Modeling mesoscopic phenomena in extended dynamical systems

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This is the final report of a three-year, Laboratory-Directed Research and Development project at the Los Alamos National Laboratory (LANL). We have obtained classes of nonlinear solutions on curved geometries that demonstrate a novel interplay between topology and geometric frustration relevant for nanoscale systems. We have analyzed the nature and stability of localized oscillatory nonlinear excitations (multi-phonon bound states) on discrete nonlinear chains, including demonstrations of successful perturbation theories, existence of quasiperiodic excitations, response to external statistical time-dependent fields and point impurities, robustness in the presence of quantum fluctuations, and effects of boundary conditions. We have demonstrated multi-timescale effects for ... continued below

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11 p.

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Bishop, A.; Lomdahl, P.; Jensen, N.G.; Cai, D.S.; Mertenz, F.; Konno, Hidetoshi et al. August 1, 1997.

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Description

This is the final report of a three-year, Laboratory-Directed Research and Development project at the Los Alamos National Laboratory (LANL). We have obtained classes of nonlinear solutions on curved geometries that demonstrate a novel interplay between topology and geometric frustration relevant for nanoscale systems. We have analyzed the nature and stability of localized oscillatory nonlinear excitations (multi-phonon bound states) on discrete nonlinear chains, including demonstrations of successful perturbation theories, existence of quasiperiodic excitations, response to external statistical time-dependent fields and point impurities, robustness in the presence of quantum fluctuations, and effects of boundary conditions. We have demonstrated multi-timescale effects for nonlinear Schroedinger descriptions and shown the success of memory function approaches for going beyond these approximations. In addition we have developed a generalized rate-equation framework that allows analysis of the important creation/annihilation processes in driven nonlinear, nonequilibiium systems.

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11 p.

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OSTI as DE97008579

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  • Other Information: PBD: [1997]

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  • Other: DE97008579
  • Report No.: LA-UR--97-2173
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/522274 | External Link
  • Office of Scientific & Technical Information Report Number: 522274
  • Archival Resource Key: ark:/67531/metadc698662

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  • August 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • May 20, 2016, 4:27 p.m.

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Bishop, A.; Lomdahl, P.; Jensen, N.G.; Cai, D.S.; Mertenz, F.; Konno, Hidetoshi et al. Modeling mesoscopic phenomena in extended dynamical systems, report, August 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc698662/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.