| Autor: |
Antonov, Nikolai V., Kakin, Polina I., Lebedev, Nikita M., Luchin, Aleksandr Yu. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2731 Issue 1, p1-6, 6p |
| Abstrakt: |
A system with self-organized criticality in a randomly moving environment is studied with field theoretic renormalization group analysis. The system is described by the anisotropic model of a "running sandpile" (continuous stochastic equation) introduced by Hwa and Kardar in [Phys. Rev. Lett.62: 1813 (1989)]. Moving environment is modelled by the Navier-Stokes equation for a randomly stirred incompressible fluid. We find a system of β-functions whose zeroes (being coordinates of fixed points of renormalization group equation) determine universality classes – regimes of critical behavior. It turns out that at most realistic values of the spatial dimension d = 2 and d = 3 there exists universality class of the pure advection by randomly moving environment (i.e., of a passively advected scalar field). Thus, isotropic motion renders both the nonlinearity of the Hwa-Kardar model and its anisotropy marginal (or irrelevant) for long-time large-distance behavior. Practical calculations are performed to the first order of the expansion in small parameter ε (one-loop approximation). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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