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A review of magnetic insulation
Una revisión del fenómeno de aislamiento magnético
DOI:
https://doi.org/10.15446/ing.investig.v27n3.14857Keywords:
magnetic insulation, power flow, stationary flow, Child-Langmuir condition, plane vacuum diode, Vlasov-Maxwell solutions, upper and lower solutions (en)aislamiento magnético, flujo de potencia, flujo estacionario, condición de Child-Langmuir, diodo plano al vacío, sistema Vlasov-Maxwell, soluciones superiores e inferiores (es)
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High energy devices are designed to work with extremely high electric and magnetic fields. As a consequence, these devices show non-linear phenomena and behavior, such as magnetic insulation which alters electron trajectory. A mathematical analysis and review of magnetic insulation were carried out as a consequence of nonlinearity to find frontier conditions and solutions to the problem. This paper was aimed at presenting the topic in a way which is easier for that part of the academic community which is unfamiliar with it to understand it. The paper gives a description of the phenomena developed by high electric and magnetic fields in a vacuum plane diode, some equations modelling the phenomenon, proves its existence and finds positive solutions based on upper and lower solutions for boundary limit problems and gives some practical applications.
Los dispositivos de alta energía son diseñados para que funcionen con campos eléctricos y magnéticos extremadamente altos. Debido a esto, dichos dispositivos presentan fenómenos y comportamientos no lineales, como el aislamiento magnético que altera el transporte de los electrones. La no linealidad ha obligado a analizar y revisar desde el punto de vista matemático las condiciones de frontera y las soluciones del problema. El objetivo de este trabajo es exponer el tema a un nivel que facilite su difusión entre la comunidad académica no familiarizada con el mismo. Para ello, el trabajo presenta una descripción de los fenómenos que se generan cuando hay campos eléctricos y magnéticos muy altos, tomando el caso de un diodo plano al vacío, así como las ecuaciones que modelan el fenómeno de aislamiento magnético; también demuestra la existencia de las soluciones y encuentra las positivas en base a los métodos de solución superior e inferior para problemas de valor de frontera, y proporciona algunos ejemplos de aplicación del fenómeno de aislamiento magnético.
References
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Copyright (c) 2007 Zósimo Arévalo Velosa, Alexander V. Sinitsyn, Octavio Alejandro Castañeda U., Miguel Hernando Camelo B.
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