# Transition Temperature of the Homogeneous, Weakly Interacting Bose Gas

@article{Holzmann1999TransitionTO,
title={Transition Temperature of the Homogeneous, Weakly Interacting Bose Gas},
author={Markus Holzmann and Werner Krauth},
journal={Physical Review Letters},
year={1999},
volume={83},
pages={2687-2690}
}
• Published 13 May 1999
• Physics
• Physical Review Letters
We present a Monte Carlo calculation for up to $N \sim 20 000$ bosons in 3 D to determine the shift of the transition temperature due to small interactions $a$. We generate independent configurations of the ideal gas. At finite $N$, the superfluid density changes by a certain correlation function in the limit $a \to 0$; the $N \to \infty$ limit is taken afterwards. We argue that our result is independent of the order of limits. Detailed knowledge of the non-interacting system for finite $N… ## Figures from this paper CRITICAL TEMPERATURE OF A WEAKLY INTERACTING BOSE GAS IN A POWER-LAW POTENTIAL • Physics • 2003 The critical temperature Tc of a weakly interacting Bose gas in an isotropic power-low potential is investigated in the mean-field approximation by taking into account the fact that the particle CRITICAL BEHAVIOR OF A TWO-DIMENSIONAL DILUTE BOSE GAS • Physics • 2001 We applied the Renormalization Group method at finite temperature to reconsider the two-dimensional dilute Bose gas. The general flow equations are obtained for the case of arbitrary dimensions, and Three-dimensional dilute Bose liquid at finite temperature: a Renormalization Group approach • Physics • 2007 We consider the influence of temperature on the critical behavior of a weakly interacting three dimensional Bose system. Using the flow equations of the Renormalization Group and a Φ4 model with Theory of the weakly interacting Bose gas This article reviews recent advances in the theory of the three-dimensional dilute homogeneous Bose gas at zero and finite temperature. Effective-field-theory methods are used to formulate a CALCULATION OF THE CRITICAL TEMPERATURE OF AN INTERACTING BOSE GAS BY MEANFIELD APPROXIMATION • Physics • 2001 The critical temperature of a uniform interacting Bose gas is shown to be increased by the repulsive interaction in the frame work of meanfield approximation, which has been regarded by many authors Thermodynamics and finite-size scaling of homogeneous weakly interacting Bose gases within an exact canonical statistics • Physics • 2009 The thermodynamic properties and finite-size scaling of weakly interacting Bose gases with a finite number of particles confined in a cubic box of volume${L}^{3}\$ with periodic boundary conditions
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• Physics
• 2000
The formalism of Ursell operators provides a self-consistent integral equation for the one-particle reduced operator. In three dimensions this technique yields values of the shift in the
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• Physics
• 2006
We consider the influence of temperature on the critical behavior of the weakly interacting three-dimensional Bose system. Using the flow equations of the Renormalization group and a Φ4 model with
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• 2002
We study the d-dimensional Bose gas at finite temperature using the renormalization-group method. The flow-equations and the free energy are obtained for dimension d, and the cases d < 2 and d = 2
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Abstract An expression for single particle density of weakly interacting trapped quantum gases has been obtained for Fermi gas at all temperatures and for Bose gas above the transition temperature

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