In this study, the balance equation for local entropy density defined on each partition is obtained by the decomposition of the time-evolution operator for local entropy density, on the level of the master equation, by using symmetric and antisymmetric properties for the inversion of partition, density pairs and a given drift velocity. The resultant equation includes the following terms: convec...

Fluid flow, heat transfer and entropy generation characteristics of micro-pipes are investigated computationally by considering the simultaneous effects of pipe diameter, wall heat flux and Reynolds number in detail. Variable fluid property continuity, Navier-Stokes and energy equations are numerically handled for wide ranges of pipe diameter (d = 0.50–1.00 mm), wall heat flux ( ' ' q = 1000–20...

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by " infinitesi-mally localized measurements ". This should be a natural characterization of local equilibrium, but the problem is to give a precise meaning to the qualitative phrase " infinitesimally localized measurements ". A solution is suggested in form of a Local Equilibrium Condition (LEC), ...

Several decomposition formats exist for image data: principal components, independent components, non-negative components, etc. These decompositions have been applied mainly to natural image data. In this paper, we study the above decompositions for hand-written devanagari character data. We propose a new measure – spatial entropy – for characterizing datasets. Datasets with high spatial entrop...

We propose a thermodynamic interpretation of transfer entropy near equilibrium, using a specialised Boltzmann’s principle. The approach relates conditional probabilities to the probabilities of the corresponding state transitions. This in turn characterises transfer entropy as a difference of two entropy rates: the rate for a resultant transition and another rate for a possibly irreversible tra...

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum systems. We study this quantity after an interaction quench in lattice hard-core bosons and spinless fermions, and after a local chemical potential quench in a sys...