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An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. Excluded volume effects are taken into account in the thermodynamically self-consistent way. The model exhibits a 1-st order phase…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The model exhibits a 1-st order phase transition of the liquid-gas type. The mixed phase region of the phase diagram, where the gas of…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The system of nuclear fragments exhibits a 1-st order liquid-gas phase transition. The peculiar thermodynamic properties of the model…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

We present a few explicit counterexamples to the widely spread belief about an exclusive role of the bimodal nuclear fragment size distributions as the first order phase transition signal. In thermodynamic limit the bimodality may appear at…

Nuclear Theory · Physics 2013-11-28 V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev , D. R. Oliinychenko

On the basis of morphological thermodynamics we develop an exactly solvable version of statistical mutifragmentation model for the nuclear liquid-gas phase transition. It is shown that the hard-core repulsion between spherical nuclei…

Nuclear Theory · Physics 2023-02-03 V. S. Kucherenko , K. A. Bugaev , V. Sagun , O. Ivanytskyi

Here we propose the generalized statistical multifragmentation model which includes the liquid phase pressure of the most general form. This allows us to get rid of the absolute incompressibility of the nuclear liquid. Also the present…

Nuclear Theory · Physics 2011-06-30 K. A. Bugaev , A. I. Ivanytskyi , E. G. Nikonov , A. S. Sorin , G. M. Zinovjev

The experimental measures of the multiplicity derivatives, the moment parameters, the bimodal parameter, the fluctuation of maximum fragment charge number (NVZ), the Fisher exponent ($\tau$) and Zipf's law parameter ($\xi$), are examined to…

Nuclear Theory · Physics 2018-05-30 W. Lin , P. Ren , H. Zheng , X. Liu , M. Huang , R. Wada , G. Qu

Two roads are presently being followed in order to establish the existence of a liquid-gas phase transition in finite nuclear systems from nuclear reactions at high energy. The clean experiment of observing the thermodynamic properties of a…

Nuclear Experiment · Physics 2009-11-10 W. Trautmann

We use a simplified model which is based on the same physics as inherent in most statistical models for nuclear multifragmentation. The simplified model allows exact calculations for thermodynamic properties of systems of large number of…

Nuclear Theory · Physics 2008-11-26 S. Das Gupta , A. Z. Mekjian

A liquid droplet is fragmented by a sudden pressurized-gas blow, and the resulting droplets, adhered to the window of a flatbed scanner, are counted and sized by computerized means. The use of a scanner plus image recognition software…

Statistical Mechanics · Physics 2009-11-13 Cristian F. Moukarzel , Silvia F. Fernandez-Sabido , J. C. Ruiz-Suarez

We apply the canonical quantum statistical model of nuclear multifragmentation generalized in the framework of recently proposed Tsallis non-extensive thermostatistics for the description of nuclear multifragmentation process. The test…

Nuclear Theory · Physics 2009-11-06 K. K. Gudima , A. S. Parvan , M. Ploszajczak , V. D. Toneev

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

Recent analyses of multifragmentation in terms of Fisher's model and the related construction of a phase diagram brings forth the problem of the true existence of the vapor phase and the meaning of its associated pressure. Our analysis…

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

The multifragmentation of excited spherical nuclear sources with various N/Z ratios and fixed mass number is studied within dynamical and statistical models. The dynamical model treats the multifragmentation process as a final stage of the…

Nuclear Theory · Physics 2011-01-25 A. B. Larionov , A. S. Botvina , M. Colonna , M. Di Toro

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , J. Richert , A. Tarancon

Analyses of multifragmentation in terms of the Fisher droplet model (FDM) and the associated construction of a nuclear phase diagram bring forth the problem of the actual existence of the nuclear vapor phase and the meaning of its…

Nuclear Experiment · Physics 2009-11-11 L. G. Moretto , J. B. Elliott , L. Phair

The sensitivity of the Statistical Multifragmentation Model to the underlying statistical assumptions is investigated. We concentrate on its micro-canonical, canonical, and isobaric formulations. As far as average values are concerned, our…

Nuclear Theory · Physics 2009-11-11 C. E. Aguiar , R. Donangelo , S. R. Souza

We assume that, in equilibrium, nuclear matter at reduced density and moderate finite temperature, breaks up into many fragments. A strong support to this assumption is provided by date accumulated from intermediate energy heavy ion…

Nuclear Theory · Physics 2009-10-29 G. Chaudhuri , S. Das Gupta
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