Zobrazeno 1 - 10
of 318
pro vyhledávání: '"Grmela, Miroslav"'
Autor:
Grmela, Miroslav
Multiscale thermodynamics is a theory of relations among levels of description. Energy and entropy are its two main ingredients. Their roles in the time evolution describing approach of a level (starting level) to another level involving less details
Externí odkaz:
http://arxiv.org/abs/2402.14831
Autor:
Grmela, Miroslav
Approach of mesoscopic state variables to time independent equilibrium sates (zero law of thermodynamics) gives birth to the classical equilibrium thermodynamics. Approach of fluxes and forces to fixed points (equilibrium fluxes and forces) that driv
Externí odkaz:
http://arxiv.org/abs/2310.15370
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 with the conformal Hamiltonian dynamics of particles and lift it to th
Externí odkaz:
http://arxiv.org/abs/2307.06080
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 body). Mechanical systems have Hamiltonian evolution, which consists of t
Externí odkaz:
http://arxiv.org/abs/2305.05540
Autor:
Grmela, Miroslav
Boltzmann kinetic equation is put into the form of an abstract time evolution equation representing links connecting autonomous mesoscopic dynamical theories involving varying amount of details. In the chronological order we present results that led
Externí odkaz:
http://arxiv.org/abs/2302.13164
The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium states. Similarly, a lift of the GENERIC structure to iterated cotangent
Externí odkaz:
http://arxiv.org/abs/2205.10392
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 Hamiltonian mechanics and gradient dynamics, is a framework unifying a vas
Externí odkaz:
http://arxiv.org/abs/2205.10315
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, inertial effects also play a role in chemical kinetics. Therefore, the
Externí odkaz:
http://arxiv.org/abs/2103.11004
Publikováno v:
Journal of Non-Equilibrium Thermodynamics, 47/1, 31-60, 2022
Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and the framework of General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC), we demonstrate that, in heat conducti
Externí odkaz:
http://arxiv.org/abs/2103.03326
Autor:
Grmela, Miroslav
Multiscale thermodynamics is a theory of relations among levels of investigation of complex systems. It includes the classical equilibrium thermodynamics as a special case but it is applicable to both static and time evolving processes in externally
Externí odkaz:
http://arxiv.org/abs/2011.01989