scholarly journals A novel chiral phase of achiral hard triangles and an entropy-driven demixing of enantiomers

Soft Matter ◽  
2015 ◽  
Vol 11 (44) ◽  
pp. 8684-8691 ◽  
Author(s):  
Anjan P. Gantapara ◽  
Weikai Qi ◽  
Marjolein Dijkstra
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Behavior ◽  
Two Dimensions ◽  
Chiral Phase

We investigate the phase behavior of a system of hard equilateral and right-angled triangles in two dimensions using Monte Carlo simulations.

Approximate upper bounds for the critical probability of oriented percolation in two dimensions based on rapidly mixing Markov chains

1997 ◽  
Vol 34 (04) ◽  
pp. 859-867
Author(s):  
Béla Bollabás ◽  
Alan Stacey
Keyword(s):  
Monte Carlo ◽  
Markov Chains ◽  
Monte Carlo Simulations ◽  
Statistical Tests ◽  
Upper Bounds ◽  
Two Dimensions ◽  
Oriented Percolation ◽  
Critical Probability ◽  
Confidence Levels

We develop a technique for establishing statistical tests with precise confidence levels for upper bounds on the critical probability in oriented percolation. We use it to give pc < 0.647 with a 99.999967% confidence. As Monte Carlo simulations suggest that pc ≈ 0.6445, this bound is fairly tight.

Orientational phase behavior of polymer-grafted nanocubes

Nanoscale ◽  
2019 ◽  
Vol 11 (34) ◽  
pp. 15939-15957 ◽  
Author(s):  
Brian Hyun-jong Lee ◽  
Gaurav Arya
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Behavior ◽  
Material Properties ◽  
Scaling Relations

Monte Carlo simulations and analytical scaling relations are used to identify the stable interparticle configurations (phases) exhibited by polymer-grafted nanocubes and to study their phase behavior as a function of material properties.

Langmuir monolayers with internal dipoles: Understanding phase behavior using Monte Carlo simulations

2010 ◽  
Vol 132 (1) ◽  
pp. 014703 ◽  
Author(s):  
Christopher B. George ◽  
Mark A. Ratner ◽  
Igal Szleifer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Behavior ◽  
Langmuir Monolayers

Transition under noise in the Sznajd model on square lattice

2016 ◽  
Vol 27 (03) ◽  
pp. 1650026 ◽  
Author(s):  
F. W. S. Lima
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Social Behavior ◽  
Monte Carlo Simulations ◽  
Order Phase Transition ◽  
Opinion Dynamics ◽  
Two Dimensions ◽  
Square Lattice ◽  
Behavior Model ◽  
Second Order Phase Transition

In order to describe the formation of a consensus in human opinion dynamics, in this paper, we study the Sznajd model with probabilistic noise in two dimensions. The time evolution of this system is performed via Monte Carlo simulations. This social behavior model with noise presents a well defined second-order phase transition. For small enough noise q < 0.33 most agents end up sharing the same opinion.

scholarly journals Confinement-Mediated Phase Behavior of Hydrocarbon Fluids: Insights from Monte Carlo Simulations

Langmuir ◽  
2020 ◽  
Vol 36 (26) ◽  
pp. 7277-7288
Author(s):  
Jiaoyan Li ◽  
Qi Rao ◽  
Yidong Xia ◽  
Michael Hoepfner ◽  
Milind D. Deo
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Behavior

scholarly journals Phase Behavior of Elemental Aluminum Using Monte Carlo Simulations

2006 ◽  
Vol 110 (51) ◽  
pp. 26135-26142 ◽  
Author(s):  
Divesh Bhatt ◽  
Nathan E. Schultz ◽  
Ahren W. Jasper ◽  
J. Ilja Siepmann ◽  
Donald G. Truhlar
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Behavior

Monte Carlo simulations of hard cyclic pentamers in two dimensions

1993 ◽  
Vol 78 (6) ◽  
pp. 1513-1526 ◽  
Author(s):  
A. Brańka ◽  
K.W. Wojciechowski
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Two Dimensions

Dimensional Crossover in the Growth of Depletion Zone in a Rectangular Capillary: Experiments and Monte Carlo Simulations

2003 ◽  
Vol 790 ◽  
Author(s):  
Sung Hyun Park ◽  
Hailin Peng ◽  
Panos Argyrakis ◽  
Haim Taitelbaum ◽  
Raoul Kopelman
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Reaction Zone ◽  
Two Dimensions ◽  
Finite Width ◽  
Dimensional Crossover ◽  
Depletion Zone ◽  
Diffusion Limited ◽  
Boundary Information ◽  
Specific Fraction

ABSTRACTThe diffusion-limited kinetics of the growth of depletion zone around a static point trap in a thin, long stripe geometry was studied using a laser photobleaching experiment of fluorescein dye inside a rectangular capillary. The dynamics of the depletion zone was monitored by the θ-distance, defined as the distance from the trap to the point where the reactant concentration has been depleted to the specific fraction of its initial bulk value. A dimensional crossover from two dimensions to one dimension, due to the finite width of the reaction zone, was observed. The crossover seems to occur for all θ values concurrently when the depletion zone touches the boundary for the first time, suggesting that the boundary information spreads faster than diffusion. Monte Carlo simulations were performed to support the experimental results. The crossover time (τc) is found to scale with the width (L) of the rectangular reaction zone as τc ∼ L2, as expected from the Einstein's diffusion law.

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