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Displaying similar documents to “Calculation of the free energy in a simple model”

On the mixed even-spin Sherrington–Kirkpatrick model with ferromagnetic interaction

Wei-Kuo Chen (2014)

Annales de l'I.H.P. Probabilités et statistiques

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We study a spin system with both mixed even-spin Sherrington–Kirkpatrick (SK) couplings and Curie–Weiss (CW) interaction. Our main results are: (i) The thermodynamic limit of the free energy is given by a variational formula involving the free energy of the SK model with a change in the external field. (ii) In the presence of a centered Gaussian external field, the positivity of the overlap and the extended Ghirlanda–Guerra identities hold on a dense subset of the temperature parameters....

Role of Dispersion Attraction in Differential Geometry Based Nonpolar Solvation Models

Zhan Chen (2015)

Molecular Based Mathematical Biology

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Differential geometry (DG) based solvation models have shown their great success in solvation analysis by avoiding the use of ad hoc surface definitions, coupling the polar and nonpolar free energies, and generating solvent-solute boundary in a physically self-consistent fashion. Parameter optimization is a key factor for their accuracy, predictive ability of solvation free energies, and other applications. Recently, a series of efforts have been made to improve the parameterization...