We revisit the construction of first-order spin hydrodynamics and find that constitution relations receive corrections from cross effects resulting spin-orbit coupling. Starting a routine entropy analysis, we show how to identify new transport coefficients second law thermodynamics. Interestingly, conventional coefficient heat conductivity $\kappa$ is bounded below by product coefficients, whic...

The maximum entropy principle (MEP) is one of the most prominent methods to investigate and model complex systems. Despite its popularity, standard form MEP can only generate Boltzmann-Gibbs distributions, which are ill-suited for many scenarios interest. As a principled approach extend reach MEP, this paper revisits foundations in information geometry shows how curved statistical manifolds nat...

Starting from metric of general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermo-dynamical entropies are studied. First, by means of the " brick wall " model in which the Dirichlet condition is replaced by a scattering ansatz for the field functions at the horizon and with the Pauli-Villars regularization scheme, an expression f...

A type of reversible cellular automaton is proposed, which can be used to discuss the question of irreversibility in statistical mechanics. It lives on an infinite lattice in space-time, whose nodes are points with integer coordinates, either all even or all odd, and whose edges join all pairs of nearest-neighbour nodes. The states of the edges in the immediate future of each node are related t...

nowadays, water supply for sustainable development is one of the most important concerns and challenges in most countries of the world. due to determination of groundwater potential zones are one of the important tools in the conservation, management and utilization of water resources. thus, the present study aimed to prioritize the effective factors on groundwater potential and its susceptibil...

*Correspondence: Rudolf A. Treumann, International Space Science Institute, Hallerstrasse 6, CH-3012 Bern, Switzerland e-mail: [email protected] We propose a generalization of Gibbs’ statistical mechanics into the domain of non-negligible phase space correlations. Derived are the probability distribution and entropy as a generalized ensemble average, replacing Gibbs-Boltzmann-Shannon’s entro...

Starting from metric of the general non-extreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the " brick wall " model in which the Dirichlet condition is replaced by a scattering ansatz for the field functions at the horizon and with Pauli-Villars regularization scheme, an expression f...

We present a new approach to inferring a probability distribution which is incompletely specified by a number of linear constraints. We argue that the currently most popular approach of entropy maximization depends on a “constraints as knowledge” interpretation of the constraints, and that a different “constraints as data” perspective leads to a completely different type of inference procedures...