The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Hydrodynamic fluctuations at the convective instability
Abstract
The effects of thermal fluctuations on the convective instability are considered. It is shown that the Langevin equations for hydrodynamic fluctuations are equivalent, near the instability, to a model for the crystallization of a fluid in equilibrium. Unlike the usual models, however, the free energy of the present system does not possess terms cubic in the order parameter, and therefore the system undergoes a second-order transition in mean-field theory. The effects of fluctuations on such a model were recently discussed by Brazovskii, who found a first-order transition in three dimensions. A similar argument also leads to a discontinuous transition for the convective model, which behaves two dimensionally for sufficiently large lateral dimensions. The magnitude of the jump is unobservably small, however, because of the weakness of the thermal fluctuations being considered. The relation of the present analysis to the work of Graham and Pleiner is discussed.
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Citations
Cites
Hydrodynamic and hydromagnetic stability
Chandrasekhar, S. (1961) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6,730
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Self-citationHydrodynamic fluctuations near the convection instability
Graham, R. (1974) · Physical Review A · doi:10.1103/physreva.10.1762 · Cited by 198
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Hydrodynamics of Cholesteric Liquid Crystals
Lubensky, T. C. (1972) · Physical Review A · doi:10.1103/physreva.6.452 · Cited by 152
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Self-citationDirecting the self-assembly of block copolymers
Darling, S. B. (2007) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2007.05.004 · Cited by 1,019
Torquato, S. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.03.001 · Cited by 499
Renormalization Group Theory for Global Asymptotic Analysis
Chen, L. Y., Goldenfeld, N., & Oono, Y. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.1311 · Cited by 260
Dissipative Structures, Organisms and Evolution
Kondepudi, D. K., De Bari, B., & Dixon, J. A. (2020) · Entropy · doi:10.3390/e22111305 · Cited by 69
Metadata
- Authors
- Swift, J., & Hohenberg, P. C.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1977-01-01
- Volume
- 15
- Issue
- 1
- Pages
- 319-328
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2000883601
- Cited by
- 1,648
- References
- 9
- FWCI
- 5.40
- Type
- journal article
- Language
- en
- Open access
- closed
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