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Monte Carlo results for the Ising model with shear
E N M Cirillo1, G Gonnella, G P Saracco
1Dipartimento de Metodi e Modelli Matematici, Facoltà di Ingegneria, Universita di Roma La Sapienza, via A. Scarpa 16, 00161 Rome, Italy.
Summary
We investigated domain growth in the Ising model under shear flow. Multistriped patterns emerged with linear growth, and weak shear showed decreasing transversal size, aligning with theory.
Area of Science:
- Statistical mechanics
- Condensed matter physics
Background:
- Domain growth is crucial in understanding phase transitions.
- Nonconserved dynamics and stochastic fields influence system evolution.
Purpose of the Study:
- To analyze domain growth kinetics in the Ising model under simulated shear flow.
- To identify emergent patterns and growth dynamics.
Main Methods:
- Simulations of the Ising model with nonconserved dynamics.
- Application of a stochastic driving field mimicking shear flow.
- Analysis of structure factor patterns.
Main Results:
- Observed multistriped configurations at late times.
- Identified linear growth in the flow direction and constant transversal size.
- Found a decreasing transversal size regime under weak shear, consistent with theory.
Conclusions:
- The Ising model with shear flow exhibits distinct domain growth patterns.
- Weak shear introduces a unique regime influencing domain morphology.
- Structure factor analysis validates the observed dynamical behaviors.