Theoretical chemical physics: non-equilibrium statistical mechanics;
stochastic processes; nonlinear phenomena; complex systems; condensed matter.
Ph.D., , Cornell University
B.A., , Alfred University
, , UCSD
, Postdoc, University of Rochester
Awards and Academic Honors
UCSD Academic Senate Distinguished Teaching Award
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.
Primary Research Area
Computational and Theoretical
Typical spatial patterns in two-component deformable reactive bilayers.
Purely noise-induced spatio-temporal oscillatory structure (limit cycle) in a two-field relaxational system.
- Weak disorder: Anomalous transport and diffusion are normal yet again, M. Khoury, A.M. Lacasta, J.M. Sancho and K. Lindenberg, Phys. Rev. Lett. Vol. 106,090602 (2011).
- A reaction-subdiffusion model of morphogen gradient formation, S.B, Yuste, E. Abad, and K. Lindenberg, Phys. Rev. E Vol. 82, 061123 (2010).
- Efficiency at maximum power of low-dissipation Carnot engines, M. Esposito, R. Kawai, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. Vol. 105, 150603 (2010).
- Finite time thermodynamics for a single level quantum dot, M. Esposito, R. Kawai, K. Lindenberg, and C. Van den Broeck, Europhys. Lett. Vol. 89, 20003 (2010).
- Intermittent search strategies revisited: Effect of jump length and biased motion, J. Rojo, J. Revelli, C.E. Budde, H.S. Wio, G. Oshanin, and K. Lindenberg, J. Phys. A: Math. Theor. Vol. 43, 345001 (2010).
- Pulse propagation in a chain of O-rings with and without precompression, Italo'Ivo L.D. Pinto, A. Rosas, A.H. Romero, and K. Lindenberg, Phys. Rev. E Vol. 81, 031308 (2010).
- Quantum dot Carnot engine at maximum power, M. Esposito, R. Kawai, K. Lindenberg, and C. Van den Broeck, Phys. Rev. E Vol. 81, 041106 (2010).
- Pulse Propagation in Tapered Granular Chains: An Analytic Study, with U. Harbola, A. Rosas, and M. Esposito, Phys. Rev. E. Vol. 80, 031303 (2009).
- Thermoelectric Efficiency at Maximum Power in a Quantum Dot, with M. Esposito and C. Van den Broeck, Europhys. Lett. Vol. 85, 60010 (2009).
- Universality of Efficiency at Maximum Power, with M. Esposito and C. Van den Broeck, Phys. Rev. Lett. Vol. 102, 130602 (2009).