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Abstract: We study a continuous quasi-two-dimensional order-disorder phase transitionthat occurs in a simple model of a material that is inhomogeneously straineddue to the presence of dislocation lines. Performing Monte Carlo simulations ofdifferent system sizes and using finite size scaling, we measure criticalexponents describing the transition of beta=0.18\pm0.02, gamma=1.0\pm0.1, andalpha=0.10\pm0.02. Comparable exponents have been reported in a variety ofphysical systems. These systems undergo a range of different types of phasetransitions, including structural transitions, exciton percolation, andmagnetic ordering. In particular, similar exponents have been found to describethe development of magnetic order at the onset of the pseudogap transition inhigh-temperature superconductors. Their common universal critical exponentssuggest that the essential physics of the transition in all of these physicalsystems is the same as in our model. We argue that the nature of the transitionin our model is related to surface transitions, although our model has no freesurface.



Author: Charo I. Del Genio, Kevin E. Bassler

Source: https://arxiv.org/







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