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We study the global phase diagram of the infinite range Blume-Emery-Griffiths model both in the canonical and in the microcanonical ensembles. The canonical phase diagram is known to exhibit first order and continuous transition lines…

Statistical Mechanics · Physics 2008-11-26 Julien Barre' , David Mukamel , Stefano Ruffo

In the limit of a large number of colors (N), both Yang-Mills and quantum chromodynamics are expected to have a first-order phase transition separating a confined hadronic phase and a deconfined plasma phase. One aspect of this separation…

High Energy Physics - Phenomenology · Physics 2021-01-07 Thomas D. Cohen , Scott Lawrence , Yukari Yamauchi

We study the thermodynamics of clean structures composed of superconductor (S) and ferromagnet (F) layers and consisting of one or more SFS junctions. We use fully self consistent numerical methods to compute the condensation free energies…

Superconductivity · Physics 2009-11-11 Paul H. Barsic , Oriol T. Valls , Klaus Halterman

First-order phase transitions, characterized by a discontinuous change in the order parameter, are intriguing phenomena in condensed matter physics. However, the underlying, material-specific, microscopic mechanisms often remain unclear.…

(abridged) In this paper, we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned. In particular, we emphasis our present understanding of phase transitions in the framework of…

Statistical Mechanics · Physics 2012-02-20 P. Chomaz , F. Gulminelli

The main thermodynamical properties of the first order phase transition of the relativistic mean-field (RMF) hadronic model were explored in the isobaric, the canonical and the grand canonical ensembles on the basis of the method of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. S. Parvan

A quantum statistical model of nuclear multifragmentation is proposed. The recurrence equation method used within the canonical ensemble makes the model solvable and transparent to physical assumptions and allows to get results without…

Nuclear Theory · Physics 2009-10-31 A. S. Parvan , V. D. Toneev , M. Ploszajczak

Microcanonical statistics can be well applied to non-extensive systems like nuclei, atomic clusters and systems at phase transitions of first order with inhomogeneous configurations like phase separation. No thermodynamic limit has to be…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross

High density phase transitions in a 4 dimensional Nambu-Jona-Lasinio model containing a single symmetry breaking order parameter coming from the fermion-antifermion condensates are researched and expounded by means of both the gap equation…

High Energy Physics - Theory · Physics 2008-11-26 Zhou Bang-Rong

The first-passage time is proposed as an independent thermodynamic parameter of the statistical distribution that generalizes the Gibbs distribution. The theory does not include the determination of the first passage statistics itself. A…

Statistical Mechanics · Physics 2022-08-22 V. V. Ryazanov

We present a detailed account of a first-order localization transition in the Discrete Nonlinear Schr\"odinger Equation, where the localized phase is associated to the high energy region in parameter space. We show that, due to ensemble…

Statistical Mechanics · Physics 2021-02-08 Giacomo Gradenigo , Stefano Iubini , Roberto Livi , Satya N. Majumdar

We compare the transition barrier that accompanies a first-order phase transition in the canonical and microcanonical ensemble. This is directly encoded in the probability distributions of standard Metropolis Monte Carlo simulations and a…

Statistical Mechanics · Physics 2017-12-06 Wolfhard Janke , Philipp Schierz , Johannes Zierenberg

We consider a class of Jacobi matrices with unbounded coefficients. This class is known to exhibit a first-order phase transition in the sense that, as a parameter is varied, one has purely discrete spectrum below the transition point and…

Spectral Theory · Mathematics 2014-12-30 David Damanik , Serguei Naboko

By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitions at high density in D=2 and D=3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamical fermion mass has the…

High Energy Physics - Theory · Physics 2018-01-17 Bang-Rong Zhou

The phenomenon of liquid-gas phase transition occurring in heavy ion collisions at intermediate energies is a subject of contemporary interest. Phase transition is usually characterized by the specific behaviour of state variables like…

Nuclear Theory · Physics 2018-08-15 P. Das , S. Mallik , G. Chaudhuri

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

We study the stationary state of a simple exclusion process on a ring which was recently introduced by Arndt {\it et al} [J. Phys. A {\bf 31} (1998) L45;cond-mat/9809123]. This model exhibits spatial condensation of particles. It has been…

Statistical Mechanics · Physics 2007-05-23 N. Rajewsky , T. Sasamoto , E. R. Speer

We investigate the superfluid phase transition in an $\mathrm{SU}(N)$-symmetric Fermi gas with $N$ distinct spin states using the functional renormalization group. To capture pairing phenomena beyond mean-field theory, we introduce an…

Quantum Gases · Physics 2026-05-15 Georgii Kalagov

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in…

High Energy Physics - Theory · Physics 2010-10-27 Gary T. Horowitz , Matthew M. Roberts