Stochastic resonance<i>vs.</i>resonant activation

Schmitt, Carmen; Dybiec, Bartłomiej; Hänggi, Peter; Bechinger, Clemens

doi:10.1209/epl/i2006-10052-6

Cited by 62 publications

(64 citation statements)

References 33 publications

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][23][24][25] and experimentally revealed in Refs. [17][18][19][20][21][22]26]. The occurrence of the RA together with other stochastic effects such as noise-enhanced stability [12,20,[27][28][29] and stochastic resonance [30] have been also investigated [11][12][13][14]19,20].…”

Section: Introductionmentioning

confidence: 99%

“…[17][18][19][20][21][22]26]. The occurrence of the RA together with other stochastic effects such as noise-enhanced stability [12,20,[27][28][29] and stochastic resonance [30] have been also investigated [11][12][13][14]19,20]. The RA effect is characterized by the strong correlation between the mean time of the potential fluctuations and the crossing time over the barrier, and it is totally different from the dynamic resonance requiring the matching between the driving frequency and the natural * afiascon@unizar.es † http://gip.dft.unipa.it frequency of the system [31].…”

Section: Introductionmentioning

confidence: 99%

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Resonant activation in piecewise linear asymmetric potentials

Fiasconaro

Spagnolo

2011

Phys. Rev. E

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This work analyzes numerically the role played by the asymmetry of a piecewise linear potential, in the presence of both a Gaussian white noise and a dichotomous noise, on the resonant activation phenomenon. The features of the asymmetry of the potential barrier arise by investigating the stochastic transitions far behind the potential maximum, from the initial well to the bottom of the adjacent potential well. Because of the asymmetry of the potential profile together with the random external force uniform in space, we find, for the different asymmetries: (1) an inversion of the curves of the mean first passage time in the resonant region of the correlation time τ of the dichotomous noise, for low thermal noise intensities; (2) a maximum of the mean velocity of the Brownian particle as a function of τ ; and (3) an inversion of the curves of the mean velocity and a very weak current reversal in the miniratchet system obtained with the asymmetrical potential profiles investigated. An inversion of the mean first passage time curves is also observed by varying the amplitude of the dichotomous noise, behavior confirmed by recent experiments.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Resonant activation in piecewise linear asymmetric potentials

Fiasconaro

Spagnolo

2011

Phys. Rev. E

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“…Elongated traps of this form have been created in previous experimental work [11,12]. Our dimensionless units can be converted to physical units for a particular system.…”

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confidence: 99%

Realizing Colloidal Artificial Ice on Arrays of Optical Traps

2006

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We demonstrate how a colloidal version of artificial ice can be realized on optical trap lattices. Using numerical simulations, we show that this system obeys the ice rules and that for strong colloidcolloid interactions, an ordered ground state appears. We show that the ice rule ordering can occur for systems with as few as twenty-four traps and that the ordering transition can be observed at constant temperature by varying the barrier strength of the traps.PACS numbers: 82.70.DdIn certain spin models, the geometric spin arrangements frustrate the system since not all of the nearest neighbor spin interaction energies can be minimized simultaneously [1]. A classic example of this is the spin ice system [2,3], named after the similarity between magnetic ordering on a pyrochlore lattice and proton ordering in water ice [4]. Spin ice behavior has been observed in magnetic materials such as Ho 2 Ti 2 O 7 , where the magnetic rare-earth ions form a lattice of cornersharing tetrahedra [2]. The spin-spin interaction energy in such a system can be minimized locally when two spins in each tedrahedron point inward and two point outward, leading to exotic disordered states [5]. There are several open issues in these systems, such as whether long range interactions order the system, or whether the true ground state of spin ice is ordered [6].In atomic spin systems, the size scale is too small to examine ordering on the individual spin level directly, and very low temperatures are required to freeze the spins. Artificial versions of spin ice systems that overcome these limitations would be very useful. In a recent experiment, a geometrically frustrated system was constructed from a square lattice of small, single-domain magnetic islands [7]. Each vertex of the lattice represents a meeting point for four spins. Wang et al. demonstrated that the system obeys the "ice rules" of two-spins-in, two-spins-out at each vertex for closely spaced islands, and has a random spin arrangement for widely spaced islands. Unlike in atomic systems, it is possible to image the ground state of the resulting spin ice directly using a scanning probe.Here, we propose another version of an artificial spin ice system in which both statics and dynamics can be probed directly. We use numerical simulations to show that square ice as well as other frustrated states can be constructed using interacting colloidal particles confined in two-dimensional (2D) periodic optical trap arrays. Due to the micron size scale of the colloids, the ordering and dynamics could be imaged with video-microscopy in an experiment. The colloidal system may also equilibrate much more rapidly than the nanomagnet system, since thermal fluctuations are present and can be controlled by changing the relative strength of the optical traps. In addition, the colloidal interaction can be changed from nearest neighbor to longer range simply by adjusting the screening length. A variety of different static and dynamical trap geometries can be constructed with optical arrays [8], and colloid...

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“…In concluding this section, we relate the FPT pdf g(t) to a quantity more easily accessed in actual experiments [14,39]. To this purpose, consider, for the very same driving setup discussed in this section, the following different protocol: Instead of iterating the procedure of preparing the system in state L and resetting the driving phase, after each absorption, imagine that the particle is not absorbed but is left free to reenter the state L after a random time, whose distribution at long times is given by the asymptotic probability of being in state R times the backward rate W − (t).…”

Section: Periodically Driven Tunneling Matrix Elementmentioning

confidence: 99%

Quantum resonant activation

et al. 2017

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Quantum resonant activation is investigated for the archetype setup of an externally driven two-state (spinboson) system subjected to strong dissipation by means of both analytical and extensive numerical calculations. The phenomenon of resonant activation emerges in the presence of either randomly fluctuating or deterministic periodically varying driving fields. Addressing the incoherent regime, a characteristic minimum emerges in the mean first passage time to reach an absorbing neighboring state whenever the intrinsic time scale of the modulation matches the characteristic time scale of the system dynamics. For the case of deterministic periodic driving, the first passage time probability density function (pdf) displays a complex, multipeaked behavior, which depends crucially on the details of initial phase, frequency, and strength of the driving. As an interesting feature we find that the mean first passage time enters the resonant activation regime at a critical frequency ν * which depends very weakly on the strength of the driving. Moreover, we provide the relation between the first passage time pdf and the statistics of residence times.

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Stochastic resonancevs.resonant activation

Cited by 62 publications

References 33 publications

Resonant activation in piecewise linear asymmetric potentials

Resonant activation in piecewise linear asymmetric potentials

Realizing Colloidal Artificial Ice on Arrays of Optical Traps

Quantum resonant activation

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