# Super Gaussian Self-Consistent method for systems with a two-body Hamiltonian

Source: [Super Gaussian Self-Consistent method for systems with a two-body Hamiltonian](<https://www.sota2.com/research/paper/68fa4a461e209131ce93d442>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T07:45:53.824Z

Authors: Edward G. Timoshenko

Published: 2025-05-14T16:25:47.000Z

## Abstract

A new kinetic self-consistent method is presented based on the proposed Gaussian Superposition Principle for computation of ensemble averaged observables of a macromolecule interacting via two-body forces. The latter leads to the derivation of a natural functional closure relation for the 3-point distribution functions (DF), thereby truncating a hierarchy of kinetic equations obtained from the original Langevin equation. The resulting Super Gaussian Self-Consistent (SGSC) equations for the 2-point distribution functions acquire a sufficiently tractable integro-differential form. The SGSC theory strives to yield realistic shapes of various distribution functions for any macromolecule with a generic Hamiltonian involving 2-body interaction potentials, both at equilibrium and during kinetics.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2505.09531>)

[PDF](<https://arxiv.org/pdf/2505.09531.pdf>)