2003
DOI: 10.1002/jcc.10307
|View full text |Cite
|
Sign up to set email alerts
|

Deriving effective mesoscale potentials from atomistic simulations

Abstract: We demonstrate how an iterative method for potential inversion from distribution functions developed for simple liquid systems can be generalized to polymer systems. It uses the differences in the potentials of mean force between the distribution functions generated from a guessed potential and the true distribution functions to improve the effective potential successively. The optimization algorithm is very powerful: convergence is reached for every trial function in few iterations. As an extensive test case … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

6
1,547
0
7

Year Published

2010
2010
2017
2017

Publication Types

Select...
6
2

Relationship

0
8

Authors

Journals

citations
Cited by 1,182 publications
(1,560 citation statements)
references
References 34 publications
6
1,547
0
7
Order By: Relevance
“…However, in practice the convergence is difficult to achieve and varies for different parts of the potential. 39,48 Especially attractive parts require an extensive number of iterations whereas repulsive parts converge relatively fast. Nevertheless, g ref (r) is reproduced with a good accuracy already after a small number of iterations.…”
Section: Coarse Grained Potentialsmentioning
confidence: 99%
“…However, in practice the convergence is difficult to achieve and varies for different parts of the potential. 39,48 Especially attractive parts require an extensive number of iterations whereas repulsive parts converge relatively fast. Nevertheless, g ref (r) is reproduced with a good accuracy already after a small number of iterations.…”
Section: Coarse Grained Potentialsmentioning
confidence: 99%
“…3 It is motivated by Henderson's theorem 11 which states that there is a unique mapping between the radial distribution function (g(r)) and the intermolecular potential (V) for simple pairwise additive and spherically symmetric potentials at a given thermodynamic state point: 12 = − V k T g r ln( ( )) B (1) eq 1 is actually a potential of mean force and it equals the potential energy only in the limit of infinite dilution. 10 According to Chan et al 12 this is only valid for particles or molecules with a single interaction site rather than molecules with multiple interaction sites (like polymers) since the relation does not account for orientation correlations. However, this does not prohibit its use in the iteration algorithm (see eq 5) for the coarse-graining of polymeric systems with IBI, as the algorithm just serves as a numerical path among many possible ones that yield one effective CG potential by satisfying the condition that the trial CG potential converges when the corresponding conformational distribution matches the reference distribution in the atomistic simulations 12 and no uniqueness is assumed.…”
Section: Introductionmentioning
confidence: 99%
“…The DBI, IBI and IMC methods use the pair correlation function g (2) (Q) and the assumption that the interactions depend only on the distance R between particles, that is g (2) (Q) =:ḡ(R). Thus the CG effective interaction is given bȳ…”
Section: Parametrizations At Equilibrium and Potential Of Mean Forcementioning
confidence: 99%
“…In IBI methods, [2], an iterative numerical minimization problem is introduced based onḡ(R). The (pair) CG potential is refined at the iteration (i + 1) according to the following scheme:…”
Section: Parametrizations At Equilibrium and Potential Of Mean Forcementioning
confidence: 99%
See 1 more Smart Citation