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Many-body systems undergoing quantum phase transitions reveal substantial growth of non-classical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy.…

Quantum Gases · Physics 2020-02-12 Damian Włodzyński , Daniel Pęcak , Tomasz Sowiński

Due to the equivalence of the statistical ensembles thermostatic properties of physical systems with short-range interactions can be calculated in different ensembles leading to the same physics. In particular, the ensemble equivalence…

Statistical Mechanics · Physics 2009-11-11 Hans Behringer

We propose the use of microcanonical analyses for numerical studies of peptide aggregation transitions. Performing multicanonical Monte Carlo simulations of a simple hydrophobic-polar continuum model for interacting heteropolymers of finite…

Soft Condensed Matter · Physics 2009-11-13 Christoph Junghans , Michael Bachmann , Wolfhard Janke

We describe ferroelectric thin films with circular electrodes and develop a thermodynamic theory that explains previously mysterious experiments. It is found to be especially useful for restricted geometries such as microstructures for…

Materials Science · Physics 2015-06-19 Laurent Baudry , Anaïs Sené , Igor A. Luk'yanchuk , Laurent Lahoche , James F Scott

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

Statistical Mechanics · Physics 2023-11-21 Jinwu Ye

Considering one-dimensional nonminimally-coupled lattice gauge theories, a class of nonlocal one-dimensional systems is presented, which exhibits a phase transition. It is shown that the transition has a latent heat, and, therefore, is a…

High Energy Physics - Theory · Physics 2007-05-23 M. Khorrami

The continuous ferromagnetic-paramagnetic phase transition in the two-dimensional Ising model has already been excessively studied by conventional canonical statistical analysis in the past. We use the recently developed generalized…

Statistical Mechanics · Physics 2020-05-06 Kedkanok Sitarachu , Michael Bachmann

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

Statistical Mechanics · Physics 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end…

Statistical Mechanics · Physics 2014-01-21 Peter Talkner , Manuel Morillo , Juyeon Yi , Peter Hanggi

A general discussion is made concerning the ways in which one can get signatures about a possible liquid-gas phase transition in nuclear matter. Microcanonical temperature, heat capacity and second order derivative of the entropy versus…

Nuclear Theory · Physics 2009-11-07 Al. H. Raduta , Ad. R. Raduta

The microcanonical dynamics of an ensemble of random magnetic dipoles in a needle has been investigated. Analyzing magnetic reversal times, a transition between a chaotic paramagnetic phase and an integrable ferromagnetic phase has been…

Statistical Mechanics · Physics 2014-03-31 F. Borgonovi , G. L. Celardo

First order phase transitions are described in terms of the microcanonical and canonical ensemble, with special attention to finite size effects. Difficulties in interpreting a "caloric curve" are discussed. A robust parameter indicating…

Nuclear Experiment · Physics 2007-05-23 L. G. Moretto , L. Phair , G. J. Wozniak

We experimentally study emergence of microcanonical equilibrium states in the turbulent relaxation dynamics of a two-dimensional chiral vortex gas. Same-sign vortices are injected into a quasi-two-dimensional disk-shaped atomic…

Aggregation transitions in disordered mesoscopic systems play an important role in several areas of knowledge, from materials science to biology. The lack of a thermodynamic limit in systems that are intrinsically finite makes the…

Statistical Mechanics · Physics 2022-02-25 L. F. Trugilho , L. G. Rizzi

Within the micro-canonical ensemble phase transitions of first order can be identified without invoking the thermodynamic limit. We show for the liquid-gas transition of sodium, potassium, and iron at normal pressure that the transition…

Condensed Matter · Physics 2008-02-03 D. H. E. Gross , M. E. Madjet

Placing a high-Tc superconductor in an increasing external magnetic field, the flux first penetrates the sample through an Abrikosov vortex lattice, and then a first order transition is observed by which the system goes to the normal phase.…

High Energy Physics - Phenomenology · Physics 2016-11-03 M. Laine

We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary conditions is that the configurations of the model are in an…

Mathematical Physics · Physics 2024-06-12 Ivan N. Burenev , Andrei G. Pronko

We develop a unified theory to analyze the microcanonical ensembles with several constraints given by unbounded observables. Several interesting phenomena that do not occur in the single constraint case can happen under the multiple…

Probability · Mathematics 2019-01-24 Kyeongsik Nam

The mixed state of type II superconductors has magnetic flux penetrating the sample in the form of vortices, with each vortex carrying an identical quantum of flux. These vortices generally form a triangular lattice under weak mutually…

Superconductivity · Physics 2007-05-23 P. Chaddah , S. B. Roy

We investigate the influence of domain walls on the vortex dynamics in superconductors with multi-component order parameters. We show that, due to their complex structure domain walls can carry vortices with fractional flux quanta. The…

Superconductivity · Physics 2009-10-31 Manfred Sigrist , Daniel F. Agterberg