Noise mediated regularity of porous silicon nanostructures

Escorcia‐García, J.; Agarwal, Vivechana; Parmananda, P.

doi:10.1063/1.3104854

Cited by 19 publications

(6 citation statements)

References 35 publications

(26 reference statements)

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“…In particular, coherence resonance in a single-walled Carbon nanotube ion channel was uncovered [49]. It was found [50] that the regularity of the spatial distribution of pores in a nanostructure can be maximized by some optimal level of internal noise. It was also discovered [51] that the electron dynamics in a semiconductor superlattice can exhibit coherence resonance.…”

Section: Introductionmentioning

confidence: 99%

“…There have also been recent works on coherence resonance in nanoscale systems [49][50][51]. In particular, coherence resonance in a single-walled Carbon nanotube ion channel was uncovered [49].…”

Section: Introductionmentioning

confidence: 99%

“…Physically, as compared with the existing works in Refs. [49][50][51], the distinct features of our present work are twofold: (1) we study the parameter regime where the deterministic dynamics are chaotic and motivate our work from the perspective of control, and (2) we assume that the operational environment of the nanowire is under room conditions. The issue of chaos control is challenging, as existing methods cannot be extended to the nanowire system.…”

Section: Introductionmentioning

confidence: 99%

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Regularization of chaos by noise in electrically driven nanowire systems

Hessari

Lai

et al. 2014

Phys. Rev. B

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The electrically driven nanowire systems are of great importance to nanoscience and engineering. Due to strong nonlinearity, chaos can arise, but in many applications it is desirable to suppress chaos. The intrinsically high-dimensional nature of the system prevents application of the conventional method of controlling chaos. Remarkably, we find that the phenomenon of coherence resonance, which has been well documented but for low-dimensional chaotic systems, can occur in the nanowire system that mathematically is described by two coupled nonlinear partial differential equations, subject to periodic driving and noise. Especially, we find that, when the nanowire is in either the weakly chaotic or the extensively chaotic regime, an optimal level of noise can significantly enhance the regularity of the oscillations. This result is robust because it holds regardless of whether noise is white or colored, and of whether the stochastic drivings in the two independent directions transverse to the nanowire are correlated or independent of each other. Noise can thus regularize chaotic oscillations through the mechanism of coherence resonance in the nanowire system. More generally, we posit that noise can provide a practical way to harness chaos in nanoscale systems.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Regularization of chaos by noise in electrically driven nanowire systems

Hessari

Lai

et al. 2014

Phys. Rev. B

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“…In small chemical systems or in systems containing a small number of molecules, the internal fluctuations can induce deviations from the deterministic predictions that are especially important in specific conditions, such as the vicinity of bifurcations [1] or when the propagation of a chemical wave front is involved [2]. More generally, the constructive effects of noise have been pointed out in diverse situations, such as stochastic resonance [3,4,5,6,7], coherence resonance [8,9,10,11], Brownian motors [12], and noise-induced order in chaotic systems [13]. Chemical processes are rarely thermoneutral and, at small scales, the description of temperature variation can be hardly ignored.…”

Section: Introductionmentioning

confidence: 99%

Temperature-driven coherence resonance and stochastic resonance in a thermochemical system

Lemarchand

Górecki

et al. 2014

Phys. Rev. E

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We perform the stochastic analysis of a thermochemical system using a master equation which describes a chemical reaction and includes discrete and continuous temperature jumps. We study the time evolution of the system selecting the temperature of the thermostat as an easily tunable control parameter. Depending on the thermostat temperature, the system can be in an excitable, oscillatory, or stationary regime. Stochastic time series for the system temperature are generated and the distributions of interspike intervals are analyzed in the three dynamical regimes separated by a homoclinic bifurcation and a Hopf bifurcation. Different constructive roles of internal fluctuations are exhibited. A noise-induced transition is observed in the vicinity of the Hopf bifurcation. Coherence resonance and stochastic resonance are found in the oscillatory regime. In a range of thermostat temperatures, a nontrivial behavior of the highly nonlinear system is revealed by the existence of both a minimum and a maximum in the scaled standard deviation of interspike intervals as a function of particle number. This high sensitivity to system size illustrates that controlling dynamics in nanoreactors may remain a difficult task.

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“…With an appropriate control of these parameters it is possible to obtain structures with almost any desirable combination of thickness and porosity. Changing the applied current during the electrochemical etching, and therefore the silicon porosity, allows the fabrication of several types of 1D PSi photonic bandgap structures, such as distributed Bragg reflectors, omnidirectional mirrors [4,5], FabryPerot optical microcavities, waveguides, rugate filters, optical biosensors, and many other devices [15][16][17][18]. Moreover, 1D photonic superlattices [19] have allowed the observation of the optical analogues of electronic phenomena, such as the photonic Bloch oscillations, Zener tunneling, Anderson localization [20][21][22], and many other phenomena [23].…”

mentioning

confidence: 99%

Localized defect modes in dual-periodical multilayer structures based on porous silicon

et al. 2012

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We present an experimental study of the resonance modes in dual-periodical multilayer structures based on porous silicon. These multilayered structures are composed by stacking N times two substructures A, and B, i.e., A n B m N . The A n and B m are in turn composed of two different period units, a and b, respectively, where subscripts n and m are the period number in the a and b substructures. Both substructures a and b consist of a pair of alternating layers with high and low refractive indices n 1 and n 2 , respectively. The thickness parameters of the dielectric layers in a and b are all different. We observe several resonance transmission peaks due to the periodical repetition of the A n B m structure. The number of resonance peaks, their full width at half-maximum (FWHM), etc., can be controlled by selecting the structural parameters of the system. The experimental data are in good agreement with those calculated using the transfer matrix method. These optical superlattices are very promising, since they can be designed so that the reflectance response presents a determined number of resonance modes in the most important window for optical communications, making them good candidates for direct applications.

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Noise mediated regularity of porous silicon nanostructures

Abstract: Monte Carlo simulation of cross-plane thermal conductivity of nanostructured porous silicon films

Cited by 19 publications

References 35 publications

Regularization of chaos by noise in electrically driven nanowire systems

Regularization of chaos by noise in electrically driven nanowire systems

Temperature-driven coherence resonance and stochastic resonance in a thermochemical system

Localized defect modes in dual-periodical multilayer structures based on porous silicon

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