Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Random current flow through the rough surface

Keywords:

L.K. Martinson – Dr.Sc. (Phys.-Math.), Professor, Department of «Physics», Bauman Moscow State Technical University А.N. Morozov – Dr.Sc. (Phys.-Math.), Professor, Head of Department of «Physics», Bauman Moscow State Technical University. E-mail: amor59@mail.ru А.V. Skripkin – Ph.D. (Phys.-Math.), Associate Professor, Department of «Physics», Bauman Moscow State Technical University. E-mail: skripkin@bmstu.ru


The paper deals with the flow of random (thermal) current through a rough surface, characterized by fractal properties. A description of the fractal properties of the surface is produced by the model of the Cantor set. Using the expression for the impedance of such a surface, the generalized Ohm’s law in the form of an integral operator is found. For the case of thermal fluctuations of the current through the surface is the power spectral density of voltage fluctuations on it is defined. It is shown that the spectral density is related to one type of the color noises.
References:

 

  1. Glagolev K.V., Morozov A.N. Fizicheskaja termodinamika. M.: Izd-vo MGTU im. N.EH. Baumana. 2007. 272 s.
  2. Landau L.D., Lifshic E.M. Gidrodinamika. M.: Nauka. 1986. 736 s.
  3. Pugachev V.S., Sinicyn I.N. Stokhasticheskie differencialnye sistemy. M.: Nauka. 1990. 632 s.
  4. Morozov A.N. Neobratimye processy i brounovskoe dvizhenie. M.: Izd-vo MGTU im. N.EH.Baumana. 1997. 332 s.
  5. MorozovA.N., Skripkin A.V. Spherical particle Brownian motion in viscous medium as non-Markovian random process // Physics Letters A. 2011. V. 375. P. 4113–4115.
  6. Morozov A.N., Skripkin A.V. Rasprostranenie tepla v prostranstve vokrug cilindricheskojj poverkhnosti kak nemarkovskijj sluchajjnyjj process // Inzhenerno-fizicheskijj zhurnal. 2011. T. 84. № 6. S. 1121–1127.
  7. Morozov A.N., Skripkin A.V. Opisanie isparenija sfericheskojj chasticy zhidkosti kak nemarkovskogo sluchajjnogo processa s ispolzovaniem integralnykh stokhasticheskikh uravnenijj // Izvestija VUZov. Fizika. 2010. T. 53. № 11. S. 55–64.
  8. Morozov A.N., Skripkin A.V. Opisanie fluktuacijj intensivnosti ljuminescencii kak nemarkovskogo sluchajjnogo processa // Nelinejjnyjj mir. 2010. T. 8. №9. S. 545–553.
  9. Liu S., Kaplan T., Grehjj P. V sb.: Fraktaly v fizike / pod red. L. Petronero, EH. Tozatti. M.: Mir. 1988. S. 543.
  10. Potapov A.A. Fraktaly v radiofizike i radiolokacii: Topologija vyborki. M.: Universitetskajakniga. 2005. 848 s.

 

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio