Spectral linesemitted by transitions from levels tion of screening length D was determined as follows. near the continuum may disappear within a plasma Using the variational method described in ref. [4], and because of two effects: (I) the broadening of the lines, recalling that, for a given n, the state with the smallest causing closely lying states to merge together and (2) 1 has the largest ...

K e y w o r d s Poisson-Boltzmann equation, Electrostatics in biology, Boundary conditions, Nonlinear partial differential equations, Finite-difference scheme. 1. I N T R O D U C T I O N Electrostatics is believed to play a pivotal role in regulating interactions between biological macromolecules, such as proteins and nucleic acids [1,2]. Specifically, the solvation contribution, that is the en...

A derivation of the relation between the vacancy formation energy E,, the migration energy E, and the Debye temperature 0c is presented. In the Debye model, the relation between E, and Bc follows directly from the “dynamical” form of diffusion theories. The relation between E, and Bc is obtained for solids obeying a corresponding states law. The Debye temperature appearing in the derived expres...

The fundamental Smoluchowski flocculation rate equations including the effects of polydispersity and particle-particle potentiM energy barrier have been solved for any initial particle size distribution. The procedure for the numerical solution of the set of nonlinear differential equations involved the combined use of the Runge-Kutta and the Hamming methods by the IBM 360 computer. It was assu...

In an electrostatic problem with nonuniform geometry, a charge Q in one region induces surface charges [called dielectric boundary charges (DBC)] at boundaries between different dielectrics. These induced surface charges, in return, exert a force [called dielectric boundary force (DBF)] on the charge Q that induced them. The DBF is often overlooked. It is not present in standard continuum theor...