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We prove sharp two-sided global estimates for the heat kernel associated with a Euclidean sphere of arbitrary dimension. This solves a long-standing open problem.

Classical Analysis and ODEs · Mathematics 2019-11-19 Adam Nowak , Peter Sjögren , Tomasz Z. Szarek

The temperature dependent BCS equations are modified in order to include the contribution of the continuum single particle states. The influence of the continuum upon the critical temperature corresponding to the phase transition from a…

Nuclear Theory · Physics 2009-10-31 N. Sandulescu , O. Civitarese , R. J. Liotta

The pairing gaps, heat capacities and level densities are calculated within the BCS-based quasiparticle approach including the effect of thermal fluctuations on the pairing field within the pairing model plus noncollective rotation along…

Nuclear Theory · Physics 2012-07-25 N. Quang Hung , N. Dinh Dang

Models for characterization of laser-accelerated electron via its produced bremsstrahlung are provided for both thin and thick targets. An effective temperature functional is proposed to overcome the so-called cold and hot "temperatures" in…

Instrumentation and Detectors · Physics 2018-08-01 Guillermo Hernández , Francisco Fernández

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 B. A. Schmidt , K. Bennaceur , S. Gaucher , G. Gervais , L. N. Pfeiffer , K. W. West

In the paper, the thermodynamic properties of the superconducting state in the $\rm{B_{2}H_{6}}$ compound have been characterized. The pressure of 360 GPa has been taken into account. The calculations have been carried out in the framework…

Superconductivity · Physics 2013-03-05 R. Szczesniak , E. A. Drzazga , A. M. Duda

A systematic comparison of different isotopic temperatures with the thermodynamical temperature of a multifragment system is made on the basis of the Statistical Multifragmentation Model. It is demonstrated that isotopic temperatures are…

Nuclear Theory · Physics 2008-11-26 J. P. Bondorf , A. S. Botvina , I. N. Mishustin

We show that a quartic contact interaction between charged fermions can lead to Cooper pairing and a superconducting instability in the background of a charged asymptotically Anti-de Sitter black hole. For a massless fermion we obtain the…

High Energy Physics - Theory · Physics 2014-11-20 Thomas Hartman , Sean A. Hartnoll

The detailed study of the selected thermodynamic properties of the superconducting phase in the molecular hydrogen under the pressure at 428 GPa has been presented. For the increasing value of the Coulomb pseudopotential,…

Superconductivity · Physics 2023-07-19 R. Szczesniak , M. W. Jarosik

From experimental observations of limiting temperatures in heavy ion collisions we derive Tc, the critical temperature of infinite nuclear matter. The critical temperature is 16.6 +- 0.86 MeV. Theoretical model correlations between Tc, the…

Nuclear Experiment · Physics 2009-11-07 J. B. Natowitz , K. Hagel , Y. Ma , M. Murray , L. Qin , R. Wada , J. Wang

The Fermi polaron problem, which describes a mobile impurity that interacts with a spin-polarized Fermi sea, is a paradigmatic system in quantum many-body physics and has been challenging to address quantitatively in its strong coupling…

Quantum Gases · Physics 2025-11-26 S. Ramachandran , S. Jensen , Y. Alhassid

The free energy difference between the superconducting and normal state for Calcium under the pressure at 120 GPa has been determined. The numerical calculations have been made in the framework of the imaginary axis Eliashberg approach. On…

Superconductivity · Physics 2012-04-23 R. Szczęśniak , A. P. Durajski , M. W. Jarosik

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

We calculate the specific heat of composite fermion system in the half-filled Landau level. Two different methods are used to examine validity of the quasiparticle approximation when the two-body interaction is given by $V(q) = V_0 /…

Condensed Matter · Physics 2009-10-28 Yong Baek Kim , Patrick A. Lee

When a rotating neutron star loses angular momentum, the reduction in the centrifugal force makes it contract. This perturbs each fluid element, raising the local pressure and originating deviations from beta equilibrium that enhance the…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Cristobal Petrovich , Andreas Reisenegger

We formulate a Bardeen-Cooper-Schriffer (BCS) theory of quasiparticles in a degenerate Fermi gas strongly coupled to photons in a optical cavity. The elementary photonic excitations of the system are cavity polaritons, which consist of a…

We predict a p-wave Cooper pairing of the spin-polarized fermions in a binary fermion-boson mixture due to the exchange of density fluctuations of the bosonic medium. We then examine the dependence of the Cooper paring temperature on the…

Soft Condensed Matter · Physics 2009-11-07 D. V. Efremov , L. Viverit

Quantum-mechanical fluctuations between competing phases at $T=0$ induce exotic finite-temperature collective excitations that are not described by the standard Landau Fermi liquid framework. These excitations exhibit anomalous temperature…

The specific heat of the $x-y$ model is studied on cubic lattices of sizes $L \times L \times L$ and on lattices $L \times L \times H$ with $L \gg H$ (i.e. on lattices representing a film geometry) using the Cluster Monte Carlo method.…

Condensed Matter · Physics 2016-08-31 N. Schultka , E. Manousakis

A general analysis on Fermion pairing at finite temperature and density between different species with mismatched Fermi surfaces is presented. Very different from the temperature effect of BCS phase, the recently found breached pairing…

Condensed Matter · Physics 2009-11-10 Jinfeng Liao , Pengfei Zhuang