Professor of Physics, Barnard College, Columbia University
Mentors: Bert Halperin,
Mehran Kardar, Edouard Brézin
Thesis Advisor: David Gross
1+1 KPZ Class PDFs:
Ulam, Tracy-Widom & Baik-Rains, THH/LL,
Phys. Rev. E 89, 010103 (2014).
2+1 KPZ: Experiment,
Europhys. Lett. 105, 50001 (2014). *Editor's Choice
2+1 KPZ: Universal Distributions, THH,
Phys. Rev. Lett. 109, 170602 (2012).
Phys. Rev. E88, 042118 (2013).
The Dynamics of Conformity & Dissent,
Arne Soulier & THH, Phys. Rev. Lett. 90, 258103 (2003).
Directed Polymers vs. Directed Percolation PRE58, R4096 (1998).
Chemical Wave Refraction Phenomena, Sin-Chun Hwang BC'96, & THH, Phys. Rev. E54, 3009 (1996).
Kinetic Roughening, Stochastic Growth, Directed Polymers & all that,THH & Y-C Zhang, Phys. Rep. 254, 215-415 (1995).
Disturbing the Random Energy Landscape, THH & D. Herbert BC'92, Phys. Rev. E48, 1617RC (1993).
Depinning by Quenched Randomness, Phys. Rev. Lett. 67, 3463C (1991).
Diverse Manifolds in Random Media, THH, Phys. Rev. Lett. 62, 442 (1989).
My primary interests include phase
transitions, critical phenomena, & the renormalization group; secondary
concerns: kinetic roughening, reaction-diffusion systems, nonlinear dynamics, Nature's
pattern formation. 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. Tools of the trade are tied to the renormalization
group in modern form, including both numerical and analytical approaches.
Listed at left are a number of papers that I take particular pride in. They give
a good sense of the statistical mechanical problems I like to work on.
Columbia Graduate Students:
Martin Z CU*91, Yi-Kuo Yu CU*94, N.-N. Pang CU*95, Arne Soulier CU*02, Aylin Cimenser CU*04
Barnard Researchers, selection:
B. Tamminga BC'93, Yick Chan BC'93, Sheila David BC'95, Hasmik Diratzouian BC'96, Rocio Patino BC'96, Michelle Baird BC'96, Rocky Novoseller BC'98,
Mary Pratt BC'01, Natalie Arkus BC'03, WKWong BC'06, Whitney Becker BC'07, Erin Sperry BC'11, Yuexia Lin BC'15.
CU Summer HS Program:
i) Session I: Expt'l & Theoretical Physics-
Class: '5, '6, '7, '8, '9, '10, '11, '12, '13, '14 ii) Session II: BootCamp for Budding String Theorists- Inaugural Class-2009, '10, '11