution

Authors: Šípka, Martin, Pavelka, Michal

Subject Terms: Physics - Computational Physics

Access URL: http://arxiv.org/abs/2109.12659

Fluctuating Multiscale Mass Action Law

Authors: Ajji, Abdellah, Chaouki, Jamal, Grmela, Miroslav, Klika, Vaclav, Pavelka, Michal

Subject Terms: Physics - Chemical Physics

Access URL: http://arxiv.org/abs/2103.11004

A case study of non-Fourier heat conduction using Internal Variables and GENERIC

Authors: Szücs, Mátyás, Pavelka, Michal, Kovács, Róbert, Fülöp, Tamás, Ván, Péter, Grmela, Miroslav

Source: Journal of Non-Equilibrium Thermodynamics, 47/1, 31-60, 2022

Subject Terms: Physics - Classical Physics

Access URL: http://arxiv.org/abs/2103.03326

On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models

Authors: Pelech, Petr, Tuma, Karel, Pavelka, Michal, Sipka, Martin, Sykora, Martin

Subject Terms: Condensed Matter - Statistical Mechanics, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2010.06903

On the thermodynamic derivation of Nernst relation

Authors: del Olmo, Diego, Pavelka, Michal, Kosek, Juraj

Subject Terms: Physics - Chemical Physics

Access URL: http://arxiv.org/abs/1912.07724

Gradient and GENERIC evolution towards reduced dynamics

Authors: Grmela, Miroslav, Klika, Vaclav, Pavelka, Michal

Subject Terms: Mathematical Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/1912.07693