๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Calculating electrostatic forces from grid-calculated potentials

โœ Scribed by M. E. Davis; J. A. McCammon


Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
692 KB
Volume
11
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

โœฆ Synopsis


The accurate calculation of forces from finite difference potentials is very important, especially in the area of Brownian dynamics simulations. Test charge methods are typically used to calculate these forces. In these methods, the potential is calculated with one group of charges present, then the force on a second set of charges is calculated as the negative of the gradient of the potential times the charge. The test charge methods for calculating forces between solute molecules have been compared with more accurate methods and then regions of validity of the test charge methods explored. The test charge methods neglect certain reaction field effects. It is found for the simple charged systems studied that beyond a center-to-center separation of about twice the sum of the molecular radii the test charge approximations can be quite good. For polar molecules with no net charges, however, the corrections can be significant to even longer ranges.


๐Ÿ“œ SIMILAR VOLUMES


Fast electrostatic force calculation on
โœ Amirali Kia; Daejoong Kim; Eric Darve ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 561 KB

The fast multipole method (FMM) and smooth particle mesh Ewald (SPME) are well known fast algorithms to evaluate long range electrostatic interactions in molecular dynamics and other fields. FMM is a multi-scale method which reduces the computation cost by approximating the potential due to a group

Analytical calculation of atomic and mol
โœ S. Srebrenik; H. Weinstein; R. Pauncz ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 402 KB

An nnnlytic formulation is given for the total potential in atomic and molecular systems, based on the eIectrostatic approach from the Hetlmann-Feynman theorem. The potential function is obtained from the anaIytic solution of the Poisson equation using charge densities expressed as a superposition o

Multigrid high-order mesh refinement tec
โœ Beck, Thomas L. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 208 KB

A new method for performing high-order mesh-refinement multigrid computations in real space is presented. The method allows for accurate linear scaling electrostatics calculations over composite domains with local nested fine patches. The Full Approximation Scheme (FAS) multigrid technique is utiliz