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Katja Lindenberg
Theoretical chemical physics: non-equilibrium statistical mechanics;
stochastic processes; nonlinear phenomena; complex systems; condensed matter.
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| Contact Information |
| Office: UH 3202 |
| Phone: (858) 534-3285 |
| Fax: (858) 534-7244 |
| Email: klindenberg@ucsd.edu |
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| Education and Appointments |
| 1967 |
Ph.D., Cornell University
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| 1962 |
B.A., Alfred University
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| Research Interests |
Statistical mechanics is a "language of science" that can be applied to many different problems. Our interests lie in developing this language in the context of different generic questions. Our work spans a broad range of topics in non-equilibrium statistical mechanics,nonlinear physical and chemical systems, dynamical processes in granular materials, and reaction-diffusion models. A few examples follow.
The localization and transport of energy in nonlinear media, and associated questions involving signal propagation and transmission of information, are essential for the successful operation of systems on a variety of spatial and temporal scales. Examples range from molecular biopolymers to surfaces and to granular materials. We focus on the formulation of microscopic or mesoscopic mechanisms to explain observed behavior and exploit parameter control for desired designed behavior.
Pattern formation and synchronization and, more generally, the spontaneous occurrence of order in thermodynamically open systems, are ubiquitous phenomena. Patterns can be spatial (the stripes on a zebra), temporal (circadian rhythms or the flashing of fireflies), or spatio-temporal (chemical oscillations in excitable media, or the appearance of dynamical patterns in bilayers or the mechanical oscillations in granular beds). Of particular interest to us are noisy systems, including those in which one observes noise-induced ordering phenomena.
Chemical reactions in which mixing is diffusion- or subdiffusion limited often do not follow the usual kinetic rules. In constrained geometries such as wires, capillaries, surfaces, polymers, cells, and fractal structures, reactions are profoundly affected by system geometry and connectivity. The effects are seen not only in the kinetic laws but also in the spatial evolution that may involve species aggregation and segregation and unstable fronts.
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| Primary Research Area: |
Interdisciplinary Specialties: |
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Physical/Analytical Chemistry
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Computational and Theoretical
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| Image Gallery: |
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Figure 1: Typical spatial patterns in two-component deformable reactive bilayers. |
Figure 2: Purely noise-induced spatio-temporal oscillatory structure (limit cycle) in a two-field relaxational system. |
| Selected Publications |
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From Subdiffusion to Superdiffusion of Particles on Solid Surfaces,
A. M. Lacasta, J.M. Sancho, A.H. Romero, I. M. Sokolov, and K.
Lindenberg, Phys. Rev. E Vol. 70, 051104 (2004).
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Nonequilibrium Patterns and Shape Fluctuations in Reactive Membranes,
R. Reigada, J. Buceta, and K. Lindenberg, Phys. Rev. E Vol. 71,
051906 (2005).
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Sorting on Periodic Surfaces, A. M. Lacasta, J. M. Sancho, A. H.
Romero, and K. Lindenberg, Phys. Rev. Lett. Vol. 94, 160601 (2005).
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Trapping Reactions With Subdiffusive Traps and Particles Characterized
by Different Anomalous Diffusion Exponents, S. B. Yuste and K.
Lindenberg, Phys. Rev. E Vol. 72, 061103 (2005).
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The Universality of Synchrony: Critical Behavior in a Discrete Model
of Stochastic Phase Coupled Oscillators, K. Wood, C. Van den Broeck,
R. Kawai, and K. Lindenberg, Phys. Rev. Lett. Vol. 96, 145701 (2006).
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