Diffusion in the systems with low dissipation: Exponential growth with temperature drop

Marchenko, I. G.; Марченко, И. И.

doi:10.1209/0295-5075/100/50005

Cited by 35 publications

(48 citation statements)

References 14 publications

(22 reference statements)

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“…In [25] it was shown that depending on the value of the external force (constant in that study) different functional dependences of the diffusivity on the temperature were realized.…”

Section: Piecewise Constant Periodic Forcing Dependence Of the mentioning

confidence: 72%

“…Definitions (8,9) differ from such in [16,22,25,[30][31][32] by extra factors of 2 appearing in the definition of t ′ , and consequently in T ′ and γ ′ as well. Current definition makes interpreting the results easier (t ′ = 1 corresponds to one oscillation period at small γ ′ ).…”

Section: Problem Setup and Numerical Methods A Problem Setupmentioning

confidence: 99%

“…We study the underdamped case here. Friction coefficient γ ′ = 0.2 we use corresponds to the same physical value as in earlier studies [22,25].…”

Section: Problem Setup and Numerical Methods A Problem Setupmentioning

confidence: 99%

“…Plots of the diffusivity as a function of the external force at several temperatures (based on [25], recomputed for the current units) are shown in Fig. 1.…”

Section: Piecewise Constant Periodic Forcing Dependence Of the mentioning

confidence: 99%

“…More thorough analysis of (the temperature-and forcedependence of) the diffusion in underdamped systems was carried out in [25]. It was shown by numeric simulations of the Langevin equation that the phenomenon of diffusivity growth with the temperature decreasing (in the current work called TAD, "temperature-abnormal diffusivity") was only manifested in a narrow interval of applied external forcing.…”

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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“…In [25] it was shown that depending on the value of the external force (constant in that study) different functional dependences of the diffusivity on the temperature were realized.…”

Section: Piecewise Constant Periodic Forcing Dependence Of the mentioning

confidence: 72%

Section: Problem Setup and Numerical Methods A Problem Setupmentioning

confidence: 99%

“…We study the underdamped case here. Friction coefficient γ ′ = 0.2 we use corresponds to the same physical value as in earlier studies [22,25].…”

Section: Problem Setup and Numerical Methods A Problem Setupmentioning

confidence: 99%

“…Plots of the diffusivity as a function of the external force at several temperatures (based on [25], recomputed for the current units) are shown in Fig. 1.…”

Section: Piecewise Constant Periodic Forcing Dependence Of the mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations