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The lack of a procedure to determine equilibrium thermodynamic properties of a small system interacting with a bath is frequently seen as a weakness of conventional statistical mechanics. A typical example for such a small system is a…

化学物理 · 物理学 2022-12-16 Mohammad Rahbar , Christopher J. Stein

The prediction of cross sections for nuclei far off stability is crucial in the field of nuclear astrophysics. We discuss the model mostly employed for such calculations: the statistical model (Hauser-Feshbach). Special emphasis is put on…

天体物理学 · 物理学 2008-11-26 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

凝聚态物理 · 物理学 2009-10-31 Doron Cohen

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…

核理论 · 物理学 2013-04-23 V. V. Sagun , A. I. Ivanytskyi , D. R. Oliinychenko , K. A. Bugaev

A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace…

数值分析 · 数学 2020-04-06 Gabriel Acosta , Francisco Bersetche

We study the information content of nuclear masses from the perspective of global models of nuclear binding energies. To this end, we employ a number of statistical methods and diagnostic tools, including Bayesian calibration, Bayesian…

核理论 · 物理学 2020-05-08 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz , Paul-Gerhard Reinhard

Fragmentation of light charged particles is studied for various systems at different incident energies between 50 and 1000 MeV/nucleon. We analyze fragment production at incident energies above, below and at transition energies using the…

核理论 · 物理学 2011-04-05 Karan Singh Vinayak , Suneel Kumar

Suppose that a point-like steady source at $x=0$ injects particles into a half-infinite line. The particles diffuse and die. At long times a non-equilibrium steady state sets in, and we assume that it involves many particles. If the…

统计力学 · 物理学 2015-12-07 Baruch Meerson

Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical…

统计力学 · 物理学 2007-05-23 Michael Kastner , Oliver Schnetz

The particle number and energy fluctuations in the system of charged particles are studied in the canonical ensemble for non-zero net values of the conserved charge. In the thermodynamic limit the fluctuations in the canonical ensemble are…

核理论 · 物理学 2011-07-19 V. V. Begun , M. I. Gorenstein , O. S. Zozulya

Canonical variables for the Poisson algebra of quantum moments are introduced here, expressing semiclassical quantum mechanics as a canonical dynamical system that extends the classical phase space. New realizations for up to fourth order…

量子物理 · 物理学 2019-05-01 Bekir Baytas , Martin Bojowald , Sean Crowe

Three versions of the quark-meson coupling (QMC) model are applied to describe properties of nuclear matter and finite nuclei. The models differ in the treatment of the bag constant and in terms of nonlinear scalar self-interactions. As a…

核理论 · 物理学 2009-10-31 Horst Mueller , Byron K. Jennings

The state of art in studying thermodynamic properties of hot and dense nuclear matter is reviewed with the special emphasis on the confinement-deconfinement transition between hadron matter and quark-gluon plasma. The most popular models…

高能物理 - 唯象学 · 物理学 2011-07-19 V. I. Yukalov , E. P. Yukalova

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…

Many physical observables can be represented as a particle spending some random time within a given domain. For a broad class of transport-dominated processes, we detail how it is possible to express the moments of the number of particle…

统计力学 · 物理学 2011-07-05 Andrea Zoia , Eric Dumonteil , Alain Mazzolo

We study symmetric nuclear matter at finite temperature, with particular emphasis on the liquid-gas phase transition. We use a standard covariance analysis to propagate statistical uncertainties from the density functional to the…

核理论 · 物理学 2015-06-22 A. Rios , X. Roca-Maza

The projectile fragmentation reactions using $^{58}Ni$ $\&$ $^{64}Ni$ beams at 140 MeV/n on targets$^{9}Be$ $\&$ $^{181}Ta$ are studied using the canonical thermodynamical model coupled with an evaporation code. The isoscaling property of…

核理论 · 物理学 2011-01-17 Gargi Chaudhuri , Swagata Mallik

In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a…

计算工程、金融与科学 · 计算机科学 2023-12-21 Felix Schmidt , Stefan Schuß , Christian Hesch

This article is devoted to the study of certain models for phase transitions involving nonlocal energies. A first part is concerned with to the asymptotic analysis of a system of fractional elliptic equations of Allen-Cahn type as a…

偏微分方程分析 · 数学 2025-06-26 Thomas Gabard , Vincent Millot

Isoscaling is found to hold for fragment yields in the antisymmetrized molecular dynamics (AMD) simulations for collisions of calcium isotopes at 35 MeV/nucleon. This suggests the applicability of statistical considerations to the dynamical…

核理论 · 物理学 2008-11-26 Akira Ono , P. Danielewicz , W. A. Friedman , W. G. Lynch , M. B. Tsang