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Related Concept Videos

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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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Many-Body Coarse-Grained Interactions Using Gaussian Approximation Potentials.

S T John1,2, Gábor Csányi3

  • 1Department of Physics, Cavendish Laboratory, University of Cambridge , Cambridge CB3 0HE, United Kingdom.

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|November 10, 2017
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Summary
This summary is machine-generated.

We developed a computational framework for coarse-grained (CG) molecular modeling. Our machine learning approach accurately captures many-body interactions, improving free energy calculations beyond simple pair potentials.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Statistical Mechanics

Background:

  • Coarse-grained (CG) models simplify molecular complexity for large-scale simulations.
  • Traditional CG models often rely on pair potentials, limiting accuracy for many-body interactions.
  • Accurate free energy calculations are crucial for understanding molecular behavior and predicting material properties.

Purpose of the Study:

  • To introduce a novel computational framework for describing general many-body coarse-grained interactions.
  • To model the free energy surface of molecular liquids using a cluster expansion.
  • To enhance the accuracy of CG models by incorporating higher-order interaction terms.

Main Methods:

  • Developed a computational framework for many-body CG interactions.
  • Modeled free energy surfaces as cluster expansions (monomer, dimer, trimer terms).
  • Inferred free energy contributions from all-atom molecular dynamics (MD) data using Gaussian Approximation Potentials (GAP), a machine learning model based on Gaussian process regression.

Main Results:

  • The developed CG model significantly improves accuracy compared to models using only pair potentials.
  • The framework successfully captures monomer, dimer, and trimer contributions to the free energy.
  • The CG model, while computationally intensive, can be faster than all-atom simulations for specific applications.

Conclusions:

  • The new computational framework provides a more accurate description of many-body CG interactions.
  • This approach advances the accuracy of free energy calculations in molecular liquids.
  • The method offers a promising alternative for efficient and accurate molecular simulations, particularly in biomolecular contexts.