Электронный каталог

Статья

Antonov, N.V.
Renormalization Group Analysis of a Continuous Model with Self-Organized Criticality: Effects of Randomly Moving Environment / N.V.Antonov, P.I.Kakin, N.M.Lebedev, A.Yu.Luchin // Nuclear Physics B. – 2025. – Vol. 1018. – P. 117035. – URL: https://doi.org/10.1016/j.nuclphysb.2025.117035. – Bibliogr.: 55.

We study a strongly anisotropic self-organized critical system coupled to an isotropic random fluid environment. The former is described by a continuous (coarse-grained) model due to Hwa and Kardar. The latter is modelled by the Navier—Stokes equation with a random stirring force of a rather general form that includes, in particular, the overall shaking of the system and a nonlocal part with power-law spectrum ∼ 𝑘&sup(4−𝑑−𝑦) that describes, in the limiting case 𝑦 *> 4, a turbulent fluid. The full problem of the two coupled stochastic equations is represented as a field theoretic model which is shown to be multiplicatively renormalizable and logarithmic at 𝑑 = 4. Due to the interplay between isotropic and anisotropic interactions, the corresponding renormalization group (RG) equations reveal a rich pattern of possible infrared (large scales, long times) regimes of asymptotic behaviour of various Green’s functions. The attractors of the RG equations in the five-dimensional space of coupling parameters include a two-dimensional surface of Gaussian (free) fixed points, a single fixed point that corresponds to the plain advection by the turbulent fluid (the Hwa–Kardar self-interaction is irrelevant) and a one-dimensional curve of fixed points that corresponds to the case where the Hwa–Kardar nonlinearity and the uniform stirring are simultaneously relevant. The character of attractiveness is determined by the exponent 𝑦 and the dimension of space 𝑑; the most interesting case 𝑑 = 3 and 𝑦 *> 4 is described by the single fixed point. The corresponding critical dimensions of the frequency and the basic fields are found exactly



Спец.(статьи,препринты) = С 324.3 - Аксиоматическая теория поля. Аналитические свойства матричных элементов и дисперсионные соотношения. Разложение операторов вблизи светового конуса. Вопросы регуляризации и перенормировки. Размерная регуляризация$
ОИЯИ = ОИЯИ (JINR)2025