Abstract
A “persistence” exponent θ has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: For zero-temperature homogeneous Ising models on the d-dimensional cubic lattice Zdthe fraction p(t) of spins not flipped by time t decays to zero like t-θ(d) for low d; for high d, p(t) may decay to p(∞) > 0, because of “blocking” (but perhaps still like a power). What are the effects of disorder or changes of the lattice? We show that these can quite generally lead to blocking (and convergence to a metastable configuration) even for low d, and then present two examples–one disordered and one homogeneous–where p(t) decays exponentially to p(θ).
Original language | English (US) |
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Pages (from-to) | 3944-3947 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 82 |
Issue number | 20 |
DOIs | |
State | Published - 1999 |
ASJC Scopus subject areas
- General Physics and Astronomy