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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

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

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

The equation of state of nuclear matter suggests that at suitable beam energies the disassembling hot system formed in heavy ion collisions will pass through a liquid-gas coexistence region. Searching for the signatures of the phase…

Nuclear Theory · Physics 2007-05-23 S. Das Gupta , A. Z. Mekjian , M. B. Tsang

We propose a new formulation of the statistical multifragmentation model based on the analysis of the virial expansion for a system of the nuclear fragments of all sizes. The developed model not only enables us to account for short-range…

Nuclear Theory · Physics 2014-03-05 V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev , I. N. Mishustin

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

We discuss exact analytical solutions of a variety of statistical models recently obtained for finite systems by a novel powerful mathematical method, the Laplace-Fourier transform. Among them are a constrained version of the statistical…

Nuclear Theory · Physics 2010-01-26 K. A. Bugaev , P. T. Reuter

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

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

For the past decade, intense experimental effort has been devoted to the search for a liquid-gas phase transition in highly excited nuclei. Now, synthesis of the large body of existing multifragmentation data provides a strong case for…

Nuclear Experiment · Physics 2015-06-26 V. E. Viola

Nuclear multifragmentation is an important phenomenon, the study of which can throw light on reaction mechanism in heavy ion collisions at intermediate and high energies. Based on statistical and dynamical model studies, this thesis is…

Nuclear Theory · Physics 2020-09-02 S. Mallik

Using a recently proposed classification scheme for phase transitions in finite systems [Phys.Rev.Lett.{\bf 84},3511 (2000)] we show that within the statistical standard model of nuclear multifragmentation the predicted phase transition is…

Nuclear Theory · Physics 2009-11-06 Oliver Muelken , Peter Borrmann

The nuclear liquid-gas phase transition of the system in ideal thermal equilibrium is studied with antisymmetrized molecular dynamics. The time evolution of a many-nucleon system confined in a container is solved for a long time to get a…

Nuclear Theory · Physics 2009-11-10 Takuya Furuta , Akira Ono

We discuss an exact analytical solution of a simplified version of the statistical multifragmentation model with the restriction that the largest fragment size cannot exceed the finite volume of the system. A complete analysis of the…

Nuclear Theory · Physics 2007-05-23 Kyrill A. Bugaev

A canonical ensemble model is used to describe a caloric curve of nuclear liquid-gas phase transition. Allowing a discontinuity in the freeze out density from one spinodal density to another for a given initial temperature, the nuclear…

Nuclear Theory · Physics 2008-11-26 S. J. Lee , A. Z. Mekjian

We discuss exact analytical solutions of a variety of statistical models recently obtained for finite systems by a novel powerful mathematical method, the Laplace-Fourier transform. Among them are a constrained version of the statistical…

Nuclear Theory · Physics 2008-11-26 K. A. Bugaev

Both simple and sophisticated models are frequently used in an attempt to understand how real nuclei breakup when subjected to large excitation energies, a process known as nuclear multifragmentation. Many of these models assume…

Nuclear Theory · Physics 2009-10-31 J. B. Elliott , A. S. Hirsch
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