Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Summer Research 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Monday, March 30, 2015
3:00 PM - 4:00 PM
CNLS Conference Room (TA-3, Bldg 1690)


Fate of the Kinetic Ising and Potts Model

Sidney Redner
Santa Fe Institute

What happens when the Ising model initially at infinite temperature is suddenly cooled to zero temperature and subsequently evolves by single spin-flip dynamics? In two dimensions, the ground state is reached only about 2/3 of the time, and the evolution is characterized by two distinct time scales, the longer of which arises from topological defects. There is also an intriguing and deep connection between domain topologies and continuum percolation. In three dimensions, the ground state is never reached and (i) domains at long times are topologically complex, with average genus growing algebraically with system size; (ii) "blinker" spins always arise that can flip ad infinitum with no energy cost; (iii) the relaxation time grows exponentially with system size. The zero-temperature coarsening of the q-state Potts model is richer still. In two dimensions, acroscopic avalanches may occur at long times that drive apparently frozen systems to the ground state.

Host: Aric Hagberg