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The various thermodynamic functions dependence on degree of energy band occupation and temperature was studied. The one-band tight binding approximation for the electron energy spectrum was used. The Fermi energy, density of states,…

Statistical Mechanics · Physics 2010-10-11 B. V. Karpenko , A. V. Kuznetzov , V. V. Dyakin

The physical interpretation of the functioning of the adaptive immune system, which has been thoroughly characterized on genetic and molecular levels, provides a unique opportunity to define an adaptive self-organizing biological system in…

Molecular Networks · Quantitative Biology 2023-05-19 Jozsef Prechl

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

Statistical Mechanics · Physics 2015-08-10 Lina Gu , Jiulin Du

In this paper the thermodynamical parameters of a condensed Boson gas are calculated from the partial derivative of the grand potential. In particular, the analytical expressions for some important parameters, such as the condensed…

Statistical Mechanics · Physics 2009-09-28 Ahmed S. Hassan , Shemi S. M. Soliman , Emad H. Soliman

Assuming a classical statistical system of point particles the fundamental equations of continuum thermomechanics (continuity equation, equation of motion, and energy equation) shall be derived exactly. The macroscopic state functions…

Statistical Mechanics · Physics 2010-06-03 Walter Noll

The pivotal point of the paper is to discuss the behavior of temperature, pressure, energy density as a function of volume along with determination of caloric EoS from following two model: $w(z)=w_{0}+w_{1}\ln(1+z)$ & $…

General Physics · Physics 2015-03-09 Sridip Pal , Ritabrata Biswas

Aqueous electrolyte solutions under the influence of a temperature gradient can generate thermoelectric fields, which arise from different responses of the positive and negative charges. This is related to the thermo diffusion effect which…

Soft Condensed Matter · Physics 2022-06-23 André Luiz Sehnem , Antônio Martins Figueiredo Neto

An analytical procedure for calculating the critical temperature and estimating the size of critical region for a cell fluid model is developed. Our numerical calculations are illustrated by the case of the Morse potential parameters…

Statistical Mechanics · Physics 2023-09-26 I. V. Pylyuk , M. P. Kozlovskii , O. A. Dobush

Motivated by a long-standing debate concerning the nature and interrelations of surface-tension variables in fluid membranes, we reformulate the thermodynamics of a membrane vesicle as a generic two-dimensional finite system enclosing a…

Soft Condensed Matter · Physics 2012-02-03 Haim Diamant

The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and particle density moments are calculated. Results are obtained…

High Energy Physics - Theory · Physics 2007-05-23 J. Cleymans , K. Redlich , L. Turko

We discuss thermal and active fluctuations of a compressible bilayer vesicle by using the results of hydrodynamic theory for vesicles. Coupled Langevin equations for the membrane deformation and the density fields are employed to calculate…

Soft Condensed Matter · Physics 2018-05-09 T. V. Sachin Krishnan , Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions.…

Strongly Correlated Electrons · Physics 2024-10-04 Jan Vorberger , Tobias Dornheim , Maximilian P. Böhme , Zhandos Moldabekov , Panagiotis Tolias

The thermodynamics with medium effects expressed by the dispersion relation of the temperature and density dependent particle mass is studied. Many previous treatments have been reviewed. A new thermodynamical treatment based on the…

Nuclear Theory · Physics 2007-05-23 Shaoyu Yin , Ru-Keng Su

A self-consistent approach based on finite temperature Green's functions is used to investigate thermodynamic properties of nuclear matter. The internal energy is derived from the diagrams associated to the interaction energy. Pressure and…

Nuclear Theory · Physics 2008-11-26 V. Soma , P. Bozek

We present a discussion of the linear thermoelectric response of an interacting electron gas in a quantizing magnetic field. Boundary currents can carry a significant fraction of the net current passing through the system. We derive general…

Condensed Matter · Physics 2009-10-28 N. R. Cooper , B. I. Halperin , I. M. Ruzin

The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The…

Chemical Physics · Physics 2016-06-01 Aurora Pribram-Jones , Kieron Burke

Following a cell-method due to van Kampen for the calculation of a coarse-grained free energy functional for the van der Waals gas, we compute a corresponding entropy functional from microscopic principles. This entropy functional is one of…

Statistical Mechanics · Physics 2016-08-16 Pep Español

We derive a new formulation to calculate the excess chemical potential of a fraction of $N_1$ particles interacting with $N_2$ particles of a different species. The excess chemical potential is calculated numerically from first principles…

Astrophysics · Physics 2008-11-26 Christophe Winisdoerffer , Gilles Chabrier , Gilles Zérah

When a gas in an externally imposed potential field is compressed, temperature gradients appear. This has been called the piezothermal effect. It is possible to analytically calculate the time-dependent behavior of the piezothermal effect…

Fluid Dynamics · Physics 2020-07-15 E. J. Kolmes , V. I. Geyko , N. J. Fisch