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We investigate the finite temperature fermionic condensate and the expectation values of the charge and current densities for a massive fermion field in a spacetime background with an arbitrary number of toroidally compactified spatial…

High Energy Physics - Theory · Physics 2014-04-23 S. Bellucci , E. R. Bezerra de Mello , A. A. Saharian

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

Thermodynamic properties of the electron-positron plasma (or gas) at high and very high temperatures are investigated. To achieve this goal we have derived a number of analytical formulas for the Fermi-Dirac distribution functions (or…

Plasma Physics · Physics 2023-01-16 Alexei M. Frolov

The behavior of a decoupled ideal Fermi gas in a homogeneously expanding three-dimensional volume is investigated, starting from an equilibrium spectrum. In case the gas is massless and/or completely degenerate, the spectrum of the gas can…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-16 Andreas Trautner

For the Fermi gas filling the space inside a cubic cavity of a fixed volume, at arbitrary temperatures and number of particles, the thermodynamic characteristics are calculated, namely: entropy, thermodynamic potential, energy, pressure,…

Quantum Physics · Physics 2024-08-08 Yu. M. Poluektov , A. A. Soroka

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

Statistical Mechanics · Physics 2021-05-13 David C. Johnston

We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a d-dimensional harmonic oscillator potential. For d=2 and 3,…

Statistical Mechanics · Physics 2009-11-07 Brandon P. van Zyl , Rajat K. Bhaduri , Akira Suzuki , Matthias Brack

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

We study the equilibrium properties of a dipolar Fermi gas at finite temperatures. We introduce a variational ansatz for the phase-space distribution function that can describe the deformation in both real and momentum space. The effect of…

Other Condensed Matter · Physics 2015-05-18 Yuki Endo , Takahiko Miyakawa , Tetsuro Nikuni

An effective quasiparticle description of the thermodynamics of deconfined matter, compatible with both finite-temperature lattice data and the perturbative limit, is generalized to finite chemical potential. Within this approach, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Peshier , B. Kampfer , G. Soff

We consider Dirac fermions moving in a plane with a static homogeneous magnetic field orthogonal to the plane. We calculate the effective action at finite temperature and density. The magnetization is derived and it is shown that the…

Condensed Matter · Physics 2011-07-19 Jens O. Andersen , Tor Haugset

Recently a formulation of overlap fermions at finite density based on an analytic continuation of the sign function was proposed. We study this proposal by analyzing the energy and number densities for free fermions as a function of the…

High Energy Physics - Lattice · Physics 2009-04-16 Christof Gattringer , Ludovit Liptak

In the large fermion mass limit of QCD at finite density the structure of the partition function greatly simplifies and can be studied analytically. We show that, contrary to general wisdom, the phase of the Dirac determinant is relevant…

High Energy Physics - Lattice · Physics 2009-10-31 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

Thermodynamics of the unitary Fermi gas at finite temperature is investigated from the perspective of the expansion over epsilon=4-d with d being the dimensionality of space. We show that the thermodynamics is dominated by bosonic…

Other Condensed Matter · Physics 2009-02-05 Yusuke Nishida

We derive the density functional for the ground-state energy of a two-dimensional, spin-polarized gas of neutral fermionic atoms with magnetic-dipole interaction, in the Thomas-Fermi-Dirac approximation. For many atoms in a harmonic trap,…

Quantum Gases · Physics 2015-05-19 Bess Fang , Berthold-Georg Englert

We study the finite temperature free energy and fermion number for Dirac fields in a one-dimensional spatial segment, under local boundary conditions compatible with the presence of a spectral asymmetry. We discuss in detail the…

High Energy Physics - Theory · Physics 2009-11-11 C. G. Beneventano , E. M. Santangelo

We study a recently proposed formulation of overlap fermions at finite density. In particular we compute the energy density as a function of the chemical potential and the temperature. It is shown that overlap fermions with chemical…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Ludovit Liptak

We develop a theoretical method going beyond the contact-interaction approximation frequently used in mean-field theories of many-fermion systems, based on the low-energy T-matrix of the pair potential to rigorously define the effective…

Quantum Gases · Physics 2011-11-03 Stefano Simonucci , Giovanni Garberoglio , Simone Taioli

The effects of low dimensionality on the thermodynamics of a Fermi gas trapped by isotropic power law potentials are analyzed. Particular attention is given to different characteristic temperatures that emerge, at low dimensionality, in the…

Quantum Gases · Physics 2017-01-31 Francisco J. Sevilla
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