Journal article
Weak universality of dynamical $$\Phi ^4_3$$: Non-Gaussian noise
- Abstract:
- We consider a class of continuous phase coexistence models in three spatial dimensions. The fluctuations are driven by symmetric stationary random fields with sufficient integrability and mixing conditions, but not necessarily Gaussian.We show that, in the weakly nonlinear regime, if the external potential is a symmetric polynomial and a certain average of it exhibits pitchfork bifurcation, then these models all rescale to $$\Phi ^4_3$$ near their critical point.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 807.8KB, Terms of use)
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- Publisher copy:
- 10.1007/s40072-017-0107-4
Authors
- Publisher:
- Springer
- Journal:
- Stochastics and Partial Differential Equations: Analysis and Computations More from this journal
- Volume:
- 6
- Issue:
- 2
- Pages:
- 211-254
- Publication date:
- 2017-10-16
- Acceptance date:
- 2017-10-16
- DOI:
- EISSN:
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2194-041X
- ISSN:
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2194-0401
- Language:
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English
- Keywords:
- Pubs id:
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pubs:953419
- UUID:
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uuid:29fe7ea5-1edf-4064-a88f-b1048d793fce
- Local pid:
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pubs:953419
- Source identifiers:
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953419
- Deposit date:
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2018-12-19
Terms of use
- Copyright holder:
- Shen and Xu
- Copyright date:
- 2017
- Notes:
- © The Author(s). This article is published with open access at Springerlink.com 2017 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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