scholarly journals Two-step melting of the Weeks-Chandler-Anderson system in two dimensions

Soft Matter ◽  
2021 ◽  
Author(s):  
Shubhendu Shekhar Khali ◽  
Dipanjan Chakraborty ◽  
Debasish Chaudhuri
Keyword(s):  
Numerical Simulation ◽  
Two Dimensions ◽  
Dimensional System ◽  
Lennard Jones Potential ◽  
Two Dimensional ◽  
Jones Potential ◽  
Lennard Jones ◽  
System Of Particles ◽  
Two Dimensional System ◽  
Repulsive Part

We present a detailed numerical simulation study of a two-dimensional system of particles interacting via the Weeks-Chandler-Anderson potential, the repulsive part of the Lennard-Jones potential. With the reduction of density,...

scholarly journals ANISOTROPIC FERMI SURFACES AND KOHN–LUTTINGER SUPERCONDUCTIVITY IN TWO DIMENSIONS

1999 ◽  
Vol 13 (20) ◽  
pp. 2545-2572 ◽  
Author(s):  
J. GONZÁLEZ ◽  
F. GUINEA ◽  
M. A. H. VOZMEDIANO
Keyword(s):  
Critical Dimension ◽  
Two Dimensions ◽  
Dimensional System ◽  
Two Dimensional ◽  
Fermi Surfaces ◽  
Wide Range ◽  
Liquid Behavior ◽  
Simple Scaling ◽  
Two Dimensional System ◽  
Fermi Line

The instabilities induced on a two-dimensional system of correlated electrons by the anisotropies of its Fermi line are analyzed on general grounds. Simple scaling arguments allow to predict the opening of a superconducting gap with a well-defined symmetry prescribed by the geometry of the Fermi line. The same arguments predict a critical dimension of 3/2 for the transition of the two-dimensional system to non-Fermi liquid behavior. The methods are applied to the t–t′ Hubbard model in a wide range of dopings.

MASS DISTRIBUTION OF A TWO-DIMENSIONAL FRAGMENTATION PROCESS

2005 ◽  
Vol 16 (02) ◽  
pp. 253-258 ◽  
Author(s):  
L. E. ARARIPE ◽  
A. DIEHL ◽  
J. S. ANDRADE ◽  
R. N. COSTA FILHO
Keyword(s):  
Mass Distribution ◽  
Radial Component ◽  
Fragmentation Process ◽  
Lennard Jones Potential ◽  
Two Dimensional ◽  
Jones Potential ◽  
Lennard Jones ◽  
Mass Size ◽  
Dynamics Simulations ◽  
Number Of Particles

We perform extensive molecular dynamics simulations to study the mass size distribution of a two-dimensional fragmentation process. Our model consists of a large number of particles interacting through the Lennard–Jones potential. The fragmentation is induced by suddenly imposing a radial component on the particles' velocities, in order to mimic an explosion phenomenon. We then investigate the effect of the input energy on the resulting mass distribution of fragments.

scholarly journals Effect of Impurities on a Two-Dimensional Dodecagonal Quasicrystal

2021 ◽  
Author(s):  
Masahiro Fuwa ◽  
Masahide Sato
Keyword(s):  
Interaction Potential ◽  
Rotational Symmetry ◽  
Lennard Jones Potential ◽  
Two Dimensional ◽  
Jones Potential ◽  
Lennard Jones ◽  
Impurity Density ◽  
Effect Of Impurities ◽  
Potential Matrix ◽  
Dynamics Simulations

Abstract Langevin dynamics simulations are performed to examine how impurities affect two-dimensional dodecagonal quasicrystals. We assumed that the interaction potential between two particles is the Lennard-Jones-Gauss potential if at least one of these particles is a matrix particle and that the interaction potential between two impurities is the Lennard-Jones potential. Matrix particles and impurities impinge with constant rates on the substrate created by a part of a dodecagonal quasicrystal consisting of square and triangular tiles. The dependences of the twelve-fold rotational order and the number of shield-like tiles on the impurity density are examined after sufficient solid layers are grown. While the change in the twelve-fold rotational symmetry is small, the number of shield-like tiles in the solid increases greatly with increasing impurity density.

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