The random walk of an electrostatic field using parallel infinite charged planes



Document title: The random walk of an electrostatic field using parallel infinite charged planes
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000383948
ISSN: 0035-001X
Authors: 1
2
3
Institutions: 1Instituto Tecnológico y de Estudios Superiores de Occidente, Tlaquepaque, Jalisco. México
2Centro de Investigación en Matemáticas A.C., Mérida, Yucatán. México
3Universidad Autónoma de San Luis Potosí, Coordinación para la Innovación y la Aplicación de la Ciencia y la Tecnología, San Luis Potosí. México
Year:
Season: May-Jun
Volumen: 61
Number: 3
Pages: 154-159
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract We show that it is possible to generate a random walk with an electrostatic field by means of several parallel infinite charged planes in which the surface charge distribution could be either ±ó. We formulate the problem of this stochastic process by using a rate equation for the most probable value for the electrostatic field subject to the appropriate transition probabilities according to the electrostatic boundary conditions. Our model gives rise to a stochastic law when the charge distribution is not deterministic. The probability distribution of the electrostatic field intensity, the mean value of the electrostatic force and the energy density are obtained
Disciplines: Física y astronomía
Keyword: Electromagnetismo,
Caminata al azar,
Cadenas de Markov,
Campo electrostático
Keyword: Physics and astronomy,
Electromagnetism,
Random walk,
Markov chains,
Electrostatic field
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