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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.09531 |
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| _version_ | 1866913837128613888 |
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| author | Timoshenko, Edward G. |
| author_facet | Timoshenko, Edward G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09531 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Super Gaussian Self-Consistent method for systems with a two-body Hamiltonian Timoshenko, Edward G. Statistical Mechanics 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. |
| title | Super Gaussian Self-Consistent method for systems with a two-body Hamiltonian |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2505.09531 |