ISSN:
1572-9613
Keywords:
Analog simulation
;
non-Markovian process
;
periodic potential
;
velocity spectrum
;
colored noise
;
Brownian motion
;
Langevin equation
;
matrix-continued-fraction method
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Non-Markovian Brownian motion in a periodic potential is studied by means of an electronic analogue simulator. Velocity spectra, the Fourier transforms of velocity autocorrelation functions, are obtained for three types of random force, that is, a white noise, an Ornstein—Uhlenbeck process, and a quasimonochromatic noise. The analogue results are in good agreement both with theoretical ones calculated with the use of a matrix-continued-fraction method, and with the results of digital simulations. An unexpected extra peak in the velocity spectrum is observed for Ornstein-Uhlenbeck noise with large correlation time. The peak is attributed to a slow oscillatory motion of the Brownian particle as it moves back and forth over several lattice spaces. Its relationship to an approximate Langevin equation is discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01055716
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