Journal
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
Volume -, Issue -, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219876222500608
Keywords
Electrostatic free energy; generalized Poisson-Boltzmann equation; the first variation; ionic size; dielectric boundary force
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This paper investigates the size-modified electrostatic free energy in molecular solvation by considering the generalized Poisson-Boltzmann (PB) equation with uniform ionic and solvent molecular sizes. The first variation of the size-modified electrostatic free energy with respect to the location variation of the interface is derived using the concept of shape derivative. The explicit formula of the dielectric boundary force is obtained.
In molecular solvation, the size-modified electrostatic free energy is investigated. With the uniform ionic and solvent molecular sizes, the generalized Poisson-Boltzmann (PB) equation is considered. The first variation of the size-modified electrostatic free energy with respect to the location variation of the interface is derived. The concept of shape derivative is used to define such variations. The explicit formula of the dielectric boundary force is derived.
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