GENERIC is an abstract equation collecting themathematical structure guaranteeing agreement of its solutionswith results of certain basic experimental observations (conservations ofmass and energy and the approach to equilibrium atwhich the classical equilibrium thermodynamics applies). In the unifying framework provided byGENERICwe present recent developments and open challenges in the fundame...

GENERIC is an abstract equation collecting themathematical structure guaranteeing agreement of its solutionswith results of certain basic experimental observations (conservations ofmass and energy and the approach to equilibrium atwhich the classical equilibrium thermodynamics applies). In the unifying framework provided byGENERICwe present recent developments and open challenges in the fundame...

On the basis of the Bethe ansatz solution of the one-dimensional Kondo model with electronic interaction, the thermodynamics equilibrium of the system at finite temperature is studied in terms of the strategy of Yang and Yang. The string hypothesis in the spin rapidity is discussed extensively. The thermodynamics quantities, such as the specific heat and the magnetic susceptibility, are obtained.

We discuss the existence, stability and classical thermodynamics of four-dimensional, spherically symmetric black hole solutions of the Einstein equations with a conformally coupled scalar field. We review the solutions existing in the literature with zero, positive and negative cosmological constant. We also outline new results on the thermodynamics of these black holes when the cosmological c...

Thermodynamics second law and ω = −1 crossing(s) in interacting holographic dark energy model Abstract By the assumption that the thermodynamics second law is valid, we study the possibility of ω = −1 crossing in an interacting holographic dark energy model. We show that this crossing is possible provided we choose appropriate parameters for the system.

We discuss the nature of phase transitions in self-gravitating systems. We show the connexion between the binary star model of Padmanabhan, the thermodynamics of classical point mass stars and the thermodynamics of the self-gravitating Fermi gas at non-zero temperature. We also briefly discuss the influence of rotation on the thermodynamical stability of self-gravitating systems.

We test the functionality of FEniCS on the challenge of computational thermodynamics in the form of the EG2 finite element solver of the Euler equations expressing conservation of mass, momentum and energy. We show that computational solutions satisfy a 2nd Law formulated in terms of kinetic energy, internal (heat) energy, work and shock/turbulent dissipation, without reference to entropy. We s...

A generally relativistic theory of thermodynamics is developed, based on four main physical principles: heat is a local form of energy, therefore described by a thermal energy tensor; conservation of mass, equivalent to conservation of heat, or the local first law; entropy is a local current; and non-destruction of entropy, or the local second law. A fluid is defined by the thermostatic energy ...

TIME-REVERSAL AND SYMMETRY IN THE THERMODYNAMICS OF MATERIALS WITH MEMORY by Morton E. Gurtin We here study, within the framework of the thermodynamics of materials with memory, the notion of invariance under timereversal. In particular, we establish conditions that are both necessary and sufficient for the infinitesmal entropy production to display such invariance.

3 TGD based variant of Beauregard’s model and generalization of thermodynamics 3 3.1 Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3.2 What happens in quantum jump? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3.3 Modification of thermodynamics to take into account negentropic entanglement . . . . 4 3.4 The analog of Carnot cy...