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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

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

We develop here a simple yet versatile model for nuclear fragmentation in heavy ion collisions. The model allows us to calculate thermodynamic properties such as phase transitions as well as the distribution of fragments at disassembly. In…

Nuclear Theory · Physics 2016-09-08 Jicai Pan , Subal Das Gupta

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

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

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

We include p-spin interactions in a spherical version of a soluble mean-field spin-glass model proposed by van Hemmen. Due to the simplicity of the solutions, which do not require the use of the replica trick, we are able to carry out a…

Disordered Systems and Neural Networks · Physics 2011-11-09 P. T. Muzy , A. P. Vieira , S. R. Salinas

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

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

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 propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

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 conjunction with models, the experimental observable total multiplicity can be used to check if the data contain the signature of phase transition and if it is first order. Two of the models reach similar conclusions. The third one is…

Nuclear Theory · Physics 2018-05-09 S Das Gupta , S. Mallik , G. Chaudhuri

Thermal multifragmentation of hot nuclei is interpreted as the nuclear liquid-fog phase transition. The charge distributions of the intermediate mass fragments produced in p(3.6 GeV) + Au and p(8.1 GeV) + Au collisions are analyzed within…

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

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

We propose a model that provides a unified description of nuclear equation of state and fragmentations. The equation of state is evaluated in Bragg-Williams as well as in Bethe-Peierls approximations and compared with that in the mean field…

Nuclear Theory · Physics 2016-09-08 Jicai Pan , Subal Das Gupta

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

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
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