Koverda V. P.1, Skokov V. N.1
1Institute of Thermal Physics, Ural Branch of the Russian Academy of Science, Yekaterinburg, Russia
Email: koverda@itp.uran.ru
An analytical approach is proposed to describe a computer model of a "sand heap" that describes positive 1/f fluctuations. The solutions to the proposed equations are random processes with power-law behavior of power spectra and distribution functions of random fluctuations. Keywords: self-similar random processes, stochastic equations, vortices, power spectrum, 1/f-noise.
- P. Bak, How nature works (Springer-Verlag Inc., N.Y., 1996)
- R.N. Mantegna, H.E. Stanley, Nature, 376, 46 (1995). DOI: 10.1038/376046a0
- H. Touchette, Phys. Rep., 478, 1 (2009). DOI: 10.1016/j.physrep.2009.05.002
- L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Rev. Mod. Phys., 87, 593 (2015). DOI: 10.1103/RevModPhys.87.593
- A. Corral, Chaos Solit. Fract., 74, 99 (2015). DOI: 10.1016/j.chaos.2015.01.011
- O.B. Naimark, Phys. Mesomechanics, 11 (3-4), 187 (2008). DOI: 10.1016/j.physme.2008.07.008
- A.G. Bershadskii, Sov. Phys. Usp., 33 (12), 1073 (1990). DOI: 10.1070/PU1990v033n12ABEH002669
- T. Sarpkaya, J. Fluids Struct., 19, 389 (2004). DOI: 10.1016/j.jfluidstructs.2004.02.005
- D. Birch, Phys. Fluids, 24, 025105 (2012). DOI: 10.1063/1.3689179
- V.N. Skokov, V.P. Koverda, A.V. Reshetnikov, JETP Lett., 69 (8), 636 (1999). DOI: 10.1134/1.567972
- A.V. Reshetnikov, N.A. Mazheiko, V.N. Begletsov, V.N. Skokov, V.P. Koverda, Tech. Phys. Lett., 33 (9), 732 (2007). DOI: 10.1134/S1063785007090052
- V.N. Skokov, V.P. Koverda, A.V. Reshetnikov, A.V. Vinogradov, Physica A, 364, 63 (2006). DOI: 10.1016/j.physa.2005.09.045
- B. Mandelbrot, The fractal geometry of nature (W.H. Freeman and Co, N.Y., 1982)
- B. Mandelbrot, J. Van Ness, SIAM Rev., 10, 422 (1968). DOI: 10.1137/1010093
- D. Ben-Avraham, S. Havlin, Diffusion and reactions in fractals and disordered systems (Cambridge University Press, 2005)
- R. Metzler, J. Klafter, Phys. Rep., 339, 1 (2000). DOI: 10.1016/S0370-1573(00)00070-3
- V.P. Koverda, V.N. Skokov, Physica A, 346, 203 (2005). DOI: 10.1016/j.physa.2004.07.042
- V.P. Koverda, V.N. Skokov, Physica A, 555, 124581 (2020). DOI: 10.1016/j.physa.2020.124581
- W. Horsthemke, R. Lefever, Noise-induced transitions: theory and applications in physics, chemistry, and biology (Springer-Verlag, Berlin, 2006)
- V.P. Koverda, V.N. Skokov, Tech. Phys. Lett., 48 (7), 47 (2022). DOI: 10.21883/TPL.2022.07.54038.19221
- V.P. Koverda, V.N. Skokov, Physica A, 628, 129141 (2023). DOI: 10.1016/j.physa.2023.129141
- V.P. Koverda, V.N. Skokov, Physica A, 391, 21 (2012). DOI: 10.1016/j.physa.2011.07.015
- C. Shannon, Bell Syst. Tech., 27, 379 (1948). DOI: 10.1002/j.1538-7305.1948.tb01338.x
- A.G. Bashkirov, Theor. Math. Phys., 149 (2), 1559 (2006). DOI: 10.1007/s11232-006-0138-x
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