The effect of a constant number of particles on the pair correlation function and the density profile in a one-dimensional lattice gas

1985 ◽  
Vol 40 (3-4) ◽  
pp. 593-606 ◽  
Author(s):  
A. Ciach
Keyword(s):  
Correlation Function ◽  
Density Profile ◽  
Pair Correlation Function ◽  
Lattice Gas ◽  
Pair Correlation ◽  
Constant Number ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Number Of Particles

The Pair Correlation Function of the Liquid-Vapour Interface: A Monte Carlo Calculation

1979 ◽  
Vol 34 (10) ◽  
pp. 1236-1238
Author(s):  
B. Borštnik ◽  
A. Ažman
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Correlation Function ◽  
Density Profile ◽  
Pair Correlation Function ◽  
Monte Carlo Calculation ◽  
Pair Correlation ◽  
Low Density ◽  
Density Region ◽  
New Information

Abstract A Monte Carlo simulation of the liquid-vapour interface near the triple point is reported. A monotonic density profile is obtained. In the entire interface the pair correlation function g(r) was found to be very close to the liquid bulk g(r), except for the low density region (ϱ(z)/(ϱliq ≦ 0.25 ) where information was inaccessible. The behaviour of the solution of the BGYB equation for the density profile is explored in the context of the new information concerning the pair correlation function in the interface.

Finite-T correlations and free exchange-correlation energy of quasi-one-dimensional electron gas

2018 ◽  
Vol 32 (05) ◽  
pp. 1850060 ◽  
Author(s):  
Vinayak Garg ◽  
Akariti Sharma ◽  
R. K. Moudgil
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Correlation Energy ◽  
Pair Correlation ◽  
Electron Gas ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Exchange Correlation ◽  
Dimensional Electron Gas ◽  
Plasmon Dispersion

We have studied the effect of temperature on static density–density correlations and plasmon excitation spectrum of quasi-one-dimensional electron gas (Q1DEG) using the random phase approximation (RPA). Numerical results for static structure factor, pair-correlation function, static density susceptibility, free exchange-correlation energy and plasmon dispersion are presented over a wide range of temperature and electron density. As an interesting result, we find that the short-range correlations exhibit a non-monotonic dependence on temperature T, initially growing stronger (i.e. the pair-correlation function at small inter-electron spacing assuming relatively smaller values) with increasing T and then weakening above a critical T. The cross-over temperature is found to increase with increasing coupling among electrons. Also, the [Formula: see text] peak in the static density susceptibility [Formula: see text] at T = 0 K smears out with rising T. The free exchange-correlation energy and plasmon dispersion show a significant variation with T, and the trend is qualitatively the same as in higher dimensions.

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