Ratchet universality in the bidirectional escape from a symmetric potential well

Chacón, Ricardo; Martínez, Pedro J.; Marcos, J. M.; Aranda, Fernando J.; Martínez, José Joaquín Alfaro

doi:10.1103/physreve.103.022203

Cited by 8 publications

(3 citation statements)

References 41 publications

(56 reference statements)

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“…Instances are cold atoms in optical lattices [22,23], topological solitons [10], Bose-Einstein condensates exposed to a sawtoothlike optical lattice potential [24], matterwave solitons [25], one-dimensional granular chains [26], Brownian particles moving on a periodic substrate subjected to a homogeneous temporal biharmonic excitation [27][28][29], Bose-Einstein condensates under an unbiased periodic driving potential [30], and driven overdamped Brownian particles subjected to a vibrating periodic potential [31]. Also, numerical analyses of a driven Brownian particle in the presence of non-Gaussian noise [32] and coupled Brownian motors with stochastic interactions in a crowded environment [33] have confirmed the RU predictions, and RU has recently been demonstrated in the bidirectional escape from a symmetric potential well [34].…”

Section: Introductionmentioning

confidence: 67%

Ratchet universality in coupled dissipative oscillators without external bias

Martínez

Chacón

2021

Phys. Rev. E

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Directed ratchet transport is generally observed in nonautonomous systems as a result of the interplay of nonlinearity, symmetry breaking, and nonequilibrium fluctuations. Here we demonstrate that ratchet dynamics can appear in significant transporting degrees of freedom of dissipative coupled systems without external bias due to unidirectional coupling of oscillatory degrees of freedom (which are also nonbiasing in any direction), while optimal enhancement of directed ratchet transport occurs when the initial conditions and parameters of such ratcheting degrees of freedom are suitably chosen as predicted by the theory of ratchet universality. The simple case of linear oscillatory degrees of freedom is discussed in detail, and numerical experiments are described which confirm all the theoretical predictions, including the dependence of current (velocity) reversals on the initial conditions and the ratcheting degrees-of-freedom parameters. This autonomous ratchet scenario could be exploited technologically, for instance, in the context of noncontact, rack-and-pinion type, nanoscale setups with coupling from the lateral Casimir force, and is relevant for studies of molecular motors in the biological realm.

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Section: Introductionmentioning

confidence: 67%

Ratchet universality in coupled dissipative oscillators without external bias

Martínez

Chacón

2021

Phys. Rev. E

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“…An extension for two coupled DOF systems under harmonic forcing was also studied [15]. The escape under some alternative periodic forcing laws [16], reveals fractal boundaries between the escape and non-escape basins in the phase space. Fractalization is quite typical for systems characterized by strong sensitivity to initial conditions, thus it is usually related to the chaotic scattering field.…”

Section: Introductionmentioning

confidence: 99%

Escape of two-DOF dynamical system from the potential well

Engel

Ezra²,

Gendelman³

et al. 2022

Nonlinear Dyn

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We consider the escape of initially excited dynamical system with two degrees of freedom from a potential well. Three different benchmark well potentials with different topology are explored. The main challenge is to reveal the basic mechanisms that govern the escape in different regions of the parametric space and to construct appropriate asymptotic approximations for the analytic treatment of these mechanisms. In this study, numerical and analytical tools are used to classify and map the different escape mechanisms for a variety of initial conditions and to offer the analytic criteria predicting the system's behavior for those cases.

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“…Numerical analyses of a driven Brownian particle in the presence of non-Gaussian noise [21] and coupled Brownian motors with stochastic interactions in a crowded environment [22] have confirmed the RU predictions. Additionally, RU has recently been demonstrated in the bidirectional escape from a symmetric potential well [23].…”

Section: Introductionmentioning

confidence: 99%

Directed ratchet transport of cold atoms and fluxons driven by biharmonic fields: A unified view

Chacón

Martínez

2021

Phys. Rev. E

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This paper discusses two retrodictions of the theory of ratchet universality which explain previous experimental results concerning directed ratchet transport of cold atoms in dissipative optical lattices in one case and of fluxons in uniform annular Josephson junctions in the other, both driven by biharmonic fields. It has to be emphasized that these retrodictions are in sharp contrast with the current standard explanation of such experimental results, and they offer optimal control of the ratchetlike motion of such entities. New experimental proposals with cold atoms and fluxons are discussed, providing additional tests for novel predictions from ratchet universality.

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Ratchet universality in the bidirectional escape from a symmetric potential well

Cited by 8 publications

References 41 publications

Ratchet universality in coupled dissipative oscillators without external bias

Ratchet universality in coupled dissipative oscillators without external bias

Escape of two-DOF dynamical system from the potential well

Directed ratchet transport of cold atoms and fluxons driven by biharmonic fields: A unified view

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