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This paper develops a gravitational-thermodynamic interpretation of two ensemble structures with singular behavior, denoted as canonical ensemble A and grand canonical ensemble B. Ensemble A is modeled as a stellar-type system in which…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Wen-Xiang Chen

We review here the microcanonical and canonical ensembles constructed on an underlying generalized quantum dynamics and the algebraic properties of the conserved quantities. We discuss the structure imposed on the microcanonical entropy by…

High Energy Physics - Theory · Physics 2011-04-15 Stephen L. Adler , L. P. Horwitz

We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables…

Quantum Gases · Physics 2010-05-21 Guillaume Roux

We show that the formalism commonly used to implement Bose-Einstein correlations in Monte-Carlo simulations can lead to values of the two-particle correlator significantly smaller than unity, in the case of sources with strong…

Nuclear Theory · Physics 2009-10-30 M. Martin , H. Kalechofsky , P. Foka , U. A. Wiedemann

The canonical-ensemble description of reactive quantum gas mixtures is reformulated by incorporating a single global particle-number-conservation constraint over the combined spectra of inter-converting species. This constraint replaces the…

Quantum Physics · Physics 2026-02-23 Diogo J. L. Rodrigues

An ensemble consisting on systems of two entangled spin 1/2 particles, all of them in the same global quantum state, are considered. The two spins are measured, each of them, on a fixed direction, at two randomly selected measurement times.…

Quantum Physics · Physics 2015-03-06 Ramon Lapiedra , A. Pérez

We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy…

Quantum Gases · Physics 2017-08-10 Benjamin Geiger , Juan-Diego Urbina , Quirin Hummel , Klaus Richter

Statistical models based on canonical and grand canonical ensembles are extensively used to study intermediate energy heavy ion collisions. The underlying physical assumption behind canonical and grand canonical models is fundamentally…

Nuclear Theory · Physics 2015-06-11 Swagata Mallik , Gargi Chaudhuri

Contrary to many other translationally invariant one-dimensional models, the low-temperature phase for an attractively interacting one-dimensional Bose-gas (a quantum bright soliton) is stable against thermal fluctuations. However, treating…

Quantum Gases · Physics 2016-10-31 Christoph Weiss , Simon A. Gardiner , Bettina Gertjerenken

Using the information current, we develop a Lorentz-covariant framework for modeling equilibrium fluctuations in relativistic kinetic theory in the grand-canonical ensemble. The resulting stochastic theory is proven to be causal and…

Nuclear Theory · Physics 2024-07-24 Gabriel Soares Rocha , Lorenzo Gavassino , Nicki Mullins

In the field of classical discrete systems, specifically substitutional alloys, this study introduces a stochastic thermodynamic approach to address nonlinearity within a canonical ensemble. This approach establishes a nonlinear…

Statistical Mechanics · Physics 2025-12-15 Koretaka Yuge

Quantum droplets are small clusters of atoms self-bound by the balance of attractive and repulsive forces. Here we report on the observation of a novel type of droplets, solely stabilized by contact interactions in a mixture of two…

Quantum Gases · Physics 2018-01-24 C. R. Cabrera , L. Tanzi , J. Sanz , B. Naylor , P. Thomas , P. Cheiney , L. Tarruell

Higher moments of multiplicity fluctuations of hadrons produced in central nucleus-nucleus collisions are studied within the hadron-resonance gas model in the canonical ensemble. Exact conservation of three charges, baryon number, electric…

Nuclear Theory · Physics 2017-09-27 Jing-Hua Fu

This work explores fundamental statistical and thermodynamic properties of short-and long-range-interacting systems. The purpose of this study is twofold. Firstly, we rigorously prove that the probability distribution of arbitrary few-body…

Statistical Mechanics · Physics 2020-08-19 Tomotaka Kuwahara , Keiji Saito

It is shown that for quantum ensembles consisting of equal particles, the collective micro-causality does not contradict the quantum theory. The amplitudes of the states of such an ensemble can be divided into small portions, for each of…

General Physics · Physics 2018-05-10 Yuri I. Ozhigov

In order to increase the efficiency of the computer simulation of biological molecules, it is very common to impose holonomic constraints on the fastest degrees of freedom; normally bond lengths, but also possibly bond angles. However, as…

Chemical Physics · Physics 2011-12-19 Pablo Echenique , Claudio N. Cavasotto , Pablo García-Risueño

It is well known that at the thermodynamic limit there are no observable differences in the results obtained by grand canonical and canonical descriptions of a many-body system. In the present paper, we test the validity of this statement…

atom-ph · Physics 2009-10-28 C. Herzog , M. Ol'Shanii

We report the higher order cumulants and their ratios for baryon, charge and strangeness multiplicity in canonical and grand-canonical ensembles in ideal thermal model including all the resonances. When the number of conserved quanta is…

Nuclear Theory · Physics 2016-02-11 P. Garg , D. K. Mishra , P. K. Netrakanti , A. K. Mohanty

All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally…

Quantum Physics · Physics 2024-04-29 Pawel Blasiak , Marcin Markiewicz

In this work the root to macroscopic quantum effects is revealed based on the quasiparticle model of collective excitations in an arbitrary degenerate electron gas. The $N$-electron quantum system is considered as $N$ streams coupled,…

Quantum Physics · Physics 2023-11-17 M. Akbari-Moghanjoughi