Summary
The noise associated with ion transport through porous membranes is considered as a diffusion process. This is confirmed experimentally by measuring the noise spectra associated with pores of known dimension. It is then shown that one dimensional diffusion through pores of variable length can produce approximate 1/f noise spectra, if the distribution of lengths is proportional to (length)−1.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Burgess, R.E. 1953. Contact noise in semiconductors.Proc. Phys. Soc. London Sect. B 66:334
Dorset, D.L., Fishman, H.M. 1975. Excess electrical noise during current flow through porous membranes separating ionic solutions.J. Membrane Biol. 21:291
du Pre, F.K. 1950. A suggestion regarding the spectral density of flicker noise.Phys. Rev. 78:615
Feher, G., Weissman, M. 1975. Observation of energy (thermal) fluctuations in an electrolytic solution.J. Chem. Phys. 63:586
Fishman, H. 1973. Relaxation spectra of potassium channel noise from squid axon membranes.Proc. Nat. Acad. Sci. USA 70:876
Green, M.E. 1973. Noise spectra of ion transport across an anion membrane.J. Phys. Chem. 78:761
Handel, P.H. 1971. Turbulence theory for the current carriers in solids and a theory of 1/f noise.Phys. Rev. A 3:2066
Hooge, F.N., Gaal, J.L.M. 1971. Fluctuations with a 1/f spectrum in the conductance of ionic solutions and in the voltage of concentration cells.Philips Res. Rep. 26:77
Hoppenbrouwers, A.M.H., Hooge, F.N. 1970. 1/f Noise of spreading resistances.Philips Res. Rep. 25:69
Lax, M., Mengert, P. 1960. Influence of trapping, diffusion, and recombination on carrier concentration fluctuations.Phys. Chem. Solids 14:248
MacFarlane, G.G. 1950. A theory of contact noise in semiconductors.Proc. Phys. Soc. London Sect. B 63:807
Poussart, D.J.M. 1971. Membrane current noise in lobster axon under voltage clamp.Biophys. J. 11:211
Siebenga, E., Verveen, A.A. 1972. Membrane noise and ion transport in the node of ranvierIn: Biomembranes. F. Kreuzer and J.F.G. Slegers, editors. Vol. 3, p. 473. Plenum, New York
Tchen, C.M. 1973a. Repeated cascade theory of homogeneous turbulence.Phys. Fluids. 16:13
Tchen, C.M. 1973b. Repeated cascade theory of turbulence in an inhomogeneous plasma.Phys. Rev. A8:500
Teitler, S., Osborne, M.F.M. 1971. Similarity arguments and an inverse-frequency noise spectrum for electrical conductors.Phys. Rev. Lett. 27:912
van der Ziel, A. 1950. On the spectrum of semiconductor noise and of flicker effect.Physica (The Hague) 16:359
van Vliet, K.M., Fassett, J.R. 1965. Fluctuations due to electronic transitions and transport in solids.In: Fluctuation Phenomena in Solids. R.E. Burgess, editor. Chap. VII. Academic Press, New York
Verveen, A.A., de Felice, L.J. 1974. Membrane Noise.Prog. Biophys. Mol. Biol. 28:189
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Green, M.E. Diffusion and 1/f noise. J. Membrain Biol. 28, 181–186 (1976). https://doi.org/10.1007/BF01869696
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01869696