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...

Abstract Even for large nonequilibrium systems, local equilibrium subsystems in the presence of strong inhomogeneities may be very small. Such situations typically arise either gradients temperature, velocity or pressure, transition zones between different phases. For small thermodynamic Euler equation macroscopic thermodynamics does not hold. One less implies one additional degree freedom, whi...

We describe recent progress towards deriving the Fundamental Laws of thermodynamics (the 0, 1, and 2 Law) from nonequilibrium quantum statistical mechanics in simple, yet physically relevant models. Along the way, we clarify some basic thermodynamic notions and discuss various reversible and irreversible thermodynamic processes from the point of view of quantum statistical mechanics.

All current formulations of nonequilibrium thermodynamics open chemical reaction networks rely on the assumption non-interacting species. We develop a general theory that accounts for interactions between species within mean-field approach using activity coefficients. Thermodynamic consistency requires rate equations do not obey standard mass-action kinetics but account with concentration depen...

Thermodynamics provides a unified perspective of thermodynamic properties various substances. To formulate thermodynamics in the language sophisticated mathematics, is described by variety differential geometries, including contact and symplectic geometries. Meanwhile affine geometry branch compatible with information geometry, where known to be thermodynamics. By combining above, it expected t...