Transport and diffusion on crystalline surfaces under external forces

Lindenberg, Katja; Palacio, Ana María Lacasta; Sancho, J. M.; Romero, Aldo H.

doi:10.1088/1367-2630/7/1/029

Cited by 58 publications

(86 citation statements)

References 40 publications

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“…whereas the power-law fit D max ∝ T −3.5 proposed in [18] could approximate the results only in the narrow temperature range studied by the authors. We showed that the main exponential growth resulted from such of the correlation time at the temperature decreasing (found from the simulation results).…”

Section: Introductionmentioning

confidence: 57%

“…This phenomenon being absent in overdamped systems (as these have no proper running states). The maximal diffusivity is achieved at forcing near F cr , as at this value populations of locked and running particles are about equal, and it is the mutual motion between these two populations (with temperature-independent running particle speed) that leads to fast spreading of the particle packet, manifested as giant diffusion [18].…”

Section: Introductionmentioning

confidence: 98%

“…Further progress in studies of the diffusion under the action of constant force was made in [16][17][18]. Timedependence of the particle ensemble dispersion was studied in [16].…”

Section: Introductionmentioning

confidence: 99%

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Enhanced diffusion with abnormal temperature dependence in underdamped space-periodic systems subject to time-periodic driving

Marchenko

Жигло

2018

Phys. Rev. E

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We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mean. We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitude and frequency. The diffusivity demonstrates TAD, abnormal (decreasing) temperature dependence at forcing amplitudes exceeding certain value. At any fixed forcing frequency Ω normal temperature dependence of the diffusivity is restored at low enough temperatures, T < TTAD(Ω) -in contrast with the problem with constant external forcing. At fixed temperature at small forcing frequency the diffusivity either slowly decreases with Ω, or (at stronger forcing) goes through a maximum near Ω2, reciprocal superdiffusion stage duration. At high frequencies, between Ω2 and a fraction of the oscillation frequency at the potential minimum, the diffusivity is shown to decrease with Ω according to a power law, with exponent related to the transient superdiffusion exponent. This behavior is found similar for the cases of sinusoidal in time and piecewise constant periodic ("square") forcing.

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Section: Introductionmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 98%

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Enhanced diffusion with abnormal temperature dependence in underdamped space-periodic systems subject to time-periodic driving

Marchenko

Жигло

2018

Phys. Rev. E

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“…This is done because in previous calculations concerning flows of particle mixtures over surfaces with obstacles we did not take the effect of the obstacles on the flow field into account. [9][10][11] Here we have the opportunity to assess the importance of doing so (see below).…”

Section: Dynamical Modelmentioning

confidence: 99%

“…7 Theoretical studies complemented with stochastic simulations have received considerable attention. [9][10][11] Other sorting methods based on inertia and hydrodynamics have also been explored. 8 The sorting phenomenon consists of a lateral or orthogonal displacement of the particles with respect to the driving force or velocity direction of the fluid mixture.…”

Section: Introductionmentioning

confidence: 99%

Speeding chemical reactions by focusing

Palacio

Ramírez‐Piscina

Sancho

et al. 2013

The Journal of Chemical Physics

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We present numerical results for a chemical reaction of colloidal particles which are transported by a laminar fluid and are focused by periodic obstacles in such a way that the two components are well mixed and consequently the chemical reaction is speeded up. The roles of the various system parameters (diffusion coefficients, reaction rate, and obstacles sizes) are studied. We show that focusing speeds up the reaction from the diffusion limited rate ∼t −1/2 to very close to the perfect mixing rate, ∼t −1 .

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Phase synchronization in tilted deterministic ratchets

Alatriste¹,

Mateos²

2006

Physica A: Statistical Mechanics and its Applications

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We study phase synchronization for a ratchet system. We consider the deterministic dynamics of a particle in a tilted ratchet potential with an external periodic forcing, in the overdamped case. The ratchet potential has to be tilted in order to obtain a rotator or self-sustained nonlinear oscillator in the absence of external periodic forcing. This oscillator has an intrinsic frequency that can be entrained with the frequency of the external driving. We introduced a linear phase through a set of discrete time events and the associated average frequency, and show that this frequency can be synchronized with the frequency of the external driving. In this way, we can properly characterize the phenomenon of synchronization through Arnold tongues, which represent regions of synchronization in parameter space, and discuss their implications for transport in ratchets.

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Transport and diffusion on crystalline surfaces under external forces

Cited by 58 publications

References 40 publications

Enhanced diffusion with abnormal temperature dependence in underdamped space-periodic systems subject to time-periodic driving

Enhanced diffusion with abnormal temperature dependence in underdamped space-periodic systems subject to time-periodic driving

Speeding chemical reactions by focusing

Phase synchronization in tilted deterministic ratchets

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