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A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an…

Mathematical Physics · Physics 2008-11-06 E. D. Belokolos

The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions is presented. Some open questions, concerning in particular equilibrium partitions are discussed. We show a detailed…

The properties of excited nuclear matter and the quest for a phase transition which is expected to exist in this system are the subject of intensive investigations. High energy nuclear collisions between finite nuclei which lead to matter…

Nuclear Theory · Physics 2009-11-06 J. Richert , P. Wagner

Accurate calculations of the nucleation rate $\Gamma$ for first order phase transitions are important for determining their observable consequences in particle physics and cosmology. Perturbative calculations are often used, but they are…

High Energy Physics - Lattice · Physics 2025-02-07 Oliver Gould , Anna Kormu , David J. Weir

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov

Two instructive effects concerning fragment production at disintegration of finite nuclei are predicted with the statistical multifragmentation model: (1) a concentration of neutrons in intermediate mass fragments during the phase…

Nuclear Theory · Physics 2007-05-23 A. S. Botvina

We show, that the standard model of phase transition can be unified with the gradient model of phase transitions using the description in terms of the gradient of order parameter. The generalization of the gradient theory of phase…

Statistical Mechanics · Physics 2012-06-21 B. I. Lev , A. G. Zagorodny

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

We study the phase diagram of the $U(2) \times U(2)$ scalar model in $d=4$ dimensions. We find that the phase transition is of first order in most of the parameter space. The theory can still be relevant to continuum physics (as an…

High Energy Physics - Lattice · Physics 2009-10-30 D. Espriu , V. Koulovassilopoulos , A. Travesset

The process of nuclear multifragmentation has been implemented, together with evaporation and fission channels of the disintegration of excited remnants in nucleus-nucleus collisions using percolation theory and the intranuclear cascade…

Nuclear Theory · Physics 2009-11-07 G. Musulmanbekov , A. Al--Haidary

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

In this Letter, three physical predictions on the phase separation of binary systems are derived based on a dynamic transition theory developed recently by the authors. First, the order of phase transitions is precisely determined by the…

Statistical Mechanics · Physics 2010-05-14 Tian Ma , Shouhong Wang

Materials with nanoscale phase separation are considered. These materials are formed by a mixture of several phases, so that inside one phase there exist nanosize inclusions of other phases, with random shapes and random spatial locations.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 V. I. Yukalov , E. P. Yukalova

A criterion is derived for the determination of parameter domains of first order phase transitions in quantum mechanical tunneling models. The criterion is tested by application to various models, in particular to some which have been used…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. J. W. Mueller-Kirsten , D. K. Park , J. M. S. Rana

Bimodal distributions of some chosen variables measured in nuclear collisions were recently proposed as a non ambiguous signature of a first order phase transition in nuclei. This section presents a compilation of both theoretical and…

Nuclear Experiment · Physics 2009-11-11 Olivier Lopez , Marie-France Rivet

Here we present an explicit counterexample to the widely spread beliefs about an exclusive role of bimodality as the first order phase transition signal. On the basis of an exactly solvable statistical model generalizing the statistical…

Nuclear Theory · Physics 2013-04-23 V. V. Sagun , A. I. Ivanytskyi , D. R. Oliinychenko , K. A. Bugaev

We present a classification scheme for phase transitions in finite systems like atomic and molecular clusters based on the Lee-Yang zeros in the complex temperature plane. In the limit of infinite particle numbers the scheme reduces to the…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Oliver Muelken , Jens Harting

We discuss different aspects which could influence temperatures deduced from experimental isotopic yields in the multifragmentation process. It is shown that fluctuations due to the finite size of the system and distortions due to the decay…

Nuclear Theory · Physics 2011-07-19 S. R. Souza , W. P. Tan , R. Donangelo , C. K. Gelbke , W. G. Lynch , M. B. Tsang

In this talk we will review the different signals of liquid gas phase transition in nuclei. From the theoretical side we will first discuss the foundations of the concept of equilibrium, phase transition and critical behaviors in infinite…

Nuclear Experiment · Physics 2007-05-23 Ph. Chomaz

Quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Critical-point Hamiltonians for first- and second-order transitions are identified by resolving them into intrinsic and…

Nuclear Theory · Physics 2008-11-26 A. Leviatan