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Timothy
Halpin-Healy
Email: healy@phys.columbia.edu Telephone: (212)854-5102 Ph.D. 1987 Harvard University |
| |
Timothy
Halpin-Healy
Email: healy@phys.columbia.edu Telephone: (212)854-5102 Ph.D. 1987 Harvard University |
| Directed
Polymers vs. Directed Percolation, Phys.
Rev. E58, 4096RC (1998).
Chemical Wave Refraction Phenomena, Phys. Rev. E54, 3009 (1996). Kinetic Roughening, Stochastic Growth, Directed Polymers & all that, Phys. Rep. 254, 215-415 (1995). Disturbing the Random Energy Landscape, Phys. Rev. E48, 1617RC (1993). Depinning by Quenched Randomness, Phys. Rev. Lett. 67, 3463C (1991). Diverse Manifolds in Random Media, Phys. Rev. Lett. 62, 442 (1989). |
My primary interests include phase
transitions, critical phenomena, & the renormalization group; secondary
interests: kinetic roughening, reaction-diffusion systems, Nature's
pattern formation, and nonlinear dynamics. In recent years, I have concentrated
my efforts on understanding the statistical mechanics of directed polymers
in random media (DPRM), a baby version of the spin-glass and one of the
few tractable problems in ill-condensed matter. Because of a mapping via
the stochastic Burgers equation, the DPRM pays off handsomely, with important implications for vortex-line wandering in disordered
superconductors, the propagation of flame fronts, domain-wall roughening
in impurity-stricken magnets, as well as the dynamic scaling properties
of Eden clusters. The tools of my trade are based upon the renormalization
group in modern form, including both numerical and analytical approaches.
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