Guiding center drift induced by homogenization

Jiann Sheng Jiang; Chi Kun Lin

doi:10.1142/S0218202511500278

Guiding center drift induced by homogenization

Jiann Sheng Jiang, Chi Kun Lin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.

Original language	English
Article number	1150027
Journal	Mathematical Models and Methods in Applied Sciences
Volume	22
Issue number	5
DOIs	https://doi.org/10.1142/S0218202511500278
Publication status	Published - May 2012
Externally published	Yes

Keywords

Guiding center
Radon measure
Volterra integral equation
homogenization
memory effect
two-scale convergence

Access to Document

10.1142/S0218202511500278

Cite this

@article{318b8510974a4c5dbeaa2fb0691b75af,

title = "Guiding center drift induced by homogenization",

abstract = "The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.",

keywords = "Guiding center, Radon measure, Volterra integral equation, homogenization, memory effect, two-scale convergence",

author = "Jiang, {Jiann Sheng} and Lin, {Chi Kun}",

note = "Funding Information: We thank the referee for a careful reading and valuable comments which have helped to improve the paper. This research was also supported in part by the National Science Council of Taiwan under the grants NSC98-2115-M-272-001 and NSC98-2115-M-009-004-MY3.",

year = "2012",

month = may,

doi = "10.1142/S0218202511500278",

language = "English",

volume = "22",

journal = "Mathematical Models and Methods in Applied Sciences",

issn = "0218-2025",

number = "5",

}

TY - JOUR

T1 - Guiding center drift induced by homogenization

AU - Jiang, Jiann Sheng

AU - Lin, Chi Kun

N1 - Funding Information: We thank the referee for a careful reading and valuable comments which have helped to improve the paper. This research was also supported in part by the National Science Council of Taiwan under the grants NSC98-2115-M-272-001 and NSC98-2115-M-009-004-MY3.

PY - 2012/5

Y1 - 2012/5

N2 - The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.

AB - The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.

KW - Guiding center

KW - Radon measure

KW - Volterra integral equation

KW - homogenization

KW - memory effect

KW - two-scale convergence

UR - http://www.scopus.com/inward/record.url?scp=84862806454&partnerID=8YFLogxK

U2 - 10.1142/S0218202511500278

DO - 10.1142/S0218202511500278

M3 - Article

AN - SCOPUS:84862806454

SN - 0218-2025

VL - 22

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 5

M1 - 1150027

ER -

Guiding center drift induced by homogenization

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this