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  • exponential decay  (3)
  • 72.80.Ey  (2)
  • Springer  (5)
  • 1
    Electronic Resource
    Electronic Resource
    Dynamics of resonant and non-resonant tunneling in asymmetric coupled quantum wells (1993)
    Springer
    Applied physics 56 (1993), S. 40-42 
    Details
    ISSN: 1432-0630
    Keywords: 73.40.Gk ; 72.80.Ey ; 73.20.Dx
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Within the framework of the effective mass approximation, coherent oscillations of a photoexcited electron wave packet in an asymmetric coupled quantum well structure have been studied using a time-dependent Schrödinger equation. In the method of calculation, the continuity of the current across a semiconductor heterojunction is considered. The amplitude and period of the electronic is obtained and in the case of high bias, it is found the existence of electric field-induced tunelling to semiconductor bulk.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00351901
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Ge diffusion into GaAs by pulsed laser irradiation (1988)
    Springer
    Applied physics 46 (1988), S. 191-196 
    Details
    ISSN: 1432-0630
    Keywords: 61.70.Tm ; 79.20.Ds ; 72.80.Ey
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Ge diffusion into GaAs from thin evaporated layers as sources is reported. Irradiation with aQ-switched ruby laser gives rise ton-type diffused layers of a thickness from 240 to 710 Å. A strong compensation of the diffused layers, that cannot be removed by thermal annealing, was observed. From the present experimental results it can be inferred that the diffusion coefficient increases at the melting point by 5 to 6 orders of magnitude.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939263
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  • 3
    Electronic Resource
    Electronic Resource
    Decay rates for viscoelastic plates with memory (1996)
    Springer
    Journal of elasticity 44 (1996), S. 61-87 
    Details
    ISSN: 1573-2681
    Keywords: 35B40 ; 35L05 ; 35L70 ; viscoelasticity ; exponential decay ; initial boundary value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfies g(t) ⩽ -c0g(t)1+1/p and g,g1+1/p ∈ L1(ℝ) with p 〉 2, then the energy decays as 1/(1+t)p.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042192
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  • 4
    Electronic Resource
    Electronic Resource
    The Transmission Problem of Viscoelastic Waves (2000)
    Springer
    Acta applicandae mathematicae 62 (2000), S. 1-21 
    Details
    ISSN: 1572-9036
    Keywords: transmission problem ; exponential decay ; partially viscoelastic ; materials with memory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we consider the transmission problem of viscoelastic waves. That is, we study the wave propagations over materials consisting of elastic and viscoelastic components. We show that for this types of materials the dissipation produced by the viscoelastic part is strong enough to produce exponential decay of the solution, no matter how small is its size. We also show that the linear model is well posed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006449032100
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  • 5
    Electronic Resource
    Electronic Resource
    Uniform Rates of Decay in Anisotropic Thermo-Viscoelasticity (1998)
    Springer
    Acta applicandae mathematicae 50 (1998), S. 207-224 
    Details
    ISSN: 1572-9036
    Keywords: viscoelasticity ; exponential decay ; initial boundary-value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the anisotropic and inhomogeneous thermo-viscoelastic equation. We prove that the first and second-order energy decay exponentially as time goes to infinity provided the relaxation function also decays exponentially to zero. While if the relaxation functions decay polynomially to zero, then the energy decays also polynomially. That is, the kernel of the convolution defines the rate of decay of the solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005830811242
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