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We investigate the low-temperature thermodynamics of the unitary Fermi gas by introducing a model based on the zero-temperature spectra of both bosonic collective modes and fermonic single-particle excitations. We calculate the Helmholtz…

Quantum Gases · Physics 2011-07-08 Luca Salasnich

We have analytically explored thermodynamics of free Bose and Fermi gases for the entire range of temperature, and have extended the same for harmonically trapped cases. We have obtained approximate chemical potentials of the quantum gases…

Quantum Gases · Physics 2012-09-07 Shyamal Biswas , Debnarayan Jana

We use the recently derived density of states for a particle confined to a spherical well in three dimensional fuzzy space to compute the thermodynamics of a gas of non-interacting fermions confined to such a well. Special emphasis is…

High Energy Physics - Theory · Physics 2016-01-20 F. G. Scholtz , J. N. Kriel , H. W. Groenewald

We study orbital magnetism of a degenerate electron gas in a number of two-dimensional integrable systems, within linear response theory. There are three relevant energy scales: typical level spacing, the energy related to the inverse time…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 E. Gurevich , B. Shapiro

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

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764(1997)] where granular particles are treated as spinless…

Statistical Mechanics · Physics 2009-09-29 Holly M. Kokstein , Paul V. Quinn

We calculate the entropy in a trapped, resonantly interacting Fermi gas as a function of temperature for a wide range of magnetic fields between the BCS and Bose-Einstein condensation endpoints. This provides a basis for the important…

Superconductivity · Physics 2011-09-13 Qijin Chen , Jelena Stajic , K. Levin

Weakly interacting Fermi gases exhibit rich collective dynamics in spin-dependent potentials, arising from correlations between spin degrees of freedom and conserved single atom energies, offering broad prospects for simulating many-body…

Quantum Gases · Physics 2021-01-28 S. Pegahan , J. Kangara , I. Arakelyan , J. E. Thomas

We investigate the thermopower of a metal-molecule-metal junction taking into account thermal effects on the junction. Based on analytical expressions and numerical simulations we show that the thermoelectric potential reveals valuable…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dvira Segal

Temperature dependences of thermoelectric power S(T) at $T>T_c$ of the Hg-based high temperature superconductors Hg$_{1-x}$R$_x$Ba$_2$Ca$_2$Cu$_3$O$_{8+\delta}$ (R=Re, Pb) have been analyzed with accounting for strong scattering of charge…

Superconductivity · Physics 2011-07-01 O. Babych , I. Gabriel , R. Lutsiv , M. Matviyiv , M. Vasyuk

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. {\bf 78}, 2764(1997)] where granular particles are treated as spinless…

Materials Science · Physics 2009-09-25 Nathan C. Blanchard , Paul V. Quinn , Daniel Ou-Yang , Joseph Both , Daniel C. Hong

Building on the recent solution for the spectrum of the non-commutative well in two dimensions, the thermodynamics that follows from it is computed. In particular the focus is put on an ideal fermion gas confined to such a well. At low…

High Energy Physics - Theory · Physics 2008-12-18 F G Scholtz , J Govaerts

We investigate the combined influence of a magnetic field and a harmonic interparticle interaction on the thermodynamic properties of a finite number of spin polarized fermions in a confiment potential. This study is an extension using our…

Statistical Mechanics · Physics 2009-10-31 S. Foulon , F. Brosens , J. T. Devreese , L. F. Lemmens

Thermodynamic properties such as temperature, pressure, and internal energy have been defined for finite binary strings from equilibrium distribution of a chosen computable measure. It is demonstrated a binary string can be associated with…

Information Theory · Computer Science 2010-12-24 Sergei Viznyuk

In this paper we derive an analytic approximation to the density of states for atoms in a combined optical lattice and harmonic trap potential as used in current experiments with quantum degenerate gases. We compare this analytic density of…

Statistical Mechanics · Physics 2007-06-18 P. B. Blakie , A. Bezett , P. Buonsante

We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding…

Statistical Mechanics · Physics 2020-01-08 Rachid Houça , Ahmed Jellal

Quantum fluctuation of the energy is studied for an ultracold gas of interacting fermions trapped in a three-dimensional potential. Periodic-orbit theory is explored, and energy fluctuations are studied versus particle number for generic…

Atomic Physics · Physics 2009-11-13 M. Puig von Friesen , M. Ogren , S. Aberg

Phonon frequency moments and thermodynamic functions (electrostatic and vibrational parts of the free energy, internal energy, and heat capacity) are calculated for bcc and fcc Coulomb crystals in the harmonic approximation with a…

Plasma Physics · Physics 2009-11-07 D. A. Baiko , A. Y. Potekhin , D. G. Yakovlev

We report thermodynamic magnetization measurements of a 2-dimensional electron gas for several high mobility Si-MOSFETs. The low-temperature magnetization is shown to be strongly sub-linear function of the magnetic field. The susceptibility…

Strongly Correlated Electrons · Physics 2009-11-02 N. Teneh , A. Yu. Kuntsevich , V. M. Pudalov , T. M. Klapwijk , M. Reznikov

In this work we study in a formal way the density dependent hadron field theory at finite temperature for nuclear matter. The thermodynamical potential and related quantities, as energy density and pressure are derived in two different…

Nuclear Theory · Physics 2008-11-26 S. S. Avancini , M. E. Bracco , M. Chiapparini , D. P. Menezes