Thermodynamics of pairing in mesoscopic systems

Abstract

Using numerical and analytical methods implemented for different models we conduct a systematic study of thermodynamic properties of pairing correlation in mesoscopic nuclear systems. Various quantities are calculated and analyzed using the exact solution of pairing. An in-depth comparison of canonical, grand canonical, and microcanonical ensemble is conducted. The nature of the pairing phase transition in a small system is of a particular interest. We discuss the onset of discontinuity in the thermodynamic variables, fluctuations, and evolution of zeros of the canonical and grand canonical partition functions in the complex plane. The behavior of the Invariant Correlational Entropy is also studied in the transitional region of interest. The change in the character of the phase transition due to the presence of magnetic field is discussed along with studies of superconducting thermodynamics.

19 pages, 24 figures

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Cited by in corpus (24)

• Constant-temperature level densities in the quasi-continuum of Th and U isotopes
• Exact mesoscopic correlation functions of the pairing model
• Thermodynamic Properties of ${}^{56,57}$Fe
• Dual algebraic structures for the two-level pairing model
• Pairing and specific heat in hot nuclei
• Exact and approximate ensemble treatments of thermal pairing in a multilevel model
• Inconsistencies in the description of pairing effects in nuclear level densities
• Quantal corrections to mean-field dynamics including pairing
• Pairing in hot rotating nuclei
• Canonical and microcanonical ensemble descriptions of thermal pairing within BCS and quasiparticle RPA
• Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity
• Dynamical correlation functions of the mesoscopic pairing model
• Thermodynamics of pairing transition in hot nuclei
• Experimental observation of the Yang-Lee quantum criticality in open systems
• Projected Quasi-particle Perturbation theory
• Combining symmetry breaking and restoration with configuration interaction: a highly accurate many-body scheme applied to the pairing Hamiltonian
• Thermodynamics of small superconductors with fixed particle number
• Thermodynamic properties of hot nuclei within the self-consistent quasiparticle random-phase approximation
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Giant dipole resonance in ${}^{201}$Tl at low temperature
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Thermodynamics of pairing transition for Odd-A nuclei
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian
• Re-investigation of heat capacity and paring phase transition in hot ${}^{93-98}$Mo nuclei