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Equilibrium statistics of finite Hamiltonian systems is fundamentally described by the microcanonical ensemble (ME). Canonical, or grand-canonical partition functions are deduced from this by Laplace transform. Only in the thermodynamic…

Nuclear Theory · Physics 2008-11-26 D. H. E. Gross

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked…

Nuclear Theory · Physics 2009-10-31 J. Richert , P. Wagner , M. Henkel , J. M. Carmona

The aim of this work is to study how the thermodynamic temperature is related to the known thermometers for nuclei especially in view of studying the microcanonical phase transition. We find within the MMMC-model that the "S-shape" of the…

Nuclear Theory · Physics 2009-10-31 A. Le Fèvre , O. Schapiro , A. Chbihi

The clustering property of an equilibrium bipartite correlation is one of the most general thermodynamic properties in non-critical many-body quantum systems. Herein, we consider the thermalization properties of a system class exhibiting…

Statistical Mechanics · Physics 2020-05-27 Tomotaka Kuwahara , Keiji Saito

A classical fields approximation to the finite temperature microcanonical thermodynamics of weakly interacting Bose gas is applied to the idealized case of atoms confined in a box with periodic boundary conditions. We analyze in some detail…

Condensed Matter · Physics 2009-11-10 Miroslaw Brewczyk , Peter Borowski , Mariusz Gajda , Kazimierz Rzazewski

A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have finitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of…

Quantum Physics · Physics 2016-12-12 Dorje C. Brody , Lane P. Hughston

Recently-reported data suggest that bubble nucleation on surfaces with nano-sized features (cavities and posts) may occur close to the thermodynamic saturation temperature. However, according to the traditional theory of heterogeneous…

The Bardeen-Cooper-Schrieffer (BCS) mean-field theory of the pairing interaction breaks down for nuclei and ultra-small metallic grains (nanoparticles). Finite-temperature pairing correlations in such finite-size systems can be calculated…

Nuclear Theory · Physics 2008-11-26 Y. Alhassid

A new approach that is a combination of classical thermodynamics and macroscopic kinetics is offered for studying the nucleation kinetics in condensed binary solutions. The theory covers the separation of liquid and solid solutions…

Chemical Physics · Physics 2018-11-14 Nikolay V. Alekseechkin

The microcanonical ensemble is in important physical situations different from the canonical one even in the thermodynamic limit. In contrast to the canonical ensemble it does not suppress spatially inhomogeneous configurations like phase…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross , M. E. Madjet

By using freeze-out properties of multifragmenting hot nuclei produced in quasifusion central $^{129}$Xe+$^{nat}$Sn collisions at different beam energies (32, 39, 45 and 50 AMeV) which were estimated by means of a simulation based on…

We develop a phenomenological statistical model for dilute star matter at finite temperature, in which free nucleons are treated within a mean-field approximation and nuclei are considered to form a loosely interacting cluster gas. Its…

Nuclear Theory · Physics 2010-12-24 Ad. R. Raduta , F. Gulminelli

Correlation effects in nuclear matter at finite temperatures are studied for subnuclear densities ($\rho<\rho_0$) and medium excitation energy, where a nonrelativistic potential approach is possible. A quantum statistical approach is given,…

Nuclear Theory · Physics 2009-10-31 G. Roepke , A. Schnell

In this paper, we put forward a way to study the nucleon's thermodynamic properties such as its temperature, entropy and so on, without inputting any free parameters by human hand, even the nucleon's mass and radius. First we use the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Hai Lin

The coherent control of mesoscopic ensembles of atoms and Rydberg atom blockade are the basis for proposed quantum devices such as integrable gates and single photon sources. So far, experimental progress has been limited to complex…

Quantum Physics · Physics 2012-03-08 H. Kübler , J. P. Shaffer , T. Baluktsian , R. Löw , T. Pfau

We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems with sizes that make them accessible to numerical exact…

Statistical Mechanics · Physics 2023-04-05 Phillip C. Burke , Masudul Haque

An approach to pairing in finite nuclei at nonzero temperature is proposed, which incorporates the effects due to the quasiparticle-number fluctuation (QNF) around Bardeen-Cooper-Schrieffer (BCS) mean field and dynamic coupling to…

Nuclear Theory · Physics 2008-11-26 N. Dinh Dang , N. Quang Hung

A simple model based on the canonical-ensemble theory is outlined for hot nuclei. The properties of the model are discussed with respect to the Fermi gas model and the breaking of Cooper pairs. The model describes well the experimental…

Nuclear Experiment · Physics 2009-11-07 M. Guttormsen , M. Hjorth-Jensen , E. Melby , J. Rekstad , A. Schiller , S. Siem

The pairing gaps, heat capacities and level densities are calculated within the BCS-based quasiparticle approach including the effect of thermal fluctuations on the pairing field within the pairing model plus noncollective rotation along…

Nuclear Theory · Physics 2012-07-25 N. Quang Hung , N. Dinh Dang

A fully quantitative description of equilibrium and dynamical properties of hot nuclear matter will be needed for the interpretation of the available and forthcoming astrophysical data, providing information on the post merger phase of a…

Nuclear Theory · Physics 2023-06-05 Omar Benhar , Alessandro Lovato , Lucas Tonetto