Everything that is not prohibited is permissible. So, what is prohibited in the course of chemical reactions, heat transfer and other dissipative processes? Is it possible to “overshoot” the equilibrium, and if yes, then how far? Thermodynamically allowed and prohibited trajectories of processes are discussed by the example of effects of equilibrium encircling. The complete theory of thermodyna...

In this research, commercial nano-clay (NC) was modified with TiO2 functional groups and characterized via XRD and FTIR methods. The modified nano-clay was applied as an adsorbent for the removal of cadmium from wastewater solutions. The effects of the operating parameters including initial pH, cadmium concentration and adsorbent concentration were analyzed by the Taguchi method. The...

We investigate the thermodynamic properties of Hamiltonian mean-field(HMF) model as a prototypical long-range system by means of the non-extensive thermostatistics. Especially, the quasi-equilibrium state as extremum state of the generalized Tsallis entropy is studied and its thermodynamic stability is analyzed. Based on these analysis, the connection with quasi-stationary behaviors found in th...

An analysis of the Gibbs conditions of stable thermodynamic equilibrium, based on the constrained minimization of the four fundamental thermodynamic potentials, is presented with a particular attention given to the previously unexplored connections between the secondorder variations of thermodynamic potentials. These connections are used to establish the convexity properties of all potentials i...

We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...

We use replica exchange Monte Carlo simulations to measure the equilibrium equation of state of the disordered fluid state for a binary hard sphere mixture up to very large densities where standard Monte Carlo simulations do not easily reach thermal equilibrium. For the moderate system sizes we use (up to N = 100), we find no sign of a pressure discontinuity near the location of dynamic glass s...

We review a coherent mesoscopic presentation of thermodynamics and fluctuations far from and near equilibrium, applicable to chemical reactions, energy transfer and transport processes, and electrochemical systems. Both uniform and spatially dependent systems are considered. The focus is on processes leading to and in non-equilibrium stationary states; on systems with multiple stationary states...

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis’ non-extensive entropy. Previous papers (Taruya & Sakagami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press (condmat/0204315)) have revealed that the extremum-state of Tsallis entropy characterized by the so-called stellar polytrope has consistent thermodynamic structur...

We have studied scattering states and thermodynamic properties of electron-hole systems. Starting from the constituent electrons and holes and Coulomb interactions, we have used quantum Monte Carlo simulation techniques to sample properties of wavefunctions and thermal density matrices. We have studied three types of systems: (1) the scattering of two excitons, with full-quantum treatment of th...