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

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

Suppressing van der Waals driven rupture through shear

2010 ◽  
Vol 661 ◽  
pp. 522-539 ◽  
Author(s):  
M. J. DAVIS ◽  
M. B. GRATTON ◽  
S. H. DAVIS
Keyword(s):  
Free Surface ◽  
Wind Shear ◽  
Capillary Wave ◽  
Van Der Waals ◽  
Three Dimensional ◽  
Angular Speed ◽  
Critical Value ◽  
Finite Amplitude ◽  
Two Dimensions ◽  
Sivashinsky Equation

An ultra-thin viscous film on a substrate is susceptible to rupture instabilities driven by van der Waals attractions. When a unidirectional ‘wind’ shear τ is applied to the free surface, the rupture instability in two dimensions is suppressed when τ exceeds a critical value τc and is replaced by a permanent finite-amplitude structure, an intermolecular-capillary wave, that travels at approximately the speed of the surface. For small amplitudes, the wave is governed by the Kuramoto–Sivashinsky equation. If three-dimensional disturbances are allowed, the shear is decoupled from disturbances perpendicular to the flow, and line rupture would occur. In this case, replacing the unidirectional shear with a shear whose direction rotates with angular speed, , suppresses the rupture if τ ≳ 2τc. For the most dangerous wavenumber, τc ≈ 10−2 dyn cm−2 at ≈ 1 rad s−1 for a film with physical properties similar to water at a thickness of 100 nm.

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

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
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