The piston problem is investigated in the case where the length of the cylinder is infinite (on both sides) and the ratio m/M is a very small parameter, where m is the mass of one particle of the gaz and M is the mass of the piston. Introducing initial conditions such that the stochastic motion of the piston remains in the average at the origin (no drift), it is shown that the time evolution of...

In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be invariant. particular, mass, entropy, angular momentum, electric charge, and their respective chemical potentials, temperature, horizon velocity, potential, which appear in the laws of black hole thermodynamics, usual construction invariance intensive quantities is subtle; here, we remedy this provide a de...

Lindsay in an article titled, “Entropy consumption and values in physical science,” (Am. Sci. 1959, 47, 678–696) proposed a Thermodynamic Imperative similar to Kant’s Ethical Categorical Imperative. In this paper, after describing the concept of ethical imperative as elaborated by Kant, we provide a brief discussion of the role of science and its relationship to the classical thermodynamics and...

The laws of thermodynamics apply equally well to quantum systems as to classical systems, and because of this, quantum effects do not change the fundamental thermodynamic efficiency of isothermal refrigerators or engines. We show that, despite this fact, quantum mechanics permits measurement-based feedback control protocols that are more thermodynamically efficient than their classical counterp...

For more than 140 years Maxwell’s demon has intrigued, enlightened, mystified, frustrated, and challenged physicists in unique and interesting ways. Maxwell’s original conception was brilliant and insightful, but over the years numerous different versions of Maxwell’s demon have been presented. Most versions have been answered with reasonable physical arguments, with each of these answers (appa...

Although its practical efficiency is unquestionable, the thermodynamic tool presents a slight inconsistency from the theoretical point of view. After exposing arguments, which explain this opinion, a suggestion is put forward to solve the problem. It consists of linking the mass-energy relation ±∆mc2 to the laws of thermodynamics. This combination results in a clarification of the theory and op...

Recent theoretical progress in nonequilibrium thermodynamics, linking the physical principle of Maximum Entropy Production (“MEP”) to the information-theoretical “MaxEnt” principle of scientific inference, together with conjectures from theoretical physics that there may be no fundamental causal laws but only probabilities for physical processes, and from evolutionary theory that biological sys...

The main concepts of general relativistic thermodynamics and general relativistic statistical mechanics are reviewed. The main building block of the proper relativistic extension of the classical thermodynamics laws is the four-temperature vector β, which plays a major role in the quantum framework and defines a very convenient hydrodynamic frame. The general relativistic thermodynamic equilibr...

Abstract: After recalling the conceptual difficulty that is encountered in thermodynamic theory, the aim of this paper is to show that solving the problem requires a close correlation between the classical laws of thermodynamics and the Einstein mass-energy relation. The resulting idea is that the condition of evolution within a system, usually interpreted as an increase in entropy, must be ext...

The existing thermodynamics of the cosmological horizon in de Sitter spacetime is established in the micro-canonical ensemble, while thermodynamics of black hole horizons are established in the canonical ensemble. Generally in the ordinary thermodynamics and statistical mechanics, both of the micro-canonical and canonical ensembles yield the same equation of state for any thermodynamic system. ...