Abstract
The instrumental role is discussed of causality and microscopic reversibility in determining the stochastic properties of the Langevin force in linear and nonlinear Langevin equations.
Preview
Unable to display preview. Download preview PDF.
References
A. Einstein, Ann. Phys., 17, 549 (1905); 19, 371 (1906).
M. v. Smoluchowski, Ann. Phys., 21, 766 (1906).
P. Langevin; Compt. Rend., 146, 530 (1908).
T. Gouy; Compt. Rend., 109, 102 (1889).
J. Perrin; J. Ann. Chim. Phys., 18, 5 (1909).
G.E. Uhlenbeck and L.S. Ornstein; Phys. Rev., 34, 823 (1930).
See e.g. N.G. v. Kampen, “Stochastic Processes in Physics and Chemistry”, North Holland, Amsterdam, 1992.
P. Mazur; Phys. Rev., A15, 8957 (1992). (I)
P. Mazur and D. Bedeaux; Physica A173, 155 (1991). (II) See also erratum Physica A188, 693 (1992).
P. Mazur and D. Bedeaux; Langevin 8, 2947 (1992). (III)
See e.g. S.R. de Groot and P. Mazur, “Non Equilibrium Thermodynamics”, Dover, New York, 1983.
K. Itô; Proc. Imp. Acad. (Tokyo) 20, 519 (1944); Mem. Am. Math. Soc. 4, 51 (1951).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag
About this paper
Cite this paper
Mazur, P. (1995). Brownian motion theory: Properties of nonlinear Langevin equations. In: Brey, J.J., Marro, J., Rubí, J.M., San Miguel, M. (eds) 25 Years of Non-Equilibrium Statistical Mechanics. Lecture Notes in Physics, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59158-3_34
Download citation
DOI: https://doi.org/10.1007/3-540-59158-3_34
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59158-0
Online ISBN: 978-3-540-49203-0
eBook Packages: Springer Book Archive