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We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the…

Nuclear Theory · Physics 2009-11-13 Sakir Ayik

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

Nucleon exchange mechanism is investigated in the central collisions of ${}^{40}$Ca + ${}^{238}$U and ${}^{48}$Ca + ${}^{238}$U systems near the quasi-fission regime in the framework of the Stochastic Mean-Field (SMF) approach. Sufficiently…

Nuclear Theory · Physics 2016-01-12 S. Ayik , B. Yilmaz , O. Yilmaz

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 discuss the dynamics and thermodynamics of the Brownian Mean Field (BMF) model which is a system of N Brownian particles moving on a circle and interacting via a cosine potential. It can be viewed as the canonical version of the…

Statistical Mechanics · Physics 2015-06-16 Pierre-Henri Chavanis

To make a statement about the nature and mechanism of fragmentation, it is necessary to probe directly any competition, or lack thereof, between the emission of various particle species as a function of excitation energy. The task is then…

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

Employing the stochastic mean-field (SMF) approach, we develop a quantal diffusion description of the multi-nucleon transfer in heavy-ion collisions at finite impact parameters. The quantal transport coefficients are determined by the…

Nuclear Theory · Physics 2018-06-06 S. Ayik , B. Yilmaz , O. Yilmaz , A. S. Umar

We study the d-HMF model proposed by Atenas and Curilef, a mean field model with long-range interactions inspired by the dipole-dipole interaction. Among the challenges of this thesis is: the resolution of the d-HMF model in the canonical…

Statistical Mechanics · Physics 2021-07-23 Boris Atenas

In this paper we introduce and discuss kinetic equations for the evolution of the probability distribution of the number of particles in a population subject to binary interactions. The microscopic binary law of interaction is assumed to be…

Probability · Mathematics 2015-01-13 Federico Bassetti , Giuseppe Toscani

Molecule- and particle-based simulations provide the tools to test, in microscopic detail, the validity of classical nucleation theory. In this endeavour, determining nucleation mechanisms and rates for phase separation requires an…

Materials Science · Physics 2023-02-27 Aaron R. Finney , Matteo Salvalaglio

Biochemical reactions can happen on different time scales and also the abundance of species in these reactions can be very different from each other. Classical approaches, such as deterministic or stochastic approach, fail to account for or…

Quantitative Methods · Quantitative Biology 2014-09-16 Arnab Ganguly , Derya Altintan , Heinz Koeppl

Until recently the dynamical evolution of the interstellar medium (ISM) was simulated using collisional ionization equilibrium (CIE) conditions. However, the ISM is a dynamical system, in which the plasma is naturally driven out of…

Astrophysics of Galaxies · Physics 2013-01-15 M. A. de Avillez , D. Breitschwerdt , A. Asgekar , E. Spitoni

Within Fermionic Molecular Dynamics we investigate fragmentation of a compound system which was created in a heavy-ion collision at a beam energy in the Fermi energy domain and the decay of excited iron nuclei. We show that in FMD many-body…

Nuclear Theory · Physics 2007-05-23 H. Feldmeier , J. Schnack

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

Heavy ion reactions and other collective dynamical processes are frequently described by different theoretical approaches for the different stages of the process, like initial equilibration stage, intermediate locally equilibrated fluid…

Nuclear Theory · Physics 2014-11-21 Yun Cheng , L. P. Csernai , V. K. Magas , B. R. Schlei , D. Strottman

Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of several symmetric heavy-ion collisions in the framework of the Stochastic Mean-Field (SMF) approach. Since at bombarding energies below the fusion…

Nuclear Theory · Physics 2016-11-23 S. Ayik , O. Yilmaz , B. Yilmaz , A. S. Umar

Assuming that the effect of the residual interaction beyond mean-field is weak and has a short memory time, two approximate treatments of correlation in fermionic systems by means of Markovian quantum jump are presented. A simplified…

Quantum Physics · Physics 2009-11-11 Denis Lacroix

Standard methods used for computing the dynamics of a quantum many-body system are the mean-field (MF) approximations such as the time-dependent Hartree-Fock (TDHF) approach. Even though MF approaches are quite successful, they suffer some…

Nuclear Theory · Physics 2019-11-13 Ibrahim Ulgen , Bulent Yilmaz , Denis Lacroix

By considering momentum transfer in the Fermi constraint procedure, the stability of the initial nuclei and fragments produced in heavy-ion collisions can be further improved in the quantum molecular dynamics simulations. The case of the…

Nuclear Theory · Physics 2016-05-25 Ning Wang , Tong Wu , Jie Zeng , Yongxu Yang , Li Ou

The excitation energy and the nuclear density at the time of breakup are extracted for the $\alpha + ^{197}Au$ reaction at beam energies of 1 and 3.6 GeV/nucleon. These quantities are calculated from the average relative velocity of…

Nuclear Theory · Physics 2009-10-28 Bao-An Li , Dieter H. Gross , Volker Lips , Helmut Oeschler
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