A Continuum,O(N) Monte-Carlo algorithm for charged particles

Details A Continuum,O(N) Monte-Carlo algorithm for charged particles A Continuum,O(N) Monte-Carlo algorithm for charged particles

2003-08-21

arxiv.org/abs/cond-mat/0308441v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1063/1.1642590

We introduce a Monte-Carlo algorithm for the simulation of charged particles moving in the continuum. Electrostatic interactions are not instantaneous as in conventional approaches, but are mediated by a constrained, diffusing electric field on an interpolating lattice. We discuss the theoretical justifications of the algorithm and show that it efficiently equilibrates model polyelectrolytes and polar fluids. In order to reduce lattice artifacts that arise from the interpolation of charges to the grid we implement a local, dynamic subtraction algorithm. This dynamic scheme is completely general and can also be used with other Coulomb codes, such as multigrid based methods.

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