This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is sum Hamiltonian mechanics and gradient dynamics, framework unifying vast range models in non-equilibrium thermodynamics, it has unclear structure due to diverse origins dynamics. The difference can be overcome by cotangent lifts lea...

This paper presents the results of a theoretical study of the kinetics of atomic and ionic transport via interstitial defects for a particular model in which interstitial pairing occurs. These are compatible with the phenomenological equations suggested by the thermodynamics of irreversible processes. The Onsager reciprocal relation is verified and the forms of the phenomenological coefficients...

We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function for the total entropy production satisfies Seifert’s integral and detailed fluctuation theorems over finite time trajectories. PACS. 05.40.-a Fluctuation pheno...

In this paper we define the content of information in an image and show how it can be computed by taking into account different levels of resolution, in the framework of information theory and the thermodynamics of irreversible transformations. The results thus obtained will eventually be exploited to derive a mechanism for active exploration of visual space suitable to perform a dynamic coupli...

Measurements of the transport properties of cellulose membranes for the mixtures methanolwater and formamide-water are reported. The measured approach of the mole fractions of the nonelectrolyte to its equilibrium value are interpreted in the framework of linear irreversible thermodynamics in a novel way. The permeabilities of the membranes of the different substances are discussed in terms of ...

If a measurement process is regarded as an irreversible process, then by Second law of thermodynamics the entropy should increase after any measurement process. By the same spirit a quantum system undergoing repeated measurement should show strong irreversibility leading to entropy production. On the contrary we show that in quantum Zeno effect setting the entropy of a quantum system decreases ...

It is reviewed what can be considered as the present research trends in what regards to the construction of an ensemble formalism – Gibbs’ style – for the case of far-from-equilibrium systems. The main questions involved are presented accompanied with brief discussions. The construction of a nonequilibrium statistical operator is described and its applications commented, and, particularly, it i...

This first part analyses the mechanical and statistical basis of time reversibility concepts which have played a pivotal role in constructing fundamental theories in irreversible thermodynamics and quantum physics. It is concluded that these concepts cannot be derived from classical mechanics and statistics, but seem to be more like axioms, which claim to have foundations in classical mechanics...

The diffusive motion of foreign particles dispersed in a premelting solid is analyzed within the framework of irreversible thermodynamics. We determine the mass diffusion coefficient, thermal diffusion coefficient and Soret coefficient of the particles in the dilute limit, and find good agreement with experimental data. In contrast to liquid suspensions, the unique nature of premelting solids a...

Construction of the Slow Invariant Manifold (SIM) for a reactive system is coming to be realized as the linchpin in a rational method of reduced kinetics. Here a method of constructing a finite dimensional SIM based on identifying critical points and connecting them with trajectories is shown for a spatially homogeneous reactive system. The relation between this analysis and classical as well a...