2012
DOI: 10.1007/978-1-62703-017-5_19
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Systematic Methods for Structurally Consistent Coarse-Grained Models

Abstract: This chapter provides a primer on theories for coarse-grained (CG) modeling and, in particular, reviews several systematic methods for determining effective potentials for CG models. The chapter first reviews a statistical mechanics framework for relating atomistic and CG models. This framework naturally leads to a quantitative criterion for CG models that are "consistent" with a particular atomistic model for the same system. This consistency criterion is equivalent to minimizing the relative entropy between … Show more

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Cited by 77 publications
(85 citation statements)
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“…[9][10][11][12] Irrespective of the resolution, many force-field parametrization methodologies aim at reproducing target properties of an underlying microscopic model. These might be thermodynamic data from bulk systems (such as pure-liquid density and heat of vaporization for atomistic models 13 ), or local interaction statistics (such as structure factors or pair forces 14 ). While they can help reproduce a number of thermodynamic properties, the model's transferability across both thermodynamic parameters (e.g., temperature, pressure) and environments (e.g., bulk vs. interface) often remains of concern.…”
Section: Introductionmentioning
confidence: 99%
“…[9][10][11][12] Irrespective of the resolution, many force-field parametrization methodologies aim at reproducing target properties of an underlying microscopic model. These might be thermodynamic data from bulk systems (such as pure-liquid density and heat of vaporization for atomistic models 13 ), or local interaction statistics (such as structure factors or pair forces 14 ). While they can help reproduce a number of thermodynamic properties, the model's transferability across both thermodynamic parameters (e.g., temperature, pressure) and environments (e.g., bulk vs. interface) often remains of concern.…”
Section: Introductionmentioning
confidence: 99%
“…The numerical implementation of this variational principle works in such a way that the exact many-body PMF (Equation (6)) is represented by a linear combination of basis functions that are functions of the CG site coordinates [14,15]. For a given configuration of the CG coordinates, in fact, the average of the total atomistic force f α acting on a CG site α is equal to the derivative of the many-body PMF:…”
Section: The Mapping Function and The Potential Of Mean Forcementioning
confidence: 99%
“…The force-matching strategy thus projects the true many-body PMF onto the basis of functions that are used to define the CG force-field; a thorough formal explanation of this interpretation can be found in Reference [14,15].…”
Section: The Mapping Function and The Potential Of Mean Forcementioning
confidence: 99%
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“…Simulations based on coarse-grained models can access longer time and length scales than their atomistic counterparts, allowing a bulk description of fluids. Coarse-grained models are commonly used to represent a simplified picture of large molecules, such as biomolecules [12][13][14][15][16], polymers [17][18][19][20][21][22], or liquid crystals [23][24][25][26][27][28]. Moreover, simulation results obtained from coarse-grained models can be directly compared with theoretical predictions that are based on a well-defined Hamiltonian, such as the family of perturbation theories developed from the statistical association fluid theory (SAFT) [29][30][31][32][33][34][35][36].…”
Section: Introductionmentioning
confidence: 99%