Statistics of wave interactions in nonlinear disordered systems

التفاصيل البيبلوغرافية
العنوان: Statistics of wave interactions in nonlinear disordered systems
المؤلفون: Krimer, D. O., Flach, S.
المصدر: Phys. Rev. E 82, 046221 (2010)
سنة النشر: 2010
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Disordered Systems and Neural Networks
الوصف: We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap integrals which determine the interaction strength, iii) the average spacing between eigenvalues of interacting modes, which sets a scale for the nonlinearity strength, and iv) resonance probabilities of interacting modes. Our results are discussed in the light of recent studies on spreading of wave packets in disordered nonlinear systems, and are related to the quantum many body problem in a random chain.
Comment: 7 pages, 7 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.82.046221
URL الوصول: http://arxiv.org/abs/1005.4820
رقم الانضمام: edsarx.1005.4820
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.82.046221