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Anomalous ordering in inhomogeneously strained materials
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Del Genio, Charo I. and Bassler, Kevin (2010) Anomalous ordering in inhomogeneously strained materials. Physical Review E, Vol.82 (No.3). Article no. 031115. doi:10.1103/PhysRevE.82.031115 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.82.031115
Abstract
We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of different system sizes and using finite size scaling, we measure critical exponents describing the transition of β=0.18±0.02, γ=1.0±0.1, and α=0.10±0.02. Comparable exponents have been reported in a variety of physical systems. These systems undergo a range of different types of phase transitions, including structural transitions, exciton percolation, and magnetic ordering. In particular, similar exponents have been found to describe the development of magnetic order at the onset of the pseudogap transition in high-temperature superconductors. Their common universal critical exponents suggest that the essential physics of the transition in all of these physical systems is the same as in our simple model. We argue that the nature of the transition in our model is related to surface transitions although our model has no free surface
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.82 | ||||
Number: | No.3 | ||||
Page Range: | Article no. 031115 | ||||
DOI: | 10.1103/PhysRevE.82.031115 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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