Flashing subdiffusive ratchets in viscoelastic media

Kharchenko, Vasyl O.; Goychuk, Igor

doi:10.1088/1367-2630/14/4/043042

Cited by 28 publications

(22 citation statements)

References 72 publications

(169 reference statements)

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“…As discussed previously [28,32,33], N auxiliary particles can be roughly divided into the groups of fast, N f , and slow N s = N − N f particles. This division can be made upon comparison of the mean time of transitions made by central Brownian particle to the neighboring potential well with the relaxation times ν −1 i of the corresponding viscoelastic force components u i .…”

Section: Modelmentioning

confidence: 99%

“…[26,27] for rocking ratchets, and in Ref. [28] for flashing ratchets within the framework of nonlinear Generalized Langevin Equation (GLE) approach [30,31] applied to viscoelastic stochastic dynamics with memory within a generalized Maxwell-Langevin Markovian multi-dimensional embedding dynamics [32,33]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, such anomalous transport can be low dispersive, with large or even diverging (for vanishingly small temperature, cf. in [28]) generalized Peclet number, which presents the ratio of scaled subvelocity and sub-diffusion coefficient. This is in a sharp contrast with highly dispersive CTRW and FFPD transport featured by a vanishing generalized Peclet number [33].…”

Section: Introductionmentioning

confidence: 99%

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Subdiffusive rocking ratchets in viscoelastic media: Transport optimization and thermodynamic efficiency in overdamped regime

Kharchenko

Goychuk

2013

Phys. Rev. E

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We study subdiffusive overdamped Brownian ratchets periodically rocked by an external zero-mean force in viscoelastic media within the framework of a non-Markovian generalized Langevin equation approach and associated multidimensional Markovian embedding dynamics. Viscoelastic deformations of the medium caused by the transport particle are modeled by a set of auxiliary Brownian quasiparticles elastically coupled to the transport particle and characterized by a hierarchy of relaxation times which obey a fractal scaling. The most slowly relaxing deformations which cannot immediately follow to the moving particle imprint long-range memory about its previous positions and cause subdiffusion and anomalous transport on a sufficiently long time scale. This anomalous behavior is combined with normal diffusion and transport on an initial time scale of overdamped motion. Anomalously slow directed transport in a periodic ratchet potential with broken space inversion symmetry emerges due to a violation of the thermal detailed balance by a zero-mean periodic driving and is optimized with frequency of driving, its amplitude, and temperature. Such optimized anomalous transport can be low dispersive and characterized by a large generalized Peclet number. Moreover, we show that overdamped subdiffusive ratchets can sustain a substantial load and do useful work. The corresponding thermodynamic efficiency decays algebraically in time since the useful work done against a load scales sublinearly with time following to the transport particle position, but the energy pumped by an external force scales with time linearly. Nevertheless, it can be transiently appreciably high and compare well with the thermodynamical efficiency of the normal diffusion overdamped ratchets on sufficiently long temporal and spatial scales.

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Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Subdiffusive rocking ratchets in viscoelastic media: Transport optimization and thermodynamic efficiency in overdamped regime

Kharchenko

Goychuk

2013

Phys. Rev. E

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“…We started to do this in Refs. (31,(45)(46)(47)(48)(49). The field of Brownian ratchets (50) is allied to molecular motors (38)(39)(40)(41)(42)51), though it is dealing first and foremost with more general problems of statistical physics.…”

Section: Introductionmentioning

confidence: 99%

Molecular motors pulling cargos in the viscoelastic cytosol: how power strokes beat subdiffusion

Goychuk

Kharchenko

Metzler

2014

Phys. Chem. Chem. Phys.

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116

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The discovery of anomalous diffusion of larger biopolymers and submicron tracers such as endogenous granules, organelles, or virus capsids in living cells, attributed to the viscoelastic nature of the cytoplasm, provokes the question whether this complex environment equally impacts the active intracellular transport of submicron cargos by molecular motors such as kinesins: does the passive anomalous diffusion of free cargo always imply its anomalously slow active transport by motors, the mean transport distance along microtubule growing sublinearly rather than linearly in time? Here we analyze this question within the widely used two-state Brownian ratchet model of kinesin motors based on the continuous-state diffusion along microtubules driven by a flashing binding potential, where the cargo particle is elastically attached to the motor. Depending on the cargo size, the loading force, the amplitude of the binding potential, the turnover frequency of the molecular motor enzyme, and the linker stiffness we demonstrate that the motor transport may turn out either normal or anomalous, as indeed measured experimentally. We show how a highly efficient normal active transport mediated by motors may emerge despite the passive anomalous diffusion of the cargo, and study the intricate effects of the elastic linker. Under different, well specified conditions the microtubule-based motor transport becomes anomalously slow and thus significantly less efficient.

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“…Structural properties of Zr-12.5%Nb and Zr-25%Nb were theoretically considered in [16,17]. However, the question regarding the critical value of niobium concentration at the transition from α-phase toward β-phase (structural transformation HCP → BCC) in zirconium-niobium alloys still remains open.…”

Section: Introductionmentioning

confidence: 99%

Ab-initio calculations for the structural properties of Zr-Nb alloys

Kharchenko¹,

Kharchenko²

2013

Condens. Matter Phys.

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Ab-initio calculations for the structural properties of Zr-Nb alloys at different values of the niobium concentration are done at zero temperature. Different cases for Zr-Nb alloys with unit cells having BCC and HCP structures are considered. Optimal values of the lattice constants are obtained. Critical value for the niobium concentration corresponding to the structural transformation HCP → BCC at zero temperature is determined. Electronic densities of states for two different structures with niobium concentrations 12.5% and 25% having HCP and BCC structures, accordingly, are studied.

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Flashing subdiffusive ratchets in viscoelastic media

Cited by 28 publications

References 72 publications

Subdiffusive rocking ratchets in viscoelastic media: Transport optimization and thermodynamic efficiency in overdamped regime

Subdiffusive rocking ratchets in viscoelastic media: Transport optimization and thermodynamic efficiency in overdamped regime

Molecular motors pulling cargos in the viscoelastic cytosol: how power strokes beat subdiffusion

Ab-initio calculations for the structural properties of Zr-Nb alloys

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