TITLE

On the universality of nonclassical nonlinear phenomena and their classification

AUTHOR(S)
Hirsekorn, Sigrun; Delsanto, Pier Paolo
PUB. DATE
February 2004
SOURCE
Applied Physics Letters;2/23/2004, Vol. 84 Issue 8, p1413
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Recent discoveries of nonclassical nonlinear effects in materials have suggested the existence of a nonlinear mesoscopic elasticity (NME) universality class. In the present contribution, we go beyond NME and look for the underlying mathematical foundations that may justify conjectured universality. Using a completely general “response box” formalism, we classify the response according to its spectral contents and obtain the analyticity conditions. We prove that, under the assumption of no conditioning, from the result of a single experiment at a certain amplitude Ā the response of the system to any excitation of the same frequency and amplitude A<Ā can be derived. © 2004 American Institute of Physics.
ACCESSION #
12292631

 

Related Articles

  • A nonlinear mesoscopic elastic class of materials. Johnson, Paul A.; Guyer, Robert A.; Ostrovsky, Lev A. // AIP Conference Proceedings;2000, Vol. 524 Issue 1, p291 

    It is becoming clear that the elastic properties of rock are shared by numerous other materials (sand, soil, some ceramics, concrete, etc.). These materials have one or more of the following properties in common: strong nonlinearity, hysteresis in stress-strain relation, slow dynamics and...

  • 3D Numerical Modelling Of A Dip-Coating Process: A Multidomain Approach At The Macroscopic Scale. Bikard, J.; Relot, E.; Budtova, T. // AIP Conference Proceedings;2007, Vol. 907 Issue 1, p1227 

    The hot dip-coating process is numerically studied on the bases of a 3D strongly coupled thermomechanical model. At a mesoscopic scale, the process is described as a solidification of a hot Newtonian polymer solution on the surface of a cold mould moving in/out of the bath. The evolution of the...

  • On the nature of the reentrant effect in susceptibility of mesoscopic cylindrical samples. Gogadze, G. A. // Low Temperature Physics;Jan2005, Vol. 31 Issue 1, p94 

    A theory of the reentrant effect in the susceptibility of mesoscopic cylindrical NS samples is proposed which is essentially based on the properties of the Andreev levels. The specific feature of the quantum levels of the structure is that in a varying magnetic field (or temperature) each level...

  • Anisotropic colloidal particles in critical fluids. Eisenriegler, E. // Journal of Chemical Physics;8/15/2004, Vol. 121 Issue 7, p3299 

    We consider anisotropic colloidal particles with dumbbell or lens shapes that are immersed in a critical binary fluid mixture. The orientation-dependent long-ranged universal interactions mediated by the critical solvent between a particle and a wall or between two particles are investigated for...

  • Analytical methods to determine the effective mesoscopic and macroscopic elastic properties of cortical bone. Parnell, William; Vu, M.; Grimal, Q.; Naili, S. // Biomechanics & Modeling in Mechanobiology;Jul2012, Vol. 11 Issue 6, p883 

    We compare theoretical predictions of the effective elastic moduli of cortical bone at both the meso- and macroscales. We consider the efficacy of three alternative approaches: the method of asymptotic homogenization, the Mori-Tanaka scheme and the Hashin-Rosen bounds. The methods concur for...

  • The nano- and mesoscopic cooperative collective mechanisms of inhomogenous elastic-plastic transitions in polycrystalline TiNi shape memory alloys. Mao, S. C.; Han, X. D.; Zhang, Z.; Wu, M. H. // Journal of Applied Physics;5/15/2007, Vol. 101 Issue 10, p103522 

    The cooperative collective effects of strain-induced martensitic variant accommodation in nano- and micrograined polycrystalline TiNi shape memory alloys were discovered to form macroscopic strain-induced shearing bands—the Lüders-like deformation bands. We use the in situ electron...

  • Nonlocal electrical properties in mesoscopic devices. Umbach, C. P.; Santhanam, P.; van Haesendonck, C.; Webb, R. A. // Applied Physics Letters;5/4/1987, Vol. 50 Issue 18, p1289 

    The magnetoconductance of nominally identical, 2-μm-long, Au lines has been measured. A 0.7-μm-diam loop was attached to the end of one of the lines outside the probes in such a way that classically no current would flow through it. As expected, the line by itself showed only aperiodic...

  • Proximity effect thermometer for local electron temperature measurements on mesoscopic samples. Aumentado, J.; Chandrasekhar, V. // Applied Physics Letters;11/29/1999, Vol. 75 Issue 22, p3554 

    Studies proximity effect thermometer for local electron temperature measurements on mesoscopic samples. Temperature difference induced by a dc flowing in the samples; Determination of the electronic properties of the system.

  • Collective phenomena in mesoscopic systems. Guinea, F.; Vicent, J. L. // European Physical Journal B -- Condensed Matter;Aug2004, Vol. 40 Issue 4, p355 

    This section introduces a series of articles which deal with mesoscopic physics.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics