Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Executive Committee 
 Postdocs 
 Visitors 
 Students 
 Research 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 P/T Colloquia 
 Archive 
 Ulam Scholar 
 
 Postdoc Nominations 
 Student Requests 
 Student Program 
 Visitor Requests 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
 Nonlinear Behavior in Complex Systems (2005-2007)

The emergence and appreciation of universal approaches to complex systems are based on notions of nonlinearity, especially low-dimensional dynamical systems, pattern formation, and coherent/localized states, i.e., solitons. From this rich but rather restricted sense of nonlinearity, there has emerged a broader viewpoint often referred to as the study of complex systems. We use the tools of nonlinear science combined with other techniques from statistical physics, mathematical physics and applied mathematics to study traditional problems in pattern formation and solitons as well as complex states of real world significance. Examples include global climate, the characterization of systems beyond experimental testing, design and manufacture of complex micro- and nano-scale devices and systems, the understanding of materials with complicated structure arising from meso-scale features, and non-equilibrium statistical mechanics of material failure under high strain rate conditions. Of particular emphasis:
  • Solitons, patterns and nonlinear dynamics
  • Excitations in condensed matter materials
  • Nature of mathematical equations
Highlight Publications:
  1. Amoruso, C., A. K. Hartmann, M. B. Hastings, and M. A. Moore. Conformal invariance and stochastic Loewner evolution processes in two-dimensional Ising spin glasses. 2006. Physical Review Letters. 97 (26): 267202.
  2. Araujo, P.T., S. K. Doorn, S. Kilina, S. Tretiak, E. Einarsson, S. Maruyama, H. Chacham, M. A. Pimenta, and A. Jorio. Third and fourth optical transitions in semiconducting carbon nanotubes. 2007. Physical Review Letters. 98 (6): 067401.
  3. Bender, C.M., and E. Ben-Naim. Nonlinear integral-equation formulation of orthogonal polynomials. 2007. Journal of Physics A-Mathematical and Theoretical. 40 (1): F9.
  4. Gambetta, A., C. Manzoni, E. Menna, M. Meneghetti, G. Cerullo, G. Lanzani, S. Tretiak, A. Piryatinski, A. Saxena, R. L. Martin, and A. R. Bishop. Real-time observation of nonlinear coherent phonon dynamics in single-walled carbon nanotubes. 2006. Nature Physics. 2 (8): 515.
  5. Peters, O., and J. D. Neelin. Critical phenomena in atmospheric precipitation. 2006. Nature Physics. 2 (6): 393.
  6. Piryatinski, A., M. Stepanov, S. Tretiak, and V. Chernyak. Semiclassical scattering on conical intersections. 2005. Physical Review Letters. 95 (22): 223001.
  7. Shreve, A., E. Haroz, S. Bachilo, R. Weisman, S. Tretiak, S. Kilina, and S. Doorn. Determination of exciton-phonon coupling elements in singe-walled carbon nano-tubes by Raman overtone analysis. 2007. Physical Review Letters. 98 (3): 037405.
  8. Tretiak, S., S. Kilina, A. Piryatinski, A. Saxena, R. Martin, and A. Bishop. Excitons and Peierls distortion in conjugated carbon nanotubes. 2007. Nanoletters. 7 (1): 86.
  9. 1.Wu, C., S. Tretiak, and V. Y. Chernyak. Excited states and optical response of a donor-acceptor substituted polyene: A TD-DFT study. 2007. Chemical Physics Letters. 433 (4-6): 305.
  10. 1.Wu, C., S. V. Malinin, S. Tretiak, and V. Y. Chernyak. Exciton scattering and localization in branched dendrimeric structures. 2006. Nature Physics. 2 (9): 631.
LANL Operated by the Triad National Security, LLC for the National Nuclear Security Administration of the US Department of Energy.
Copyright © 2003 LANS, LLC | Disclaimer/Privacy