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Autor:
Kharchenko, Vasyl O., Goychuk, I.
Publikováno v:
Physical Review E, vol. 87, 052119 (2013)
We study subdiffusive overdamped Brownian ratchets periodically rocked by an external zero-mean force in viscoelastic media within the framework of non-Markovian Generalized Langevin equation (GLE) approach and associated multi-dimensional Markovian
Externí odkaz:
http://arxiv.org/abs/1309.6749
Autor:
Goychuk, I., Kharchenko, V. O.
Publikováno v:
Math. Model. Nat. Phenom., vol. 8, 144-158 (2013)
We study origin, parameter optimization, and thermodynamic efficiency of isothermal rocking ratchets based on fractional subdiffusion within a generalized non-Markovian Langevin equation approach. A corresponding multi-dimensional Markovian embedding
Externí odkaz:
http://arxiv.org/abs/1309.6737
Publikováno v:
Europhys. Lett. 93, 20002 (2011)
The Fractional Langevin Equation (FLE) describes a non-Markovian Generalized Brownian Motion with long time persistence (superdiffusion), or anti-persistence (subdiffusion) of both velocity-velocity correlations, and position increments. It presents
Externí odkaz:
http://arxiv.org/abs/1011.2848
Publikováno v:
Phys. Rev. Lett. 105, 100602 (2010)
We study a minimal non-Markovian model of superdiffusion which originates from long-range velocity correlations within the generalized Langevin equation (GLE) approach. The model allows for a three-dimensional Markovian embedding. The emergence of a
Externí odkaz:
http://arxiv.org/abs/1008.1187
Publikováno v:
Physical Review E 79, 041137 (2009)
The fractional Fokker-Planck equation for subdiffusion in time-dependent force fields is derived from the underlying continuous time random walk. Its limitations are discussed and it is then applied to the study of subdiffusion under the influence of
Externí odkaz:
http://arxiv.org/abs/0902.3878
Publikováno v:
Europhysics Letters, 86, 30009 (2009)
Subdiffusive transport in tilted washboard potentials is studied within the fractional Fokker-Planck equation approach, using the associated continuous time random walk (CTRW) framework. The scaled subvelocity is shown to obey a universal law, assumi
Externí odkaz:
http://arxiv.org/abs/0811.4738
Publikováno v:
I. D. Kosi\'nska, I. Goychuk, M. Kostur, G. Schmid, P. H\"anggi, Acta Phys. Pol. B 39 (2008) 1137-1160
The reduced 1D Poisson-Nernst-Planck (PNP) model of artificial nanopores in the presence of a permanent charge on the channel wall is studied. More specifically, we consider the limit where the channel length exceed much the Debye screening length an
Externí odkaz:
http://arxiv.org/abs/0803.1461
Ion transport in biological and synthetic nanochannels is characterized by phenomena such as ion current fluctuations and rectification. Recently, it has been demonstrated that nanofabricated synthetic pores can mimic transport properties of biologic
Externí odkaz:
http://arxiv.org/abs/0712.3339
Autor:
Goychuk, I., Hanggi, P.
Publikováno v:
Phys. Rev. Lett. 99, 200601 (2007)
We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a $1/\omega^{1-\alpha}$ power spectrum. This long-standing challeng
Externí odkaz:
http://arxiv.org/abs/0705.3718