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We demonstrate the close similarity of a generalized Fermi breakup model, in which densities of excited states are taken into account, to the microcanonical statistical multifragmentation model used to describe the desintegration of highly…

Nuclear Theory · Physics 2011-09-30 B. V. Carlson , R. Donangelo , S. R. Souza , W. G. Lynch , A. W. Steiner , M. B. Tsang

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

The Statistical Multifragmentation Model is modified to incorporate the Helmholtz free energies calculated in the finite temperature Thomas-Fermi approximation using Skyrme effective interactions. In this formulation, the density of the…

Nuclear Theory · Physics 2009-12-31 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner , M. B. Tsang

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer…

Statistical Mechanics · Physics 2020-07-03 Themis Matsoukas

We present an overview of concepts and results obtained with statistical models in study of nuclear multifragmentation. Conceptual differences between statistical and dynamical approaches, and selection of experimental observables for…

Nuclear Theory · Physics 2009-11-11 A. S. Botvina , I. N. Mishustin

The approach is developed for the description of isolated Fermi-systems with finite number of particles, such as complex atoms, nuclei, atomic clusters etc. It is based on statistical properties of chaotic excited states which are formed by…

Statistical Mechanics · Physics 2009-08-18 V. V. Flambaum , F. M. Izrailev

Different methods to extract the temperature and density in heavy ion collisions are compared using a statistical model tailored to reproduce many experimental features at low excitation energy. The model assumes a sequential decay of an…

Nuclear Theory · Physics 2014-11-04 H. Zheng , G. Bonasera , J. Mabiala , P. Marini , A. Bonasera

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

The process of fusion of complex nuclei is of significant interest as an example of the collective nuclear motion of large amplitude as well as a route for synthesis of new superheavy chemical elements. This process is accompanied by the…

Nuclear Theory · Physics 2023-05-23 I. I. Gontchar , M. V. Chushnyakova

We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the…

Nuclear Theory · Physics 2025-12-16 J. E. Alba-Arroyo , Daniel Pęcak , Michael McNeil Forbes , Gabriel Wlazłowski

The fragmentation of thermalized sources is studied using a version of the Statistical Multifragmentation Model which employs state densities that take the pairing gap in the nuclear levels into account. Attention is focused on the…

The influence of the entrance channel asymmetry upon the fragmentation process is addressed by studying heavy-ion induced reactions around the Fermi energy. The data have been recorded with the INDRA 4pi array. An event selection method…

Nuclear Experiment · Physics 2009-11-07 N. Bellaize

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

The de-excitation of compound nuclei has been successfully described for several decades by means of statistical models. However, accurate predictions require some fine-tuning of the model parameters. This task can be simplified by studying…

Nuclear Theory · Physics 2015-06-11 Davide Mancusi , Robert J. Charity , Joseph Cugnon

We study the finite-temperature thermodynamics of a unitary Fermi gas. The chemical potential, energy density and entropy are given analytically with the quasi-linear approximation. The ground state energy agrees with previous theoretical…

Quantum Gases · Physics 2009-04-24 Fang Qin , Ji-sheng Chen

We suggest a straightforward approach to the calculation of the dephasing rate in a fermionic system, which correctly keeps track of the crucial physics of Pauli blocking. Starting from Fermi's golden rule, the dephasing rate can be written…

Mesoscale and Nanoscale Physics · Physics 2010-01-18 Doron Cohen , Jan von Delft , Florian Marquardt , Yoseph Imry

The results from ten statistical multifragmentation models have been compared with each other using selected experimental observables. Even though details in any single observable may differ, the general trends among models are similar.…

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 new method for obtaining the statistical weight of the Gentile Statistics. In a recent paper, Perez and Tun presented an ap- proximate combinatoric and an exact recursive formula for the statistical weight of Gentile…

Statistical Mechanics · Physics 2015-11-26 Sevilay Selvi , Haydar Uncu

We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrised in terms of Fermi-Dirac integrals. This reproduces the experimental data over the accessible range of…

Statistical Mechanics · Physics 2017-08-02 M. V. N. Murthy , M. Brack , R. K. Bhaduri
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