Correlation function of currents in a one-dimensional Bose gas

1986 ◽  
Vol 68 (3) ◽  
pp. 955-960 ◽  
Author(s):  
V. E. Korepin ◽  
N. A. Slavnov
1991 ◽  
Vol 136 (3) ◽  
pp. 633-644 ◽  
Author(s):  
V. E. Korepin ◽  
N. A. Slavnov

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Clemens Staudinger ◽  
Martin Panholzer ◽  
Robert E. Zillich

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
S. I. Mistakidis ◽  
A. G. Volosniev ◽  
P. Schmelcher
Keyword(s):  
Bose Gas ◽  

The direct correlation function between two points in the gas-liquid surface of the penetrable sphere model is obtained in a mean-field approximation. This function is used to show explicitly that three apparently different ways of calculating the surface tension all lead to the same result. They are (1) from the virial of the intermolecular potential, (2) from the direct correlation function, and (3) from the energy density. The equality of (1) and (2) is shown analytically at all temperatures 0 < T < T c where T c is the critical temperature; the equality of (2) and (3) is shown analytically for T ≈ T c , and by numerical integration at lower temperatures. The equality of (2) and (3) is shown analytically at all temperatures for a one-dimensional potential.


1985 ◽  
Vol 111 (8-9) ◽  
pp. 419-422 ◽  
Author(s):  
N.M. Bogoliubov ◽  
V.E. Korepin

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