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Ajji, A., Chaouki, J., Esen, O., Grmela, M., Klika, V., & Pavelka, M. (2023). On geometry of multiscale mass action law and its fluctuations. Physica D-Nonlinear Phenomena, 445, 133642 (22 pages). External link
Chinesta, F., Cueto, E., Grmela, M., Moya, B., Pavelka, M., & Ipka, M. (2020, July). Learning Physics from Data: A Thermodynamic Interpretation [Paper]. Workshop on Joint Structures and Common Foundations of Statistical Physics, Information Geometry and Inference for Learning (SPIGL 2020), Les Houches, France. External link
Esen, O., Gezici, A., Grmela, M., Gümral, H., Pavelka, M., & Sütlü, S. (2024). Conformal and Contact Kinetic Dynamics and Their Geometrization. Journal of Geometry and Physics, 209, 105369 (26 pages). External link
Esen, O., Grmela, M., & Pavelka, M. (2022). On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective. Journal of Mathematical Physics, 63(12), 122902 (32 pages). External link
Esen, O., Grmela, M., & Pavelka, M. (2022). On the role of geometry in statistical mechanics and thermodynamics. II. Thermodynamic perspective. Journal of Mathematical Physics, 63(12), 123305 (22 pages). External link
Esen, O. , Grmela, M., Gümral, H., & Pavelka, M. (2019). Lifts of symmetric tensors: Fluids, plasma, and grad hierarchy. Entropy, 21(9). Available
Grmela, M., Klika, V., & Pavelka, M. (2020). Dynamic and renormalization-group extensions of the Landau theory of critical phenomena. Entropy, 22(9), 978 (19 pages). Available
Grmela, M., Klika, V., & Pavelka, M. (2020). Gradient and generic time evolution towards reduced dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 378(2170), 22 pages. External link
Grmela, M., Pavelka, M., Klika, V., Cao, B.-Y., & Bendian, N. (2019). Entropy and Entropy Production in Multiscale Dynamics. Journal of Non-Equilibrium Thermodynamics, 44(3), 217-233. External link
Grmela, M., & Pavelka, M. (2018). Landau damping in the multiscale Vlasov theory. Kinetic and Related Models, 11(3), 521-545. External link
Grmela, M., Hong, L., Jou, D., Lebon, G., & Pavelka, M. (2017). Hamiltonian and Godunov structures of the Grad hierarchy. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 95(3), 19 pages. External link
Grmela, M., Klika, V., & Pavelka, M. (2015). Reductions and extensions in mesoscopic dynamics. Physical Review E, 92(3), 032111 (20 pages). External link
Klika, V., Pavelka, M., Vágner, P., & Grmela, M. (2019). Dynamic maximum entropy reduction. Entropy, 21(7), 715 (27 pages). Available
Pavelka, M., Klika, V., & Grmela, M. (2020). Generalization of the Dynamical Lack-of-Fit Reduction from GENERIC to GENERIC. Journal of Statistical Physics, 181(2), 19-52. External link
Pavelka, M., & Grmela, M. (2019). Braun-Le Chatelier Principle In Dissipative Thermodynamics. Atti Accademia Peloritana Dei Pericolanti-Classe Di Scienze Fisiche Matematiche E Naturali, 97, A22 (10 pages). External link
Pavelka, M., Klika, V., & Grmela, M. (2019). Ehrenfest regularization of Hamiltonian systems. Physica D: Nonlinear Phenomena, 399, 193-210. External link
Pavelka, M., Klika, V., & Grmela, M. (2018). Thermodynamic explanation of Landau damping by reduction to hydrodynamics. Entropy, 20(6). Available
Peshkov, I., Pavelka, M., Romenski, E., & Grmela, M. (2018). Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations. Continuum Mechanics and Thermodynamics, 30(6), 1343-1378. External link
Pavelka, M., Klika, V., & Grmela, M. (2018). Multiscale thermo-dynamics: introduction to GENERIC. External link
Pavelka, M., Klika, V., Esen, O. , & Grmela, M. (2016). A hierarchy of Poisson brackets in non-equilibrium thermodynamics. Physica D: Nonlinear Phenomena, 335, 54-69. External link
Pavelka, M., Klika, V., & Grmela, M. (2014). Time reversal in nonequilibrium thermodynamics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(6). External link
Šípka, M., Pavelka, M., Esen, O., & Grmela, M. (2023). Direct Poisson neural networks: learning non-symplectic mechanical systems. Journal of Physics A, 56(49), 495201 (25 pages). Available
Szücs, M., Pavelka, M., Kovács, R., Fülöp, T., Van, P., & Grmela, M. (2021). A case study of non-Fourier heat conduction using internal variables and GENERIC. Journal of Non-Equilibrium Thermodynamics, 47(1), 31-60. External link
Sýkora, M., Pavelka, M., La Mantia, M., Jou, D., & Grmela, M. (2021). On the relations between large-scale models of superfluid helium-4. Physics of Fluids, 33(12), 17 pages. External link
Ván, P., Pavelka, M., & Grmela, M. (2017). Extra mass flux in fluid mechanics. Journal of Non-Equilibrium Thermodynamics, 42(2), 133-151. External link