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Dynamic Scaling of Growing Interfaces
Abstract
A model is proposed for the evolution of the profile of a growing interface. The deterministic growth is solved exactly, and exhibits nontrivial relaxation patterns. The stochastic version is studied by dynamic renormalization-group techniques and by mappings to Burgers's equation and to a random directed-polymer problem. The exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations. Predictions are made for more dimensions.
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Cited by
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Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
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Sieberer, L. M., Buchhold, M., & Diehl, S. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/9/096001 · Cited by 568
Stable flocking of mobile agents. II. Dynamic topology
Tanner, H. G., Jadbabaie, A., & Pappas, G. J. (2004) · 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) · doi:10.1109/cdc.2003.1272911 · Cited by 527
Metadata
- Authors
- Kardar, M., Parisi, G., & Zhang, Y.-C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-03-03
- Volume
- 56
- Issue
- 9
- Pages
- 889-892
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2087496472
- Cited by
- 5,380
- References
- 0
- FWCI
- 20.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kardar, M., Parisi, G., & Zhang, Y.-C. (1986). Dynamic Scaling of Growing Interfaces. Physical Review Letters. https://doi.org/10.1103/physrevlett.56.889
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
