We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability of a domain, S(t)∼t−ψ, and an unreacted domain, Q1(t)∼t−δ, are characterized by two independent nontrivial exponents. We develop an independent interval approximation that provides close estimates for many characteristics of the domain length and number distributions including the scaling exponents.
Domain Number Distribution in the Nonequilibrium Ising Model
Published 1998 in Journal of Statistical Physics
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- Publication year
1998
- Venue
Journal of Statistical Physics
- Publication date
1998-03-03
- Fields of study
Mathematics, Physics
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