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We investigate the finite-temperature evolution of microscopic free-energy corrections in nuclear fission, focusing on pairing and shell effects near scission. The analysis is based on a finite-temperature BCS treatment combined with the…

Nuclear Theory · Physics 2026-04-28 K. Pomorski , A. Augustyn , T. Cap , Y. J. Chen , M. Kowal , M. Warda , Z. G. Xiao

Based on weakly-coupled anisotropic BCS theory, the dependence of energy gap and specific heat on temperature are evaluated for superconductor MgB$_2$, and the results are compared with experimental data.We show that the weak coupling…

Superconductivity · Physics 2007-05-23 Todor M. Mishonov , Valery L. Pokrovsky , Hongduo Wei

In the standard theory of superconductivity a quasiparticle excitation changes the energy of the system by the quasiparticle energy. But the number of excitations determine also the gap energy which further determines the energy of the…

Superconductivity · Physics 2014-05-20 Dragos-Victor Anghel , George Alexandru Nemnes

The BCS-BEC crossover is studied in a systematic way in the broken-symmetry phase between zero temperature and the critical temperature. This study bridges two regimes where quantum and thermal fluctuations are, respectively, important. The…

Superconductivity · Physics 2007-05-23 P. Pieri , L. Pisani , G. C. Strinati

We show that, within a linear approximation of BCS theory, a weak homogeneous magnetic field lowers the critical temperature by an explicit constant times the field strength, up to higher order terms. This provides a rigorous derivation and…

Mathematical Physics · Physics 2020-03-27 Rupert L. Frank , Christian Hainzl , Edwin Langmann

Pairing correlations have a strong influence on nuclear level densities. Empirical descriptions and theoretical models have been developed to take these effects into account. The present article discusses cases, where descriptions of…

Nuclear Theory · Physics 2015-06-11 Karl-Heinz Schmidt , Beatriz Jurado

We investigate proposals of how the form factor approach to compute correlation functions at zero temperature can be extended to finite temperature. For the two-point correlation function we conclude that the suggestion to use the usual…

High Energy Physics - Theory · Physics 2015-06-26 O. A. Castro-Alvaredo , A. Fring

We consider finite temperature dynamical correlation functions in the interacting delta-function Bose gas. In the low-temperature limit the asymptotic behaviour of correlation functions can be determined from conformal field theory. In the…

Statistical Mechanics · Physics 2009-10-31 Fabian H. L. Essler , Vladimir E. Korepin , Franck T. Latremoliere

I discuss and extend the recent proposal of Leclair and Mussardo for finite temperature correlation functions in integrable QFTs. I give further justification for its validity in the case of one point functions of conserved quantities. I…

High Energy Physics - Theory · Physics 2009-10-31 H. Saleur

A brief introduction is given in the generic microscopic framework of superconductivity. The consequences for the temperature dependence of the kinetic energy, and the correlation energy are discussed for two cases: The BCS scenario and the…

Superconductivity · Physics 2007-05-23 D. van der Marel , H. J. A. Molegraaf , C. Presura , I. Santoso

Although the BCS theory of superconductivity is a well established theory, we have shown that the phenomenology predicted by this model is much richer than previously believed. By releasing the constraint that the attraction band is…

Superconductivity · Physics 2016-11-23 Dragos-Victor Anghel

The errors in the arguments, numerical results, and conclusions in the paper "Test of a modified BCS theory performance in the picket fence model" [Nucl. Phys. A 822 (2009) 1] by V.Yu. Ponomarev and A.I. Vdovin are pointed out. Its…

Nuclear Theory · Physics 2009-04-03 Nguyen Dinh Dang

The intimate connection between antiferromagnetism and superconductivity is at the core of high-temperature superconductivity. Here, we put forward the projected BCS theory for the unification of antiferromagnetism at half filling and…

Strongly Correlated Electrons · Physics 2020-01-01 Hyunwoong Kwon , Kwon Park

The applicability conditions of a recently reported Central Limit Theorem-based approximation method in statistical physics are investigated and rigorously determined. The failure of this method at low and intermediate temperature is proved…

Statistical Mechanics · Physics 2012-03-21 Bruno Leggio , Oleg Lychkovskiy , Antonino Messina

Generalized BCS equations which consistently include the projection on the particle-number parity are derived from a systematic variational method. Numerical solutions are given that are illustrative of ultra-small metallic grains. Compared…

Superconductivity · Physics 2007-05-23 R. Balian , H. Flocard , M. Veneroni

The theory of superstatistics, originally proposed for the study of complex nonequilibrium systems, has recently been extended to studies of small systems interacting with a finite environment, because such systems display interestingly…

Statistical Mechanics · Physics 2023-04-19 Constanza Farías , Sergio Davis

The evolution of QCD coupling constant at finite temperature is considered by making use of the finite temperature renormalization group equation up to the one-loop order in the background field method with the Feynman gauge and the…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , M. Hayashi

We develop a finite temperature Hartree theory for the trapped dipolar Bose gas. We use this theory to study thermal effects on the mechanical stability of the system and density oscillating condensate states. We present results for the…

Quantum Gases · Physics 2012-09-19 R. N. Bisset , D. Baillie , P. B. Blakie

We study the heat transfer between two finite quantum systems initially at different temperatures. We find that a recently proposed fluctuation theorem for heat exchange, namely the exchange fluctuation theorem [C. Jarzynski and D. K.…

Statistical Mechanics · Physics 2009-07-03 Shiho Akagawa , Naomichi Hatano

We derive the mass-temperature relation using an improved top-hat model and a continuous formation model which takes into account the effects of the ordered angular momentum acquired through tidal-torque interaction between clusters, random…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Antonino Del Popolo , Francesco Pace , David F. Mota