skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bose-Einstein condensation phenomenology in systems with repulsive interactions

Abstract

The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: A mean-field model, an excluded volume model, and a model with a medium-dependent effective mass. All three models are tuned to yield similar equations of state, with only minor deviations from the ideal Bose gas at small chemical potentials. Our analysis indicates, however, that these models lead to qualitatively different results for the Bose-Einstein condensation phenomenon. We discuss the different aspects of this phenomenon, namely, an onset of the Bose-Einstein condensation, particle number fluctuations, and a behavior of the Bose condensate. The obtained results can be helpful for interpreting the lattice QCD data at small temperature and large isospin chemical potential and the data on multiple pion production in high-energy nuclear collisions.

Authors:
; ORCiD logo; ; ; ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Academy of Sciences of Ukraine; Alexander von Humboldt Foundation
OSTI Identifier:
1658654
Alternate Identifier(s):
OSTI ID: 1756373
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Name: Physical Review C Journal Volume: 102 Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Savchuk, Oleh, Bondar, Yehor, Stashko, Oleksandr, Poberezhnyuk, Roman V., Vovchenko, Volodymyr, Gorenstein, Mark I., and Stoecker, Horst. Bose-Einstein condensation phenomenology in systems with repulsive interactions. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevC.102.035202.
Savchuk, Oleh, Bondar, Yehor, Stashko, Oleksandr, Poberezhnyuk, Roman V., Vovchenko, Volodymyr, Gorenstein, Mark I., & Stoecker, Horst. Bose-Einstein condensation phenomenology in systems with repulsive interactions. United States. https://doi.org/10.1103/PhysRevC.102.035202
Savchuk, Oleh, Bondar, Yehor, Stashko, Oleksandr, Poberezhnyuk, Roman V., Vovchenko, Volodymyr, Gorenstein, Mark I., and Stoecker, Horst. Tue . "Bose-Einstein condensation phenomenology in systems with repulsive interactions". United States. https://doi.org/10.1103/PhysRevC.102.035202.
@article{osti_1658654,
title = {Bose-Einstein condensation phenomenology in systems with repulsive interactions},
author = {Savchuk, Oleh and Bondar, Yehor and Stashko, Oleksandr and Poberezhnyuk, Roman V. and Vovchenko, Volodymyr and Gorenstein, Mark I. and Stoecker, Horst},
abstractNote = {The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: A mean-field model, an excluded volume model, and a model with a medium-dependent effective mass. All three models are tuned to yield similar equations of state, with only minor deviations from the ideal Bose gas at small chemical potentials. Our analysis indicates, however, that these models lead to qualitatively different results for the Bose-Einstein condensation phenomenon. We discuss the different aspects of this phenomenon, namely, an onset of the Bose-Einstein condensation, particle number fluctuations, and a behavior of the Bose condensate. The obtained results can be helpful for interpreting the lattice QCD data at small temperature and large isospin chemical potential and the data on multiple pion production in high-energy nuclear collisions.},
doi = {10.1103/PhysRevC.102.035202},
journal = {Physical Review C},
number = 3,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevC.102.035202

Save / Share:

Works referenced in this record:

Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
journal, July 1995


Chiral crossover in QCD at zero and non-zero chemical potentials
journal, August 2019


Equations of state for real gases on the nuclear scale
journal, July 2017


Excluded volume hadron gas model for particle number ratios in A + A collisions
journal, October 1997

  • Yen, Granddon D.; Gorenstein, Mark I.; Greiner, Walter
  • Physical Review C, Vol. 56, Issue 4
  • DOI: 10.1103/PhysRevC.56.2210

Phase transition in an interacting boson system at finite temperatures
journal, February 2019

  • Anchishkin, D.; Mishustin, I.; Stoecker, H.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 3
  • DOI: 10.1088/1361-6471/aafea8

Bose-Einstein Condensation in a Gas of Sodium Atoms
journal, November 1995


Comparative studies of many-body corrections to an interacting Bose-Einstein condensate
journal, November 2013


Modified bag Models for the Quark–Gluon Plasma Equation of State
journal, August 2011

  • Begun, V. V.; Gorenstein, M. I.; Mogilevsky, O. A.
  • International Journal of Modern Physics E, Vol. 20, Issue 08
  • DOI: 10.1142/S0218301311019623

Atomic Theory of the λ Transition in Helium
journal, September 1953


Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
journal, May 1985

  • Nozi�res, P.; Schmitt-Rink, S.
  • Journal of Low Temperature Physics, Vol. 59, Issue 3-4
  • DOI: 10.1007/BF00683774

Thermal properties of interacting hadrons
journal, September 1992


The Transition Temperature of the Dilute Interacting Bose Gas
journal, August 1999


Mean-field approach in the multi-component gas of interacting particles applied to relativistic heavy-ion collisions
journal, September 2015


Theory of the weakly interacting Bose gas
journal, July 2004


QCD at Finite Isospin Density
journal, January 2001


Plancks Gesetz und Lichtquantenhypothese
journal, December 1924


Thermodynamics of a gas of hadrons with attractive and repulsive interactions within an S -matrix formalism
journal, April 2019


The transition temperature of the dilute interacting Bose gas for N internal states
journal, January 2000


Beth-Uhlenbeck approach for repulsive interactions between baryons in a hadron gas
journal, March 2018

  • Vovchenko, Volodymyr; Motornenko, Anton; Gorenstein, Mark I.
  • Physical Review C, Vol. 97, Issue 3
  • DOI: 10.1103/PhysRevC.97.035202

Atomic Theory of Liquid Helium Near Absolute Zero
journal, September 1953


Nonanalytic Dependence of the Transition Temperature of the Homogeneous Dilute Bose Gas on Scattering Length
journal, August 2001


Bose-Einstein condensate general relativistic stars
journal, September 2012


S -Matrix Formulation of Statistical Mechanics
journal, November 1969

  • Dashen, Roger; Ma, Shang-keng; Bernstein, Herbert J.
  • Physical Review, Vol. 187, Issue 1
  • DOI: 10.1103/PhysRev.187.345

Bose–Einstein condensation of pions in high multiplicity events
journal, September 2007


Particle number fluctuations in nuclear collisions within an excluded volume hadron gas model
journal, August 2007


Transition Temperature of a Uniform Imperfect Bose Gas
journal, November 1999


Bose-Einstein condensation in the relativistic pion gas: Thermodynamic limit and finite size effects
journal, June 2008


Identities and Many-Body Approaches in Bose-Einstein Condensates
journal, June 2019


Gluon plasma with a medium-dependent dispersion relation
journal, November 1995


Transition Temperature of the Homogeneous, Weakly Interacting Bose Gas
journal, October 1999


Theory of Bose-Einstein condensation in trapped gases
journal, April 1999

  • Dalfovo, Franco; Giorgini, Stefano; Pitaevskii, Lev P.
  • Reviews of Modern Physics, Vol. 71, Issue 3
  • DOI: 10.1103/RevModPhys.71.463

QCD at finite isospin chemical potential
journal, January 2018


Possible Bose-Einstein condensation of α particles in the ground state of nuclear matter
journal, February 2020


The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems
journal, April 2018


Quantum van der Waals and Walecka models of nuclear matter
journal, October 2017

  • Poberezhnyuk, R. V.; Vovchenko, V.; Anchishkin, D. V.
  • International Journal of Modern Physics E, Vol. 26, Issue 10
  • DOI: 10.1142/S0218301317500616

Bose–Einstein condensation and liquid–gas phase transition in strongly interacting matter composed of α particles
journal, November 2017

  • Satarov, L. M.; Gorenstein, M. I.; Motornenko, A.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 12
  • DOI: 10.1088/1361-6471/aa8c5d

Cancellation of the σ meson in thermal models
journal, September 2015


QCD Crossover at Finite Chemical Potential from Lattice Simulations
journal, July 2020


Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
journal, August 1995


Hadron resonance gas equation of state from lattice QCD
journal, February 2015


QCD phase diagram for nonzero isospin-asymmetry
journal, March 2018


New class of compact stars: Pion stars
journal, November 2018


Phase transitions and Bose-Einstein condensation in α -nucleon matter
journal, February 2019


Pion condensation in a dense neutrino gas
journal, August 2009


Thermodynamics of the strange baryon system from a coupled-channels analysis and missing states
journal, October 2018


A theory of highly condensed matter
journal, April 1974


Scaled variance, skewness, and kurtosis near the critical point of nuclear matter
journal, November 2015


A Simple Model of Bose–Einstein Condensation of Interacting Particles
journal, December 2016


α -Particle Condensation in O 16 Studied with a Full Four-Body Orthogonality Condition Model Calculation
journal, August 2008


Condensation of interacting scalar bosons at finite temperatures
journal, August 2019


Meson Condensation
journal, September 2019


Interacting hadron resonance gas meets lattice QCD
journal, November 2012