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The thermodynamics and microstructure of confined fluids with small particle number are best described using the canonical ensemble. However, practical calculations can usually only be performed in the grand-canonical ensemble, which can…

Soft Condensed Matter · Physics 2025-03-13 Emmanuel di Bernardo , Joseph Brader

This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

Statistical Mechanics · Physics 2014-07-29 Jiří Pešek

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

Statistical Mechanics · Physics 2023-11-21 Jinwu Ye

Quantum systems are typically characterized by the inherent fluctuation of their physical observables. Despite this fundamental importance, the investigation of the fluctuations in interacting quantum systems at finite temperature continues…

The paper demonstrates that the canonical probability distribution of the occupancy numbers of a bosonic system is multinomial, and shows how the thermodynamics of the canonical system descends from this distribution. The categorical…

Statistical Mechanics · Physics 2025-11-25 Arnaldo Spalvieri

Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble. Classically this is the manifold of all points in the $N-$body phase space with the given total energy. Due to Boltzmann's principle,…

Statistical Mechanics · Physics 2009-04-28 D. H. E. Gross

We propose an embedding of standard active particle models in terms of two-temperature processes. One temperature refers to an ambient thermal bath, and the other temperature effectively describes ``hot spots,'' i.e., systems with few…

Statistical Mechanics · Physics 2024-01-23 Faezeh Khodabandehlou , Christian Maes

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

Quantum Gases · Physics 2015-06-22 Yangqian Yan , D. Blume

We investigate the mass fractions and in-medium properties of heavy nuclei in stellar matter at characteristic densities and temperatures for supernova (SN) explosions. The individual nuclei are described within the compressible liquid-drop…

Nuclear Theory · Physics 2017-03-21 Shun Furusawa , Igor Mishustin

Warm dense matter is one of the most active frontiers in plasma physics due to its relevance for dense astrophysical objects as well as for novel laboratory experiments in which matter is being strongly compressed e.g. by high-power lasers.…

We discuss the asymptotic properties of quantum states density for fundamental $p-$branes which can yield a microscopic interpretation of the thermodynamic quantities in M-theory. The matching of BPS part of spectrum for superstring and…

High Energy Physics - Theory · Physics 2009-11-10 M. C. B. Abdalla , A. A. Bytsenko , B. M. Pimentel

The level densities and gamma-ray strength functions of 205-208Pb have been measured with the Oslo method, utilizing the (3He, 3He' gamma) and (3He,alpha gamma) reactions on the target nuclei 206Pb and 208Pb. The extracted level densities…

To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model…

Plasma Physics · Physics 2007-05-23 Abdelhamid Khalfaoui , Djamila Bennaceur-Doumaz

We calculate thermodynamic quantities in symmetric nuclear matter within the self-consistent Green's functions method including three-body forces. The thermodynamic potential is computed directly from a diagrammatic expansion, implemented…

Nuclear Theory · Physics 2009-08-26 V. Soma , P. Bozek

We study the simplest possible model of nanocrystal consisting in a simple cubic lattice with a small number of atoms (NA ~ 10-10^3), where each atom is linked to its nearest neighbor by a quantum harmonic potential. Some properties…

General Physics · Physics 2016-08-12 D. S. Bertoldi , A. Fernández Guillermet , E. N. Miranda

We review several properties of thermal states of spin Hamiltonians with short range interactions. In particular, we focus on those aspects in which the application of tools coming from quantum information theory has been specially…

Quantum Physics · Physics 2019-05-01 Martin Kliesch , Arnau Riera

The thermodynamical properties of toroidal black holes in the grand canonical ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Claudia S. Peça , José P. S. Lemos

In this work we extend the applicability of the microcanonical ensemble simulation method, originally proposed to study the Ising model (A. H\"uller and M. Pleimling, Int. Journal of Modern Physics C, 13, 947 (2002),…

Statistical Mechanics · Physics 2015-09-16 Francisco Sastre , Ana Laura Benavides , José Torres-Arenas , Alejandro Gil-Villegas

The heat capacity of neutron matter is studied over the range of densities and temperatures prevailing in neutron-star crusts, allowing for the transition to a superfluid phase at temperatures below some critical temperature $T_{sf}$ and…

Solar and Stellar Astrophysics · Physics 2015-06-23 A. Pastore , N. Chamel , J. Margueron

We introduce a nanocalorimetric technique based on microsecond-pulsed heating (\mu s-PHnC) that enables high-sensitivity, quasi-isothermal heat capacity measurements on nanoscale samples. Such resolution is critical for exploring…