WebAs a result, the MscaleDNNs achieve fast uniform convergence over multiple scales. The proposed MscaleDNNs are shown to be superior to traditional fully connected DNNs and be an effective mesh-less numerical method for Poisson-Boltzmann equations with ample frequency contents over complex and singular domains. WebThis equation is called the Poisson-Boltzmann Equation. It describes the self-consistent mean electric field generated by the mean ion concentrations in Boltzman equilibrium in the potential. In summary, if the Debye length is much smaller than the geometrical scale size, then the electrolyte breaks into two distinct regions: a quasineutral bulk solution and thin …

Poisson-Boltzmann theory是什么意思_Poisson-Boltzmann theory …

WebMar 29, 2024 · We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the … The Poisson–Boltzmann equation is a useful equation in many settings, whether it be to understand physiological interfaces, polymer science, electron interactions in a semiconductor, or more. It aims to describe the distribution of the electric potential in solution in the direction normal to a charged … See more Background and derivation The Poisson–Boltzmann equation describes a model proposed independently by Louis Georges Gouy and David Leonard Chapman in 1910 and 1913, respectively. In the See more Because the Poisson–Boltzmann equation is a partial differential of the second order, it is commonly solved numerically; however, with certain geometries, it can be solved analytically. Geometries The geometry that … See more As with any approximate model, the Poisson–Boltzmann equation is an approximation rather than an exact representation. Several assumptions were made to approximate the potential of the diffuse layer. The finite size of the ions was considered … See more • Adaptive Poisson–Boltzmann Solver – A free, open-source Poisson-Boltzmann electrostatics and biomolecular solvation software package See more The high-potential case is referred to as the “full one-dimensional case”. In order to obtain the equation, the general solution to the … See more The Poisson–Boltzmann equation can be applied in a variety of fields mainly as a modeling tool to make approximations for applications such as charged biomolecular interactions, … See more • Double layer See more citrus blight symptoms

Phân phối Poisson – Wikipedia tiếng Việt

WebThe Poisson–Boltzmann equation is a useful equation in many settings, whether it be to understand physiological interfaces, polymer science, electron interactions in a … WebIn contrast to the expression of the chemical literature, the The Poisson-Boltzmann theory (Davis and McCammon, "Eyring" high barrier expression (of traditional barrier mod- 1990; Honig and Nichols, 1995) is not a useful description Chen et al. Permeation Through the Calcium Release Channel 1 339 of open channels, because it assumes zero flux. WebThe Linearized Poisson--Boltzmann (LPB) equation is a popular and widely accepted model for accounting solvent effects in computational (bio-) chemistry. In the present article we derive the analytical forces of the domain-decomposition-based ddLPB-method with vdW or SAS surface. citrus bomb