scholarly journals One-Stage Continuous Melting Transition in Two Dimensions

1995 ◽  
Vol 75 (19) ◽  
pp. 3477-3480 ◽  
Author(s):  
Julio F. Fernández ◽  
Juan J. Alonso ◽  
Jolanta Stankiewicz
Keyword(s):  
Two Dimensions ◽  
Melting Transition ◽  
Continuous Melting ◽  
One Stage

Melting transition of a network model in two dimensions

2000 ◽  
Vol 1 (2-3) ◽  
pp. 153-157 ◽  
Author(s):  
G. Gompper ◽  
D.M. Kroll
Keyword(s):  
Network Model ◽  
Two Dimensions ◽  
Melting Transition

scholarly journals van der Waals loops and the melting transition in two dimensions

1999 ◽  
Vol 59 (3) ◽  
pp. 2659-2663 ◽  
Author(s):  
Juan J. Alonso ◽  
Julio F. Fernández
Keyword(s):  
Van Der Waals ◽  
Two Dimensions ◽  
Melting Transition

GRAND CANONICAL SIMULATIONS OF HARD-DISK SYSTEMS BY SIMULATED TEMPERING

2004 ◽  
Vol 15 (01) ◽  
pp. 129-147 ◽  
Author(s):  
GUNTER DÖGE ◽  
KLAUS MECKE ◽  
JESPER MØLLER ◽  
DIETRICH STOYAN ◽  
RASMUS P. WAAGEPETERSEN
Keyword(s):  
Chemical Potential ◽  
Pair Correlation ◽  
Hard Disk ◽  
Packing Fraction ◽  
Two Dimensions ◽  
Melting Transition ◽  
Hard Disks ◽  
Canonical Systems ◽  
Monte Carlo Algorithms ◽  
Grand Canonical

The melting transition of hard disks in two dimensions is still an unsolved problem and improved simulation algorithms may be helpful for its investigation. We suggest the application of simulating tempering for grand canonical hard-disk systems as an efficient alternative to the commonly-used Monte Carlo algorithms for canonical systems. This approach allows the direct study of the packing fraction as a function of the chemical potential even in the vicinity of the melting transition. Furthermore, estimates of several spatial characteristics including pair correlation function are studied in order to test the accuracy of the method and to analyze the melting transition in hard-disk systems. Our results seem to show that there is a weak first-order phase transition.

scholarly journals Influence of vacancies on the melting transition of hard disks in two dimensions

2000 ◽  
Vol 61 (5) ◽  
pp. 5223-5227 ◽  
Author(s):  
Martin A. Bates ◽  
Daan Frenkel
Keyword(s):  
Two Dimensions ◽  
Melting Transition ◽  
Hard Disks

Observation of a two-stage melting transition in two dimensions

1996 ◽  
Vol 53 (4) ◽  
pp. 3794-3803 ◽  
Author(s):  
Ken Bagchi ◽  
Hans C. Andersen ◽  
William Swope
Keyword(s):  
Two Dimensions ◽  
Melting Transition ◽  
Two Stage

Ethylene-on-Graphite: Evidence of a Continuous Melting Transition

1988 ◽  
Vol 27-28 ◽  
pp. 17-18
Author(s):  
J.Z. Larese ◽  
L. Passell ◽  
A.D. Heidemann ◽  
D. Richter
Keyword(s):  
Melting Transition ◽  
Continuous Melting
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