By Wei Cai

A different and entire graduate textual content and reference on numerical equipment for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The cutting-edge numerical equipment defined contain:


• Statistical fluctuation formulae for the dielectric constant

• Particle-Mesh-Ewald, Fast-Multipole-Method and image-based response box strategy for long-range interactions

• High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and quantity fundamental tools in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots

• soaking up and UPML boundary stipulations

• High-order hierarchical Nédélec side parts

• High-order discontinuous Galerkin (DG) and Yee finite distinction time-domain tools

• Finite point and aircraft wave frequency-domain equipment for periodic buildings

• Generalized DG beam propagation process for optical waveguides

• NEGF(Non-equilibrium Green's functionality) and Wigner kinetic equipment for quantum transport

• High-order WENO and Godunov and significant schemes for hydrodynamic delivery

• Vlasov-Fokker-Planck and PIC and limited MHD delivery in plasmas

Show description

Read or Download Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvation, Scattering, and Electron Transport PDF

Similar electromagnetism books

Classical Charged Particles (Third Edition)

Initially written in 1964, this recognized textual content is a examine of the classical thought of charged debris. Many purposes deal with electrons as element debris. even as, there's a common trust that the speculation of aspect debris is beset with quite a few problems similar to an enormous electrostatic self-energy, a slightly uncertain equation of movement which admits bodily meaningless suggestions, violation of causality and others.

Electromagnetic Fields in Mechatronics, Electrical And Electronic Engineering: Proceedings of Isef'05 (Studies in Applied Electromagnetics and Mechanics) ... in Applied Electromagnetics and Mechanics)

An increasing number of researchers have interaction into research of electromagnetic functions, in particular those attached with mechatronics, info applied sciences, medication, biology and fabric sciences. it's conveniently noticeable while taking a look at the content material of the e-book that computational concepts, that have been lower than improvement over the past 3 a long time and are nonetheless being built, function strong instruments for locating new electromagnetic phenomena.

Practical gamma-ray spectrometry

The second one version of useful Gamma-Ray Spectrometry has been thoroughly revised and up-to-date, supplying accomplished insurance of the entire gamma-ray detection and spectrum research procedures. Drawn on a long time of educating event to supply this uniquely useful quantity, matters mentioned comprise the beginning of gamma-rays and the problem of caliber coverage in gamma-ray spectrometry.

Extra resources for Computational Methods for Electromagnetic Phenomena: Electrostatics in Solvation, Scattering, and Electron Transport

Sample text

There are different ways to solve this integral equation depending on how system V is arranged (whether confinement by a vacuum (Fr¨ ohlich, 1958) and the surrounding dielectrics (Neumann, 1983), or the geometry of the system, for example layered or spherical (Stern & Feller, 2003; Ballenegger & Hansen, 2005)). Let us assume a periodic system with a truncated dipole interaction. 116) (Neumann, 1983) when the Fourier series of P(r) is defined as 1 ˆ P(k) = |V | P(r)e−ik·r dr. 117) in the Fourier space becomes ˆ δ (k)P(k) ˆ ˆ ˆ ext (k) + T .

VMD is developed with NIH support by the Theoretical and Computational Biophysics group at the Beckman Institute, UIUC. inside the solute. The solute boundary Γ is defined by the molecular surface (see Fig. 1, which was produced using visual molecular dynamics (VMD) software (Humphrey, Dalke, & Schulten, 1996)), employing either the van der Waals (vdW) surface (composed of the sum of overlapping vdW spheres), or the solvent accessible surface (SAS) (generated by rolling a small sphere on the vdW surface) (Lindskog, 1997).

Therefore, the total work required to effect the complete coupling of the ion to the solvent can be additively computed as 1 λqΦrf (0, 1)dλ. 44), we obtain the well-known Born formula for the electrostatic solvation energy: ΔGBorn pol = 1 1 q2 4π 2 a 1 o − 1 . 44), the effect of the coupling parameter λ can be viewed equivalently as a scaling factor of the ion charge. Therefore, this coupling process can also be considered as a charging process, first proposed by Onsager (1933) and Kirkwood (1935), where λ = 0 is the uncharged state and λ = 1 is the fully charged state.

Download PDF sample

Rated 4.62 of 5 – based on 4 votes