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alternate case: particle mesh
Ewald summation
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Applications include simulations of plasmas, galaxies and molecules. In the particle mesh method, just as in standard Ewald summation, the generic interactionMolecular dynamics (10,318 words) [view diff] exact match in snippet view article find links to article
electrostatics methods such as particle mesh Ewald summation ( O ( n log ( n ) ) {\displaystyle O(n\log(n))} ), particle-particle-particle mesh (P3M), or good sphericalList of MeSH codes (G14) (3,088 words) [view diff] case mismatch in snippet view article
retroviruses MeSH G14.080.708.330.800.200 – genes, intracisternal a-particle MeSH G14.080.708.330.800.400 – long interspersed nucleotide elements MeSH G14Energy drift (1,139 words) [view diff] exact match in snippet view article find links to article
forth across the cutoff radius if sufficient smoothing is not used. Particle mesh Ewald summation is one solution for this effect, but introduces artifactsPeriodic boundary conditions (2,539 words) [view diff] exact match in snippet view article find links to article
can be used in conjunction with Ewald summation methods (e.g., the particle mesh Ewald method) to calculate electrostatic forces in the system. HoweverThe Journal of Chemical Physics (609 words) [view diff] exact match in snippet view article find links to article
3684–3690 (1984), [15826 citations] T. Darden, D. York, J. Pedersen, Particle mesh Ewald – An N log(N) method for Ewald sums in large systems, 98(12),N-body problem (8,738 words) [view diff] exact match in snippet view article find links to article
claimed that this further approximation reduces the complexity to O(n). Particle mesh methods divide up simulation space into a three dimensional grid ontoDesmond (software) (961 words) [view diff] exact match in snippet view article
Long-range electrostatic energy and forces can be calculated using particle mesh Ewald-based methods. Constraints can be enforced using the M-SHAKE algorithmBiology Monte Carlo method (5,068 words) [view diff] no match in snippet view article find links to article
namely the Boltzmann transport Monte Carlo (BTMC) and particle-particle-particle-mesh (P3M). The first one uses Monte Carlo method to solve the BoltzmannGADGET (565 words) [view diff] no match in snippet view article find links to article
with a hierarchical tree algorithm (optionally in combination with a particle-mesh scheme for long-range gravitational forces) and represents fluids byMolecular mechanics (2,335 words) [view diff] exact match in snippet view article find links to article
Other more sophisticated but computationally intensive methods are particle mesh Ewald (PME) and the multipole algorithm. In addition to the functionalParticle-in-cell (3,438 words) [view diff] no match in snippet view article find links to article
interactions of particles only through the average fields are called PM (particle-mesh). Those which include direct binary interactions are PP (particle-particle)QM/MM (2,191 words) [view diff] exact match in snippet view article find links to article
periodic pair-list updates and more recently the variations of the particle mesh Ewald (PME) method has reduced this to between O(N) to O(N2). In otherList of MeSH codes (G06) (1,845 words) [view diff] case mismatch in snippet view article
retroviruses MeSH G06.184.603.080.708.330.800.200 – genes, intracisternal a-particle MeSH G06.184.603.080.708.330.800.400 – long interspersed nucleotide elementsImplicit solvation (4,489 words) [view diff] exact match in snippet view article find links to article
reported to be faster than a full explicit solvent simulation with the particle mesh Ewald summation (PME) method of electrostatic calculation. There areList of MeSH codes (D12.776.157) (4,484 words) [view diff] case mismatch in snippet view article
small cytoplasmic MeSH D12.776.157.725.500.750.800 – signal recognition particle MeSH D12.776.157.725.500.875 – ribonucleoproteins, small nuclear MeSH D12Monte Carlo methods for electron transport (5,007 words) [view diff] no match in snippet view article find links to article
particles in an ensemble simulation. In this scope, Particle-Particle–Particle-Mesh (P3M) algorithms, which distinguish short range and long range interactionList of MeSH codes (D12.776) (7,397 words) [view diff] case mismatch in snippet view article
small cytoplasmic MeSH D12.776.664.962.500.750.800 – signal recognition particle MeSH D12.776.664.962.500.875 – ribonucleoproteins, small nuclear MeSH D12