17,315 research outputs found
Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?
We study phase ordering dynamics in the three-dimensional nearest-neighbor
Ising model, following rapid quenches from infinite to zero temperature.
Results on various aspects, viz., domain growth, persistence, aging and
pattern, have been obtained via the Glauber Monte Carlo simulations of the
model on simple cubic lattice. These are analyzed via state-of-the-art methods,
including the finite-size scaling, and compared with those for quenches to a
temperature above the roughening transition. Each of these properties exhibit
remarkably different behavior at the above mentioned final temperatures. Such a
temperature dependence is absent in the two-dimensional case for which there is
no roughening transition
Coarsening in 3D Nonconserved Ising Model at Zero Temperature: Anomalies in structure and relaxation of order-parameter autocorrelation
Via Monte Carlo simulations we study pattern and aging during coarsening in
nonconserved nearest neighbor Ising model, following quenches from infinite to
zero temperature, in space dimension . The decay of the order-parameter
autocorrelation function is observed to obey a power-law behavior in the long
time limit. However, the exponent of the power-law, estimated accurately via a
state-of-art method, violates a well-known lower bound. This surprising fact
has been discussed in connection with a quantitative picture of the structural
anomaly that the 3D Ising model exhibits during coarsening at zero temperature.
These results are compared with those for quenches to a temperature above that
of the roughening transition.Comment: 15 pages, 6 figure
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