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A detailed discussion of the coherent and incoherent dynamic structure function of the free Fermi gas at finite temperature is presented. Their behavior and evolution with the momentum transfer and the temperature is analyzed, while…

Soft Condensed Matter · Physics 2009-10-31 F. Mazzanti , A. Polls

We consider the thermodynamic properties of a rotating gas of fermions. We begin by constructing the thermodynamic potential $\Phi$ and its associated current $\phi^\mu$ within the grand canonical ensemble of a macroscopic rigidly rotating…

High Energy Physics - Theory · Physics 2025-09-23 Victor E. Ambrus , Aleksandar Gecić

The application of Riemannian geometry to the analysis of the equilibrium thermodynamics in Quantum Chromodynamics (QCD) at finite temperature and baryon density gives a new method to evaluate the critical temperature, $T_c$, of the…

Nuclear Theory · Physics 2020-12-16 Paolo Castorina , Mauro Imbrosciano , Daniele Lanteri

We study the thermostatistics of q-deformed bosons and fermions obeying the symmetric algebra and show that it can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are…

Statistical Mechanics · Physics 2009-11-07 A. Lavagno , P. Narayana Swamy

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit.…

Statistical Mechanics · Physics 2008-01-21 M. Benarous , H. Chachou Samet

We investigate the coherence properties of an atomic beam evaporatively cooled in a magnetic guide, assuming thermal equilibrium in the quantum degenerate regime. The gas experiences two-dimensional, transverse Bose-Einstein condensation…

Statistical Mechanics · Physics 2015-06-24 Yvan Castin , Ralph Dum , Emmanuel Mandonnet , Anna Minguzzi , Iacopo Carusotto

We set up recursion relations for the partition function and the ground-state occupancy for a fixed number of non-interacting bosons confined in a square box potential and determine the temperature dependence of the specific heat and the…

Statistical Mechanics · Physics 2009-11-13 Konstantin Glaum , Hagen Kleinert , Axel Pelster

Thermodynamic and electronic properties are obtained for a lattice-gas model fluid with self-consistent, partial, occupation of its sites; the self consistency consists in obtaining ionic configurations from grand-canonical Monte Carlo…

Statistical Mechanics · Physics 2009-10-30 M. Reinaldo-Falagan , P. Tarazona , E. Chacon , J. P. Hernandez

We apply variational principles in the context of geometrothermodynamics. The thermodynamic phase space ${\cal T}$ and the space of equilibrium states ${\cal E}$ turn out to be described by Riemannian metrics which are invariant with…

High Energy Physics - Theory · Physics 2009-09-09 H. Quevedo , A. Sanchez , A. Vazquez

The influence of spatial dimensionality and particle-antiparticle pair production on the thermodynamic properties of the relativistic Fermi gas, at finite chemical potential, is studied. Resembling a kind of phase transition, qualitatively…

Statistical Mechanics · Physics 2014-07-29 Francisco J. Sevilla , Omar Piña

We introduce the idea of weakly coherent collisional models, where the elements of an environment interacting with a system of interest are prepared in states that are approximately thermal, but have an amount of coherence proportional to a…

This work extends the seminal work of Gottfried on the two-body quantum physics of particles interacting through a delta-shell potential to many-body physics by studying a system of non-relativistic particles when the thermal De-Broglie…

Nuclear Theory · Physics 2013-11-13 Sergey Postnikov , Madappa Prakash

We study the thermodynamic and statistical properties of a gas governed by a multifractional modified dispersion relation of the form $\omega^{2}=k^{2}+4E_{*}^{-1/2}k^{5/2}$, where $E_{*}$ sets the characteristic scale of the…

Statistical Mechanics · Physics 2026-05-19 A. A. Araújo Filho

We consider a gas of fermions with non-zero spin at temperature $T$ and chemical potential $\mu$. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs…

Mathematical Physics · Physics 2015-06-26 Robert Seiringer

We study the roles of the dynamical high order perturbation and statistically non-linear infrared fluctuation/correlation in the virial equation of state for the Fermi gas in the unitary limit. Incorporating the quantum level crossing…

Statistical Mechanics · Physics 2009-08-26 Ji-sheng Chen , Jia-rong Li , Yan-ping Wang , Xiang-jun Xia

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

A generalized entropy arising in the context of superstatistics is obtained for an ideal gas. The curvature scalar associated to the thermodynamic space generated by this modified entropy is calculated using two formalisms of the geometric…

Statistical Mechanics · Physics 2018-04-18 J. L. López , O. Obregón , J. Torres-Arenas

The model under consideration is a two-dimensional two-component plasma, stable against collapse for the dimensionless coupling constant $\beta<2$. The combination of a technique of renormalized Mayer expansion with the mapping onto the…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , I. Travěnec

The hot and dense hadronic medium formed during the heavy-ion collisions at the Relativistic Heavy Ion Collider and Large Hadron Collider energies can show thermoelectric effects in the presence of temperature gradients and nonzero baryon…

High Energy Physics - Phenomenology · Physics 2025-04-30 Kamaljeet Singh , Kshitish Kumar Pradhan , Dushmanta Sahu , Raghunath Sahoo

We show that the chemical potential of a one-dimensional (1D) interacting Bose gas exhibits a non-monotonic temperature dependence which is peculiar of superfluids. The effect is a direct consequence of the phononic nature of the excitation…

Quantum Gases · Physics 2017-07-12 Giulia De Rosi , Grigori E. Astrakharchik , Sandro Stringari
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