Volume 123, Number 1, July 2018
|Number of page(s)||6|
|Published online||06 August 2018|
Replicate or alternate? Isotropic boundary conditions and implications for Ewald summation
1 Division of Physical Chemistry, Lund University - POB 124, SE-22100 Lund, Sweden
2 Division of Theoretical Chemistry, Lund University - POB 124, SE-22100 Lund, Sweden
Received: 20 February 2018
Accepted: 16 July 2018
Periodic boundary conditions (PBC) are well suited to describe repetitive structures in space, yet flawed for isotropic setups in which it is commonly used. We present an approach based on exploiting the congruency of a unit cell which combines the periodic nature of PBC with isotropy of an alternating cell. By applying these isotropic periodic boundary conditions (IPBC) to the standard Ewald summation for electrostatic interactions, we show a marked reduced artificial ordering and a need for significantly less wave vectors to an otherwise equivalent PBC system. The methodology can be trivially implemented in existing molecular dynamics or Metropolis Monte Carlo Ewald summation codes, and is applicable also for particle mesh Ewald summation.
PACS: 05.20.-y – Classical statistical mechanics / 02.70.-c – Computational techniques; simulations / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2018
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