Historically, most renormalization group studies have been performed for equilibrium systems. Here, I give a personal reflection on the unexpected outcome of studying non-equilibrium flocking using renormalization methods.
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References
Wilson, K. G. Rev. Mod. Phys. 47, 773–840 (1975).
Kadanoff, L. P. Phys. Phys. Fiz. 2, 263–272 (1966).
Wilson, K. G. & Fisher, M. E. Phys. Rev. Lett. 28, 240–243 (1972).
Halperin, B. I., Hohenberg, P. C. & Ma, S.-k Phys. Rev. Lett. 29, 1548–1551 (1972).
Bausch, R., Janssen, H. K. & Wagner, H. Z. Phys. B Condens. Matter 24, 113–127 (1976).
Hohenberg, P. C. & Halperin, B. I. Rev. Mod. Phys. 49, 435–479 (1977).
Kardar, M., Parisi, G. & Zhang, Y.-C. Phys. Rev. Lett. 56, 889–892 (1986).
Medina, E., Hwa, T., Kardar, M. & Zhang, Y.-C. Phys. Rev. A 39, 3053–3075 (1989).
Canet, L., Chaté, H., Delamotte, B. & Wschebor, N. Phys. Rev. Lett. 104, 150601 (2010).
Kessler, D. A., Levine, H. & Tu, Y. Phys. Rev. A 43, 4551–4554 (1991).
Tu, Y. Phys. Rev. Lett. 73, 3109–3112 (1994).
Reynolds, C. W. SIGGRAPH Comput. Graph. 21, 25–34 (1987).
Mermin, N. D. & Wagner, H. Phys. Rev. Lett. 17, 1133–1136 (1966).
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I. & Shochet, O. Phys. Rev. Lett. 75, 1226–1229 (1995).
Toner, J. & Tu, Y. Phys. Rev. Lett. 75, 4326–4329 (1995).
Tu, Y., Toner, J. & Ulm, M. Phys. Rev. Lett. 80, 4819–4822 (1998).
Toner, J. & Tu, Y. Phys. Rev. E 58, 4828–4858 (1998).
Chen, L., Lee, C. F., Maitra, A. & Toner, J. Phys. Rev. Lett. 129, 188004 (2022).
Cavagna, A. et al. Nat. Phys. 19, 1043–1049 (2023).
Gazi, V. & Passino, K. IEEE T. Automat. Contr. 48, 692–697 (2003).
Helbing, D. Rev. Mod. Phys. 73, 1067–1141 (2001).
Meshulam, L., Gauthier, J. L., Brody, C. D., Tank, D. W. & Bialek, W. Phys. Rev. Lett. 123, 178103 (2019).
Morales, G. B., di Santo, S. & Muñoz, M. A. Proc. Natl Acad. Sci. USA 120, e2208998120 (2023).
Yu, Q., Zhang, D. & Tu, Y. Phys. Rev. Lett. 126, 080601 (2021).
Yu, Q. & Tu, Y. Phys. Rev. E 105, 044140 (2022).
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The author would like to acknowledge insightful discussions with H. Chate.
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Tu, Y. The renormalization group for non-equilibrium systems. Nat. Phys. 19, 1536–1538 (2023). https://doi.org/10.1038/s41567-023-02196-z
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DOI: https://doi.org/10.1038/s41567-023-02196-z
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