Do Surface Acoustic Solitons Exist?

Eckl, C.; Mayer, Andreas; Kovalev, A. S.

doi:10.1103/physrevlett.81.983

Cited by 34 publications

(24 citation statements)

References 19 publications

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“…But before making further such comparisons, the amplitude velocity relation [56,57], the existence of refractory period [58] and the behaviour of two pulses under collision need to be explored for a comprehensive understanding of these nonlinear effects. For example in nonlinear systems, two pulses might change or annihilate in general on collision (like action potentials) or remain unaffected like solitons under special circumstances [7,57,[59][60][61][62].…”

Section: Biological Implicationsmentioning

confidence: 99%

Evidence for two-dimensional solitary sound waves in a lipid controlled interface and its implications for biological signalling

Shrivastava

Schneider

2014

J. R. Soc. Interface.

114

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Biological membranes by virtue of their elastic properties should be capable of propagating localized perturbations analogous to sound waves. However, the existence and the possible role of such waves in communication in biology remain unexplored. Here, we report the first observations of twodimensional solitary elastic pulses in lipid interfaces, excited mechanically and detected by FRET. We demonstrate that the nonlinearity near a maximum in the susceptibility of the lipid monolayer results in solitary pulses that also have a threshold for excitation. These experiments clearly demonstrate that the state of the interface regulates the propagation of pulses both qualitatively and quantitatively. Finally, we elaborate on the striking similarity of the observed phenomenon to nerve pulse propagation and a thermodynamic basis of cell signalling in general.

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Section: Biological Implicationsmentioning

confidence: 99%

Evidence for two-dimensional solitary sound waves in a lipid controlled interface and its implications for biological signalling

Shrivastava

Schneider

2014

J. R. Soc. Interface.

114

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“…Those results can be summarized as follows. The baseband pulses can be excited experimentally [12,13,14] but they are not true solitons, because they do not preserve their shapes after collisions, as numerical simulations demonstrated [9,14]. In the experiments, the initial acoustic pulses were quite short: 2 -20 ns.…”

Section: Introductionmentioning

confidence: 87%

“…The nonlinear acoustic wave propagation in the solid layered systems has been considered in many papers [5][6][7][8][9][10][11][12][13][14]. The most results of simulations were obtained within an approximation of moderate nonlinearity, where the propagating wave was presented as a superposition of partial harmonics with slowly varying amplitudes, but the transverse profiles of partial harmonics were assumed as weakly changed, in a comparison to the linear case.…”

Section: Introductionmentioning

confidence: 99%

“…During the last years, research of nonlinear wave phenomena in bounded solids in ultra-high frequency and microwave ranges has been of great interest [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Especially, nonlinear wave effects in structures, which include thin solid films, are perspective for experimental observations, due to a possibility to control the linear and nonlinear wave properties.…”

Section: Introductionmentioning

confidence: 99%

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Surface ultrasonic envelope solitons and wave collapse in solid film–substrate systems

Grimalsky¹,

Koshevaya²,

Gutierrez-D³

et al. 2005

J. Phys.: Conf. Ser.

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Abstract. An excitation of ultra-high frequency (100 MHz -1 GHz) nonlinear envelope solitary acoustic waves, propagating along the interface between a solid film and a solid substrate, is theoretically analyzed. Both the quadratic nonlinearity and the cubic one are important in the case of the envelope waves. When generation of higher harmonics is reduced due to essential waveguide dispersion and the cubic nonlinearity due to the induced zero harmonic is dominating, a possibility of the envelope solitary pulse propagation and the spatial-temporal wave collapse exists, as demonstrated. When the cubic material nonlinearity reduces the associated cubic nonlinear term, there also exists a possibility to observe a wave collapse, if the initial focusing of the input pulse at the first harmonic is applied.

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“…Also the nonlinear modules for the lm and the substrate used in [18] were essentially dierent, in a contrast to the case considered here. The propagation of the baseband nonlinear waves is described by a set of coupled ordinary dierential equations for harmonics [6], and the total number of harmonics is of about 2564096. The splitting with respect to physical factors has been applied.…”

Section: Basic Equationsmentioning

confidence: 99%

Transversely Inhomogeneous Nonlinear Surface Ultrasonic Monopulses in Solid Film-Substrate System

Tecpoyotl-Torres¹,

Vera-Dimas²,

Grimalsky³

et al. 2014

Acta Phys. Pol. A

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Excitation of nonlinear acoustic monopulses, or baseband waves, is theoretically analyzed. The monopulses have a wide spectrum up till the gigahertz range ≤ 1 GHz. The propagation of waves is along the interface between a solid lm and a solid substrate. A quadratic elastic nonlinearity in both contacting media of the system is taken into account. The nonlinear dynamics of waves depends essentially on the thickness of the lm. The transverse inhomogeneity of the wave prole in the interface plane and the wave diraction are taken into account, too. The baseband waves are not true solitons and manifest as single shock-like pulses in the case of an excitation from initial long rectangular pulses. The transverse inhomogeneity aects the dynamics of the shocks, and there is a possibility to focus the nonlinear monopulses.

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Do Surface Acoustic Solitons Exist?

Cited by 34 publications

References 19 publications

Evidence for two-dimensional solitary sound waves in a lipid controlled interface and its implications for biological signalling

Evidence for two-dimensional solitary sound waves in a lipid controlled interface and its implications for biological signalling

Surface ultrasonic envelope solitons and wave collapse in solid film–substrate systems

Transversely Inhomogeneous Nonlinear Surface Ultrasonic Monopulses in Solid Film-Substrate System

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