scholarly journals Deformation and orientational order of chiral membranes with free edges

Soft Matter ◽  
2021 ◽  
Author(s):  
Lijie Ding ◽  
Robert Alan Pelcovits ◽  
Thomas Powers
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Monte Carlo Methods ◽  
Liquid Crystalline ◽  
Orientational Order ◽  
Crystalline Order ◽  
Colloidal Membranes ◽  
Free Edges

Motivated by experiments on colloidal membranes composed of chiral rod-like viruses, we use Monte Carlo methods to determine the phase diagram for the liquid crystalline order of the rods and...

scholarly journals Phase Transitions in Two-Dimensional Systems of Janus-like Particles on a Triangular Lattice

2021 ◽  
Vol 22 (19) ◽  
pp. 10484
Author(s):  
Andrzej Patrykiejew
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Phase Behavior ◽  
Phase Diagrams ◽  
Triangular Lattice ◽  
Monte Carlo Methods ◽  
Orientational Order ◽  
Two Dimensional ◽  
Interaction Energies

We studied the phase behavior of two-dimensional systems of Janus-like particles on a triangular lattice using Monte Carlo methods. The model assumes that each particle can take on one of the six orientations with respect to the lattice, and the interactions between neighboring particles were weighted depending on the degree to which their A and B halves overlap. In this work, we assumed that the AA interaction was fixed and attractive, while the AB and BB interactions varied.We demonstrated that the phase behavior of the systems considered strongly depended on the magnitude of the interaction energies between the AB and BB halves. Here, we considered systems with non-repulsive interactions only and determined phase diagrams for several systems. We demonstrated that the phase diagram topology depends on the temperature at which the close-packed systems undergo the orientational order–disorder transition.

Phase Diagram and Orientational Order of a System with Second and Fourth Rank Interactions

1997 ◽  
Vol 11 (16) ◽  
pp. 1937-1944 ◽  
Author(s):  
Cesare Chiccoli ◽  
Paolo Pasini ◽  
Claudio Zannoni
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Liquid Crystals ◽  
Computer Simulations ◽  
Order Parameter ◽  
Orientational Order ◽  
Mean Field ◽  
Rank One ◽  
Site Cluster ◽  
Typical Temperature

A simple generalized Lebwohl–Lasher model for liquid crystals, where a fourth rank interaction is added to the usual second rank one, is investigated in detail. We have obtained the phase diagram of the system performing extensive Monte Carlo computer simulations for a range of the fourth to the second rank relative strengths and we compare it with the prediction of Mean Field and Two Site Cluster theories. We show that the addition of a non-negligible fourth rank term significantly changes the temperature dependence of the order parameter. Fourth rank contributions larger than 20% worsen the agreement of the model with the typical temperature behavior of the order in nematics.

scholarly journals Investigation of Multicritical Phenomena in ANNNI Model by Monte Carlo Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-4
Author(s):  
A. K. Murtazaev ◽  
J. G. Ibaev
Keyword(s):  
Phase Diagram ◽  
Heat Capacity ◽  
Monte Carlo ◽  
Ising Model ◽  
Wide Temperature Range ◽  
Monte Carlo Methods ◽  
Correlation Radius ◽  
Competing Interactions ◽  
Annni Model ◽  
Lifshitz Point

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J1/J| parameters by means of Monte Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results, a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

Investigation of Multicritical Phenomena in Complex Models of Magnetics by Monte-Carlo Methods

2012 ◽  
Vol 190 ◽  
pp. 391-395 ◽  
Author(s):  
Akai K. Murtazaev ◽  
J.G. Ibaev
Keyword(s):  
Phase Diagram ◽  
Heat Capacity ◽  
Monte Carlo ◽  
Ising Model ◽  
Wide Temperature Range ◽  
Monte Carlo Methods ◽  
Correlation Radius ◽  
Competing Interactions ◽  
Lifshitz Point ◽  
Complex Models

The anisotropic Ising model with competing interactions is investigated in wide temperature range and |J1/J| parameters by means of Monte-Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.

Phase Diagram and Orientational Order in a Biaxial Lattice Model: A Monte Carlo Study

1995 ◽  
Vol 75 (9) ◽  
pp. 1803-1806 ◽  
Author(s):  
F. Biscarini ◽  
C. Chiccoli ◽  
P. Pasini ◽  
F. Semeria ◽  
C. Zannoni
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Lattice Model ◽  
Orientational Order ◽  
Monte Carlo Study
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