Destruction of discrete charge

Nature ◽  
2016 ◽  
Vol 536 (7614) ◽  
pp. 38-39
Author(s):  
Yuli V. Nazarov
Keyword(s):  
Discrete Charge

Simulation study on discrete charge effects of SiNW biosensors according to bound target position using a 3D TCAD simulator

2012 ◽  
Vol 23 (6) ◽  
pp. 065202 ◽  
Author(s):  
In-Young Chung ◽  
Hyeri Jang ◽  
Jieun Lee ◽  
Hyunggeun Moon ◽  
Sung Min Seo ◽  
...  
Keyword(s):  
Simulation Study ◽  
Target Position ◽  
Charge Effects ◽  
Discrete Charge

Compact splitting symplectic scheme for the fourth-order dispersive Schrödinger equation with Cubic-Quintic nonlinear term

2019 ◽  
Vol 10 (02) ◽  
pp. 1950007 ◽  
Author(s):  
Lang-Yang Huang ◽  
Zhi-Feng Weng ◽  
Chao-Ying Lin
Keyword(s):  
Schrödinger Equation ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Nonlinear Term ◽  
Order Accuracy ◽  
Numerical Examples ◽  
Splitting Technique ◽  
Symplectic Scheme ◽  
Theoretical Results ◽  
Discrete Charge

Combining symplectic algorithm, splitting technique and compact method, a compact splitting symplectic scheme is proposed to solve the fourth-order dispersive Schrödinger equation with cubic-quintic nonlinear term. The scheme has fourth-order accuracy in space and second-order accuracy in time. The discrete charge conservation law and stability of the scheme are analyzed. Numerical examples are given to confirm the theoretical results.

Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

2013 ◽  
Vol 14 (2) ◽  
pp. 393-411 ◽  
Author(s):  
Shanshan Jiang ◽  
Lijin Wang ◽  
Jialin Hong
Keyword(s):  
Solitary Wave ◽  
Recurrence Relation ◽  
Conservation Law ◽  
Numerical Experiments ◽  
Symplectic Structure ◽  
Symplectic Method ◽  
Symplectic Integrator ◽  
Discrete Energy ◽  
Nonlinear Schrödinger ◽  
Discrete Charge

AbstractIn this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations, and develop a stochastic multi-symplectic method for numerically solving a kind of stochastic nonlinear Schrödinger equations. It is shown that the stochastic multi-symplectic method preserves the multi-symplectic structure, the discrete charge conservation law, and deduces the recurrence relation of the discrete energy. Numerical experiments are performed to verify the good behaviors of the stochastic multi-symplectic method in cases of both solitary wave and collision.

Effects of Discrete Charge Clustering in Simulations of Charged Interfaces

2010 ◽  
Vol 6 (10) ◽  
pp. 3205-3211 ◽  
Author(s):  
John M. A. Grime ◽  
Malek O. Khan
Keyword(s):  
Discrete Charge

scholarly journals Discrete charge patterns, Coulomb correlations and interactions in protein solutions

2002 ◽  
Vol 57 (5) ◽  
pp. 731-737 ◽  
Author(s):  
E Allahyarov ◽  
H Löwen ◽  
A. A Louis ◽  
J. P Hansen
Keyword(s):  
Protein Solutions ◽  
Coulomb Correlations ◽  
Discrete Charge

ENERGETICS AND STABILITY OF DISCRETE CHARGE DISTRIBUTION ON THE SURFACE OF A SPHERE

2001 ◽  
Vol 12 (02) ◽  
pp. 293-305 ◽  
Author(s):  
HÜSEYIN OYMAK ◽  
ŞAKIR ERKOÇ
Keyword(s):  
Energy Distribution ◽  
Coulomb Potential ◽  
Energy State ◽  
Minimum Energy ◽  
Energy Distributions ◽  
Tangential Forces ◽  
Energy Consideration ◽  
Minimum Energy State ◽  
A Charge ◽  
Discrete Charge

We have investigated the minimum-energy distribution of N, 3 ≤ N ≤ 97, equal point charges confined to the surface of a sphere. Charges interact with each other via the Coulomb potential of the form 1/r. Minimum-energy distributions have been determined by minimizing the tangential forces on each charge. Further numerical evidence shows that in the minimum-energy state of N charges on the sphere, it is not possible to place a charge at the geometrical center. Besides, it has been found that the most and reliable information about the relative stability properties of the distributions can be obtained with the help of second difference energy consideration.

DISCRETE GAUGE THEORIES

1991 ◽  
Vol 05 (16n17) ◽  
pp. 2641-2673 ◽  
Author(s):  
MARK G. ALFORD ◽  
JOHN MARCH-RUSSELL
Keyword(s):  
Gauge Theory ◽  
Order Parameter ◽  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Abelian Gauge ◽  
Gauge Symmetries ◽  
Lattice Gauge ◽  
Super Conducting ◽  
The Relationship ◽  
Discrete Charge

In this review we discuss the formulation and distinguishing characteristics of discrete gauge theories, and describe several important applications of the concept. For the abelian (ℤN) discrete gauge theories, we consider the construction of the discrete charge operator F(Σ*) and the associated gauge-invariant order parameter that distinguishes different Higgs phases of a spontaneously broken U(1) gauge theory. We sketch some of the important thermodynamic consequences of the resultant discrete quantum hair on black holes. We further show that, as a consequence of unbroken discrete gauge symmetries, Grand Unified cosmic strings generically exhibit a Callan-Rubakov effect. For non-abelian discrete gauge theories we discuss in some detail the charge measurement process, and in the context of a lattice formulation we construct the non-abelian generalization of F(Σ*). This enables us to build the order parameter that distinguishes the different Higgs phases of a non-abelian discrete lattice gauge theory with matter. We also describe some of the fascinating phenomena associated with non-abelian gauge vortices. For example, we argue that a loop of Alice string, or any non-abelian string, is super-conducting by virtue of charged zero modes whose charge cannot be localized anywhere on or around the string (“Cheshire charge”). Finally, we discuss the relationship between discrete gauge theories and the existence of excitations possessing exotic spin and statistics (and more generally excitations whose interactions are purely “topological”).

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