0000000000633814

AUTHOR

Nico F. A. Van Der Vegt

showing 2 related works from this author

Iterative integral equation methods for structural coarse-graining

2021

In this paper, new Newton and Gauss-Newton methods for iterative coarse-graining based on integral equation theory are evaluated and extended. In these methods, the potential update is calculated from the current and target radial distribution function, similar to iterative Boltzmann inversion, but gives a potential update of quality comparable with inverse Monte Carlo. This works well for the coarse-graining of molecules to single beads, which we demonstrate for water. We also extend the methods to systems that include coarse-grained bonded interactions and examine their convergence behavior. Finally, using the Gauss-Newton method with constraints, we derive a model for single bead methano…

Quantitative Biology::BiomoleculesMonte Carlo methodGeneral Physics and AstronomyInverseRadial distribution functionIntegral equationInversion (discrete mathematics)symbols.namesakeBoltzmann constantConvergence (routing)symbolsApplied mathematicsGranularityPhysical and Theoretical ChemistryMathematicsThe Journal of Chemical Physics
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Introducing Memory in Coarse-Grained Molecular Simulations

2021

[Image: see text] Preserving the correct dynamics at the coarse-grained (CG) level is a pressing problem in the development of systematic CG models in soft matter simulation. Starting from the seminal idea of simple time-scale mapping, there have been many efforts over the years toward establishing a meticulous connection between the CG and fine-grained (FG) dynamics based on fundamental statistical mechanics approaches. One of the most successful attempts in this context has been the development of CG models based on the Mori–Zwanzig (MZ) theory, where the resulting equation of motion has the form of a generalized Langevin equation (GLE) and closely preserves the underlying FG dynamics. In…

010304 chemical physicsComputer scienceMarkov processEquations of motionContext (language use)Statistical mechanics010402 general chemistry01 natural sciencesField (computer science)0104 chemical sciencesSurfaces Coatings and Filmssymbols.namesakeSimple (abstract algebra)0103 physical sciencesMaterials ChemistrysymbolsStatistical physicsLimit (mathematics)Physical and Theoretical ChemistryFocus (optics)
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