Coupled m-component fields with cubic anisotropy |
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| Affiliation: | 1. HP-NTU Digital Manufacturing Corporate Lab, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;3. HP Labs, 1501 Page Mill Road, Palo Alto, CA, 94304, USA;1. Institute for Frontier Materials, Deakin University, 75 Pigdons Road, Waurn Ponds, VIC 3216, Australia;2. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon 303-701, Republic of Korea;1. Fraunhofer Institute for Mechanics of Materials IWM, Woehlerstrasse 11, 79108 Freiburg, Germany;2. Institute for Structural Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70550 Stuttgart, Germany |
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| Abstract: | The critical behavior at phase transitions of two coupled, m-component systems with cubic anisotropy is studied by a simplified model in which the fluctuations are partially considered. The phase transition could be a new fluctuation-induced first order transition into the anisotropic phase, or a new second order phase transition. Unlike in uncoupled systems, the second order phase transition could be into either the anisotropic or isotropic phase. As expected, upon suppression of fluctuations, all results reduce to those of mean field theory. |
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