Collective translational and rotational Monte Carlo cluster move for general pairwise interaction
Štěpán Růžička1, Michael P Allen1
1Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
Abstract:
Virtual move Monte Carlo is a cluster algorithm which was originally developed for strongly attractive colloidal, molecular, or atomistic systems in order to both approximate the collective dynamics and avoid sampling of unphysical kinetic traps. In this paper, we present the algorithm in the form, which selects the moving cluster through a wider class of virtual states and which is applicable to general pairwise interactions, including hard-core repulsion. The newly proposed way of selecting the cluster increases the acceptance probability by up to several orders of magnitude, especially for rotational moves. The results have their applications in simulations of systems interacting via anisotropic potentials both to enhance the sampling of the phase space and to approximate the dynamics.
Related Concept Videos
Equation of Motion: Center of Mass
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
Reduced Mass Coordinates: Isolated Two-body Problem
Noncovalent Attractions in Biomolecules
Noncovalent Attractions in Biomolecules
Four types of noncovalent interactions are hydrogen bonds, van der Waals forces, ionic bonds, and hydrophobic interactions.
Hydrogen bonding results from the electrostatic attraction of a hydrogen atom covalently bonded to a strong-electronegative atom like oxygen,...
Van der Waals Interactions
Relative Motion Analysis using Rotating Axes
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...


