Automatic Variance Reduction for Three-Dimensional Monte Carlo Simulations by the Local Importance Function Transform—I: Analysis

Abstract Performing isothermal-isochoric Monte Carlo simulations, I examine the types of clusters that dumbbell-like one–patch particles form in thin space between two parallel walls, assuming that each particle is synthesized through the merging of two particles, one non-attracting and the other attracting for which, for example, the inter-particle interaction is approximated by the DLVO model. The shape of these dumbbell-like particles is controlled by the ratio of the diameters q of the two spherical particles and by the dimensionless distance l between them. Using a modified Kern–Frenkel potential, I examine the dependence of the cluster shape on l and q. Large island-like clusters are created when q < 1. With increasing q, the clusters become chain-like. When q increases further, elongated clusters and regular polygonal clusters are created. In hte simulations, the cluster shape becomes three-dimensional with increasing l because the thickness of the thin system increases proportionally to l.

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Three-Dimensional Lattice Monte Carlo Simulations of Model Proteins. IV. Proteins at an Oil−Water Interface

Langmuir ◽

10.1021/la052535h ◽

2006 ◽

Vol 22 (7) ◽

pp. 3265-3272 ◽

Cited By ~ 4

Author(s):

K. Leonhard ◽

J. M. Prausnitz ◽

C. J. Radke

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Three Dimensional ◽

Water Interface ◽

Dimensional Lattice ◽

Lattice Monte Carlo ◽

Oil Water

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Non-Equilibrium Critical Relaxation of Heisenberg Ferromagnets with Long-Range Correlated Defects

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.190.39 ◽

2012 ◽

Vol 190 ◽

pp. 39-42

Author(s):

M. Medvedeva ◽

Pavel V. Prudnikov

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Critical Behavior ◽

Critical Exponents ◽

Heisenberg Model ◽

Three Dimensional ◽

Initial State ◽

Short Time ◽

Theoretic Description ◽

Good Agreement

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.

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Symmetry-Based Variance Reduction Applied to 60Co Teletherapy Unit Monte Carlo Simulations

Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications ◽

10.1007/978-3-642-18211-2_31 ◽

2001 ◽

pp. 187-192

Author(s):

D. Sheikh-Bagheri

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Variance Reduction

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Clusters formed by dumbbell-like one-patch particles confined in thin systems

Scientific Reports ◽

10.1038/s41598-021-97542-7 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Masahide Sato

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Particle Interaction ◽

Three Dimensional ◽

The Other ◽

Spherical Particles ◽

Dimensionless Distance ◽

Large Island ◽

Cluster Shape

AbstractPerforming isothermal-isochoric Monte Carlo simulations, I examine the types of clusters that dumbbell-like one–patch particles form in thin space between two parallel walls, assuming that each particle is synthesized through the merging of two particles, one non-attracting and the other attracting for which, for example, the inter-particle interaction is approximated by the DLVO model . The shape of these dumbbell-like particles is controlled by the ratio of the diameters q of the two spherical particles and by the dimensionless distance l between these centers. Using a modified Kern–Frenkel potential, I examine the dependence of the cluster shape on l and q. Large island-like clusters are created when $$q<1$$ q < 1 . With increasing q, the clusters become chain-like . When q increases further, elongated clusters and regular polygonal clusters are created. In the simulations, the cluster shape becomes three-dimensional with increasing l because the thickness of the thin system increases proportionally to l.

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