Models and Theories of 1/f (One-Over-F) Noise

2007

• Giancarlo Cavalleri, Leonardo Bosi (2007), "Origin of 1/f noise as a runaway phenomenon due to the zeropoint field (ZPF) of quantum electrodynamics (QED)", Physica Status Solidi (C), 4(3):1230-1233.
  [abstract]

• CL L Pando, EJ Doedel (2007), "1/f noise in a thin stochastic layer described by the discrete nonlinear Schrodinger equation", Physical Review E, 75:016213.

2006

• L. Bosi, G. Cavalleri and G. Mauri (2006) " On Stephany's theory of origin of 1/f bulk noise", Il Nuovo Cimento D, 16(6):537-541.
  [abstract]

• Bronislovas Kaulakys, Julius Ruseckas, Vygintas Gontis and Miglius Alaburd (2006), "Nonlinear stochastic models of 1/f noise and power-law distributions", Physica A, 365(1):217-221.
  [abstract]

• Giovanni Zanella (2006), "1/f noise from the coincidences of similar single-sided random telegraph signals", arxiv preprint, physics/0607044.
  [ abstract]

2005

• B Kaulakys, V Gontis, M Alaburda (2005), "Point process model of 1/f noise vs a sum of Lorentzians", Physical Review E, 71(5):051105.
  [abstract]

• J Nagler, JC Claussen (2005), "1/f^alpha spectra in elementary cellular automata and fractal signals", Physical Review E, 71:067103.

• Giovanni Zanella (2005), "Superposition of similar single-sided RTN processes and 1/f noise", arXiv preprint, physics/0504164.
  [ abstract]

2004

• V Gontis, B Kaulakys, M Alaburda, J Ruseckas (2004), "Evolution of complex systems and 1/f noise: from physics to financial markets, Solid State Phenomena, Vol.97-98 pp.65-70 (Trans Tech Publications, Switzerland).

• Ferdinand Gruneis (2004), "Random walks, self-avoiding walks and 1/f noise on finite lattices", Fluctuation and Noise Letters, 4(3):L413-L424.

• B Kaulakys, J Ruseckas (2004), "Stochastic nonlinear differential equation generating 1/f noise", Physical Review E, 70(2):020101

2003

• M Alaburda, B Kaulakys (2003), "1/f noise in point processes and its modelling by stochastic difference equations, Lithuania Journal of Physics, 43(6):415-418.

• JL Urrutia-Galicia (2003), " 'The best manifold theory': interpretation of time dep. functions. Application to seismic engineering", Berichte aus dem Konstruktiven Ingenieurbau, Universitat der Bundeswehr Munchen, vol 03/2 (Autor) (ISSN 1431-5122).
  [ download the paper from: http://www.ingenieria.unam.mx/~revistafi/ ]

• Y Okamoto, H Akabane, M Agu (2003), "f^-a fluctuation in nonintegral dimensional diffusion system", Japanese Journal of Applied Physics, 42 (5A):2887-2893.

• S Popescu, E Lozneanu, M Sanduloviciu (2003), "Self-organized complex space charge configurations at the origin of flicker noise", Chaos, Solitons & Fractals, 17(2-3):203-207.

• J Ruseckas, B Kaulakys, M Alaburda (2003), "Modelling of 1/f noise by sequences of stochastic pulses of different duration, Lithuania Journal of Physics, 43(4):223-228.

• Giovanni Zanella (2003), "Co-operation of two-state processes and 1/f noise", arxiv preprint, physics/0307011.
  [abstract]

2002

• J Davidsen, HG Schuster (2002), "Simple model for 1/f(alpha) noise", Physical Review E, 65(2):026120.

• L Du, YQ Zhuang, LJ Xue (2002), "A unified model for 1/f noise and 1/f² noise due to electromigration in metal film", Acta Physica Sinica, 51(12):2836-2841.

2001

• T Antal, M Droz, G Gyorgyi, Z Racz (2001), "1/f noise and extreme value statistics", Physical Review Letters, 87(24):240601.
  [ PDF]

• Ferdinand Gruneis (2001), "1/f noise, intermittency and clustering Poisson process", Fluctuation and Noise Letters, 1(2):R119-R130.

• Gisela Hartler (2001), "Statistical explanation for the observation of 1/f noise from basically discrete fluctuations", Fluctuation and Noise Letters, 1(3):L139-L146.

2000

• H Akabane, Y Okamoto, M Agu (2000), "1/f fluctuation in a discrete one-dimensional diffusion system", Japanese Journal of Applied Physics, 39(7A):4241-4244.

• Tatiana Alieva, Andre Barbe (2000), "Macroscopic 1/f behavior of fractal signals generated by additive substitution", IEEE Transactions on Information Theory, 46(6):2261-2268.

• Jorn Davidsen, Heinz Georg Schuster (2000), "1/f^a noise from self-organized critical models with uniform driving", Physical Review E, 62(5):6111-6115.
  [abstract]

• B Kaulakys (2000), "On the inherent origin of 1/f noise", Lithuania Journal of Physics, 40(4):281-286.

• B Kaulakys (2000), "On the intrinsic origin of 1/f noise", Microelectronics Reliability, 40(11):1787-1790.

• B Kaulakys, T Meskauskas (2000), "Models for generation of 1/f noise", Microelectronics Reliability, 40(11):1781-1785.

• B Pellegrini (2000), "A general model of 1/f^a noise", Microelectronics Reliability, 40(11):1775-1780.

1999

• B Kaulakys (1999), "Autoregressive model of 1/f noise", Physics Letters A, 257(1/2):37-42.
  [ abstract] [ PDF ]

• Yu E Kuzovlev (1999), "Kinetical theory beyond conventional approximations and 1/f noise", preprint.
  [ PDF ]

1998

• B Kaulakys and T Meskauskas (1998), "Modeling 1/f noise", Physical Review E, 58(6):7013-7019.
  [ abstract]

1997

• FN Hooge (1997), "40 years of 1/f noise modelling", in Proceedings of 14th International Conference on Noise in Physical Systems and 1/f Fluctuations (World Scientific), pp 3-10.

• Yu E Kuzovlev (1997), "Relaxation and 1/f-noise in phonon systems", Journal of Experimental and Theoretical Physics (Zhurnal eksperimental'noi i teoreticheskoi fiziki) , 111(6):2086-?. English translation: Sov.Phys.JETP, 84(6), 1138 (1997).

1995

• Edoardo Milotti (1995), "Linear processes that produce 1/f or flicker noise", Physical Review E, 51:3087-3103.
  [abstract]

1994

• Yu E Kuzovlev (1994), "Purely random time partitions and 1/f-noise", Physics Letters A, 194:285-?.

• AL Mladentsev, AV Yakimov (1994), "Accuracy of 1/f-like spectrum decomposition on the sum of Lorentzians", in Proceedings of 12th International Conference on Noise in Physical Systems and 1/f Fluctuations (AIP), pp ?-?

1993

A Malakhov, AV Yakimov (1993), "The physical models and mathematical description of 1/f noise", in Wavelets, Fractals, and Fourier Transforms, eds. M Farge, JCR Hunt, JC Vassilicos (Clarendon Press, Oxford), pp 341-352.

1991

• HJ Jensen (1991), "1/f noise from the linear diffusion equation", Physica Scripta, 43:593-595.
  [ abstract ]

• Wentian Li (1989), "Expansion-modification systems: a model for spatial 1/f spectra", Physical Review A, 43(10):5240-5260.

1990

• M Duong-Van, MD Feit, GW Hedstrom (1990), "1/f fluctuations of the damped nonlinear oscillator equation", Physics Letters A, 147(4):195-198.
  [ abstract ]

• M Duong-Van (1990), "The physics of the logistic map in the continuous-time limit", Physics Letters A, 151(9), 493-499 (1990).
  [ abstract]

• HJ Jensen (1990), "Lattice Gas as a Model of 1/f Noise", Physical Review Letters, 64(26):3103-3106.

• VB Orlov, AV Yakimov (1990), "1/f-spectrum as superposition of a finite number of relaxation spectra", Radiophys. Quant. Electron, 33:151-?.

1989

• LB Kiss (Kish), J Hajdu (1989), "Transient diffusion 1/f noise model", Solid State Communications, 72:799-?.

• Wentian Li (1989), "Spatial 1/f spectra in open dynamical systems", Europhysics Letters, 10(5):395-400.
  [note: spatial 1/f spectra only]

• Bruce J West, MF Shlesinger (1989), "On the ubiquity of 1/f noise", International Journal of Modern Physics B, 3(6):795-819.
  [ abstract]

1988

• Yu E Kuzovlev (1988), "Bogolyubov-Born-Green-Kirkwood-Yvon equations, self-diffusion and 1/f-noise in a slightly nonideal gas", Journal of Experimental and Theoretical Physics (Zhurnal eksperimental'noi i teoreticheskoi fiziki) , 94(12):140-?. English translation: Sov.Phys.JETP, 67(12), 2469-?.

1987

• H Furukawa (1987), "Quasirandomness and k^-d spectra of several objects", Physical Review A, 35(9):3961-1963.

• B Pellegrini (1987), "1/f^gamma noise from single-energy-level defects", Physical Review B, 35(2):571-580.
  [abstract]

1986

• H Furukawa (1986), "Universal spectra of quasirandom objects produced by off-equilibrium space divisions", Physical Review A, 34(3):2315-2323.
  [ abstract]

• H Furukawa (1986), "1/f spectrum of quasi-random objects", Progress of Theoretical Physics, 75(1):195-197.

• F Gruneis, T Musha (1986), "Clustering Poisson process and 1/f noise", Japanese Journal of Applied Physics, 25(10):1504-1509.
  [ abstract]

• F Gruneis, HJ Baiter (1986), "More detailed explication of a number fluctuation model generating 1/f pattern", Physica A, 136:432-452.
  [ abstract]

1985

• GN Bochkov, Yu E Kuzovlev (1985), "On the theory of 1/f-noise", Preprint No.195, Scientific-Research Radiophysics Institute, Gorkii, USSR, 1985 (in Russian).

• MC Valsakumar, G Ananthakrishna (1985), "On the role of spatial disorder in 1/f noise and subdiffusive behavior", Physics Letters A, 112(1,2):43-46.

1984

• DS Fisher (1984), "Random walks in random environments", Physical Review A, 30(2):960-964.

• F Gruneis (1984), "A number fluctuation model generating 1/f pattern", Physica A, 123: 149-160.
  [ abstract]

• K Tomita (1984), "The significance of the concept 'chaos'", Progress of Theoretical Physics, 79(suppl):1-25.

1983

• E Marinari, G Parisi, D Ruelle, P Windey (1983), "Random walk in a random environment and 1/f noise", Physical Review Letters, 50(17):1223-1225.
  [ abstract ]
  [see, however, the criticism in Fisher(1984): for 2 or higher dimension, the diffusion is essentially normal, so no 1/f noise]

• Yu E Kuzovlev, GN Bochkov (1983), "On the origin and statistical characteristics of 1/f-noise", Izvestiya VUZov.-Radiofizika, 26, 310-?. Translation in English in "Radiophysics and Quantum Electronics".

• E Marinari, G Parisi, D Ruelle, P Windey (1983), "On the interpretation of 1/f noise", Communications of Mathematical Physics, 89:1-12.

• EW Montroll, MF Shlesinger (1983), "Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: a tale of tails", Journal of Statistical Physics, 32(2):209-230.
  [ abstract]

1982

• EW Montroll, MF Shlesinger (1982), "On 1/f noise and other distributions with long tails", Proceedings of National Academy of Sciences, 79:3380-3383.
  [ abstract]

• Yu E Kuzovlev, GN Bochkov (1982), "On nature and statistics of 1/f-noise", Preprint No.157, Scientific-Research Radiophysics Institute, Gorkii, USSR, 1982 (in Russian)

1981

• A Ya Shul'man (1981), "Concerning the nature of the 1/f noise", Journal of Experimental and Theoretical Physics (Zhurnal eksperimental'noi i teoreticheskoi fiziki) , 81:784-797 English translation: Sov. Phys. JETP v.54, no.2, pp.420-426 (1981)
  [ abstract]

• A Ya Shul'man (1981), "Instrumental spread function in noise spectroscopy and the problem of 1/f noise", Pis'ma Zh. Tekh. Fiz. v.7, 783-788 (1981). [Sov. Tech. Phys. Lett. 7(7):337-338 (1981).]

1980

• PH Handel (1980), "Quantum approach to 1/f noise", Physical Review A, 22:745-757.

1975

• PH Handel (1975), "Nature of 1/f phase noise", Physical Review Letters, 34:1495-1498.

• PH Handel (1975), "Quantum theory of 1/f noise", Physics Letters A, 53:438-440.

• MB Weissman (1975), "Simple model for 1/f noise", Physical Review Letters, 35(11): 689-692.

1971

• PH Handel (1971), "Turbulence theory for the current carriers in solid and a theory of 1/f noise", Physical Review A, 3: 2066-2073.

1970

• F Berz (1970), "Theory of low frequency noise in SI MOSTS", Solid-State Electronics, 13(5):631-?

1968

• D Halford (1968), "A general mechanical model for |f|² spectra with special reference to 1/|f| flicker noise", Proceedings of the IEEE, 56:251-258.

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