DEGENERATE CRYSTALLINE PHASE IN A TWO-DIMENSIONAL SYSTEM OF HARD DIMERS

1991 ◽  
Vol 05 (28) ◽  
pp. 1843-1851 ◽  
Author(s):  
K.W. WOJCIECHOWSKI

Monte Carlo simulations showing thermodynamic stability of a non-periodic solid phase in a system of two-dimensional hard, homonuclear dimers are reviewed briefly. The thermodynamic stability of this phase, called degenerate (or disordered) crystal, follows from a huge degeneracy of the close packed structure of the dimers. The degenerate crystalline phase and its various analogues constitute intermediate steps on a path joining periodically ordered crystalline states with completely disordered states of matter.

1996 ◽  
Vol 07 (06) ◽  
pp. 873-881 ◽  
Author(s):  
NIELS GRØNBECH-JENSEN

We present a set of expressions for evaluating energies and forces between particles interacting logarithmically in a finite two-dimensional system with periodic boundary conditions. The formalism can be used for fast and accurate, dynamical or Monte Carlo, simulations of interacting line charges or interactions between point and line charges. The expressions are shown to converge to usual computer accuracy (~10–16) by adding only few terms in a single sum of standard trigonometric functions.


Soft Matter ◽  
2020 ◽  
Vol 16 (28) ◽  
pp. 6633-6642
Author(s):  
A. Patrykiejew ◽  
W. Rżysko

We have studied the phase behavior of a two-dimensional system of Janus-like particles on a triangular lattice using the Monte Carlo method in a grand canonical ensemble.


1998 ◽  
Vol 32 (10) ◽  
pp. 1116-1118
Author(s):  
N. S. Averkiev ◽  
A. M. Monakhov ◽  
A. Yu. Shik ◽  
P. M. Koenraad

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