We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible processes TIP, Extended irreversible th...

a good understanding of adsorption equilibrium and thermodynamics is required to design and operate an adsorption process. this study was conducted to assess the adsorption percentage of pb2+ ions as a function of contact time, solution ph and temperatures, and adsorbent dosage through a series of batch experiments. the methods including zeta potentials, specific surface area measurements and t...

Entanglement entropy is a statistical entropy measuring information loss due to coarse-graining corresponding to a spatial division of a system. In this paper we construct a thermodynamics (entanglement thermodynamics) which includes the entanglement entropy as the entropy variable, for a massless scalar field in Minkowski, Schwarzschild and Reissner-Nordström spacetimes to understand the stati...

The Second Law of Thermodynamics, Evolution, and Probability Does evolution violate the second law of thermodynamics? Creationists say yes. This article describes in detail why the creationists are wrong. Attributing False Attributes to Thermodynamics Creationists have created a 'voodoo' thermodynamics based solely on metaphors in order to convince those not familiar with real thermodynamics th...

The coexistence of several schools in non-equilibrium thermodynamics is a reality.At the beginning of the 21st century, the thermodynamics of systems far from. However, it turns out that many nonequilibrium phenomena can be described.An alternate evolutionary hypothesis is discussed: non-equilibrium. Literature on non-equilibrium thermodynamics and its relationship to evolutionary.The online ve...

The birth, raise, development and fortunes of a fundamental theory in thermodynamics, the axiomatic thermodynamics, a creation of Constantin Carathéodory, is thoroughly presented together with a summary of Carathéodory’s biography. Axiomatic thermodynamics is centered around some interesting properties of Pfaffian differential equations, which are here introduced and used for some well-known ca...

isotherm equation is one of the important scientific bases for adsorbent selection. there are different isotherms that do not account for an adsorbate, different chemisorption geometries on the nanoporous surface. it is interesting to introduce a general isotherm, which considers different chemisorption geometries of an adsorbate on nanoporous surfaces. in this study, an isotherm for non-dissoci...