The Langevin equation : with applications in physics, chemistry and electrical engineering

W T Coffey, Yu P Kalmykov, J T Waldron

Suitable for lecture courses on the Brownian motion, this study includes coverage of the following topics: White noise; the Chapman-Kolmogorov equation - Kramers-Moyal expansion; Langevin equation; Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Weiner-Khintchin theorem - Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two-dimension; harmonic oscillator, itinerant oscillator; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism; and nonlinear relaxation processes.

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[目次]

  • The concept of a random process
  • the Brownian motion of a free particle - the velocity distribution
  • the Brownian motion of a free particle - the distribution of the displacements
  • one-dimensional Brownian motion in a potential excluding inertia effects
  • the multi-dimensional Langevin equation
  • rotational Brownian motion application to relaxation and loss processes in electric and magnetic fields.

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この本の情報

書名 The Langevin equation : with applications in physics, chemistry and electrical engineering
著作者等 Coffey, William
Kalmykov, Yu. P.
Waldron, J. T.
Kalmykov Yuri P.
Coffey William T.
シリーズ名 World Scientific series in contemporary chemical physics
出版元 World Scientific
刊行年月 c1996
ページ数 xiii, 413 p.
大きさ 23 cm
ISBN 9810216513
NCID BA28253185
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言語 英語
出版国 シンガポール
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