Thermodynamic equations ≈ Thermodynamic equations
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Black hole chemistry: thermodynamics with Lambda Open
We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach…
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Holographic thermodynamics requires a chemical potential for color Open
The thermodynamic Euler equation for high-energy states of large-$N$ gauge\ntheories is derived from the dependence of the extensive quantities on the\nnumber of colors $N$. This Euler equation relates the energy of the state to\nthe tempe…
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Thermodynamics of an Attractive 2D Fermi Gas Open
Thermodynamic properties of matter are conveniently expressed as functional relations between variables known as equations of state. Here we experimentally determine the compressibility, density, and pressure equations of state for an attr…
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Thermodynamics of Sea Ice Phase Composition Revisited Open
Pure ice, brine and solid minerals are the main contributors to sea ice mass. Constitutional changes with salinity and temperature exert a fundamental control on sea ice physical, chemical, and biological properties. However, current estim…
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Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity Open
On the basis of horizon thermodynamics, we study the thermodynamic stability and $P-V$ criticality of topological black holes constructed in Ho\v{r}ava-Lifshitz (HL) gravity without the detailed-balance condition (with general $\epsilon$).…
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Approximate solutions of Schrodinger equation and thermodynamic properties with Hua potential Open
The study investigates the thermodynamic properties with Hua potential. First, the energy of the system is derived by solving the Schrodinger equation using the Nikiforov-Uvarov (NU) method. The vibration partition function and other therm…
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Ice-Crystal Nucleation in Water: Thermodynamic Driving Force and Surface Tension. Part I: Theoretical Foundation Open
A recently developed thermodynamic theory for the determination of the driving force of crystallization and the crystal–melt surface tension is applied to the ice-water system employing the new Thermodynamic Equation of Seawater TEOS-10. T…
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Thermodynamics, contact, and density profiles of the repulsive Gaudin-Yang model Open
We address the problem of computing the thermodynamic properties of the repulsive one-dimensional two-component Fermi gas with contact interaction, also known as the Gaudin-Yang model. Using a specific lattice embedding and the quantum tra…
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Real Gas Thermodynamics: and the isentropic behavior of substances Open
A generalized isentropic gas model is derived following earlier work by Kouremenos et al. in the 1980s, by replacing the traditional adiabatic exponent γ by the real exponents γPv, γTv, and γPT, describing the isentropic pressure-volume, t…
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Thermodynamics of Evaporation from the Ocean Surface Open
Adopted by the Intergovernmental Oceanographic Commission (IOC) of UNESCO in 2010 and the International Union of Geodesy and Geophysics (IUGG) in 2011, the Thermodynamic Equation of Seawater 2010 (TEOS-10) is the current geophysical standa…
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Thermodynamically consistent versions of approximations used in\n modelling moist air Open
Some existing approaches to modeling the thermodynamics of moist air make\napproximations that break $\\textit{thermodynamic consistency}$, such that the\nresulting thermodynamics do not obey the 1st and 2nd laws or have other\ninconsisten…
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Entropy and the Second Law of Thermodynamics—The Nonequilibrium Perspective Open
An alternative to the Carnot-Clausius approach for introducing entropy and the second law of thermodynamics is outlined that establishes entropy as a nonequilibrium property from the onset. Five simple observations lead to entropy for none…
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Thermodynamics of Noncommutative Quantum Kerr Black Holes Open
The thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, the equations of state and thermodynamic response functions are expli…
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Thermodynamically consistent semi-compressible fluids: a variational perspective Open
This paper presents (Lagrangian) variational formulations for single and multicomponent semi-compressible fluids with both reversible (entropy-conserving) and irreversible (entropy-generating) processes. Semi-compressible fluids are useful…
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About the lift of irreversible thermodynamic systems to the Thermodynamic Phase Space Open
In this paper, we analyze the different lift of the dynamics of irreversible thermodynamic systems from the Legendre submanifold associated with the thermodynamic properties of the physical system to the full Thermodynamic Phase Space. Fir…
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A Symmetric Form of the Clausius Statement of the Second Law of Thermodynamics Open
Bridgman once reflected on thermodynamics that the laws of thermodynamics were formulated in their present form by the great founders of thermodynamics, Kelvin and Clausius, before all the essential physical facts were in, and there has be…
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Short Introduction to Relations Between Thermodynamic Quantities Open
Thermodynamic quantities, such as pressure and internal energy, and their derivatives, are used in many applications. Depending on application, a natural set of quantities related to one of four thermodynamic potentials are typically used.…
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A variational derivation of the nonequilibrium thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation Open
Irreversible processes play a major role in the description and prediction of atmospheric dynamics. In this paper, we present a variational derivation of the evolution equations for a moist atmosphere with rain process and subject to the i…
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Thermodynamic framework for a generalized heat transport equation Open
In this paper, a generalized heat transport equation including relaxational, nonlocal and nonlinear effects is provided, which contains diverse previous phenomenological models as particular cases. The aim of the present work is to establi…
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Ice-Crystal Nucleation in Water: Thermodynamic Driving Force and Surface Tension Open
A recently developed thermodynamic theory for the determination of the driving force of crystallization and the crystal–melt surface tension is applied to the ice–water system employing the new Thermodynamic Equation of Seawate…
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Use of Legendre Transforms in Chemical Thermodynamics Open
The fundamental equation of thermodynamics for the internal energy U may include terms for various types of work and involves only differentials of extensive variables. The fundamental equation for U yields intensive variables as partial d…
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Hamiltonian Thermodynamics Open
It is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the thermodynamic approach. In this paper, we …
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Thermodynamic identities and thermodynamic consistency of Equation of States Open
We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal and sufficient set of relations. We apply the proposed approa…
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Validity of path thermodynamics in reactive systems Open
Path thermodynamic formulation of nonequilibrium reactive systems is considered. It is shown through simple practical examples that this approach can lead to results that contradict well established thermodynamic properties of such systems…
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A comprehensive review of geometrical thermodynamics: From fluctuations to black holes Open
This paper presents a comprehensive review of geometrical thermodynamics, which employs geometric concepts to study the thermodynamic properties of physical systems. The review covers key topics such as thermodynamic fluctuation theory, pr…
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Connection between the Principles of Thermodynamics and the Conservation Laws: Physical Meaning of the Principles of Thermodynamics Open
It has been shown that the first principle of thermodynamics follows from the conservation laws for energy and linear momentum. And the second principle of thermodynamics follows from the first principle of thermodynamics under realization…
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The Important Thermal Characteristics of Matter and Their Computations with the Use of the Gibbs Potentials Open
In this paper, the important thermal characteristics of matter (they describe thermodynamic systems in a state of thermodynamic equilibrium) were calculated. There are the following important thermodynamic functions: the system internal en…
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A thermodynamic potential of seawater in terms of Absolute Salinity, Conservative Temperature, and in situ pressure Open
A thermodynamic potential is derived for seawater as a function of Conservative Temperature, Absolute Salinity and pressure. From this thermodynamic potential, all the equilibrium thermodynamic properties of seawater can be found, just as …
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Concepts and fundamental equations in Thermodynamics with Finite Speed Open
This paper presents the basic concepts and fundamental equations of the Thermodynamics with Finite Speed (TFS) resulted by the systematically study of the thermal reciprocating machine in relation with the piston finite speed and thermal m…
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Generalized Maxwell equal area law and black holes in complex free energy Open
Maxwell equal area law is an important and traditional analytical tool in thermodynamic phase transition, especially in the calculation of gas-liquid phase transition, which reconciles the theoretical calculation with the experimental resu…