Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Kakin, P. I."'
We study a model of random walk on a fluctuating rough surface using the field-theoretic renormalization group (RG). The surface is modelled by the well-known Kardar--Parisi--Zhang (KPZ) stochastic equation while the random walk is described by the s
Externí odkaz:
http://arxiv.org/abs/2410.19171
The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modelled by the stochastic Navier--Stokes equation, which includes both a fl
Externí odkaz:
http://arxiv.org/abs/2407.13783
Publikováno v:
Phys. Part. Nuclei Lett. 20, 1078-1080 (2023)
Kinetic roughening of a randomly growing surface can be modelled by the Kardar-Parisi-Zhang equation with a time-independent (``spatially quenched'' or ``columnar'') random noise. In this paper, we use the field-theoretic renormalization group approa
Externí odkaz:
http://arxiv.org/abs/2302.03448
Publikováno v:
Universe 2023, 9(3), 139
The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a uniform gravitational field. The surface is modelled by the generalized
Externí odkaz:
http://arxiv.org/abs/2302.03444
Publikováno v:
J. Phys. A: Math. Theor. 56, 375002 (2023)
We study a self-organized critical system coupled to an isotropic random fluid environment. The former is described by a strongly anisotropic continuous (coarse-grained) model introduced by Hwa and Kardar [Phys. Rev. Lett. {\bf 62} 1813 (1989); Phys.
Externí odkaz:
http://arxiv.org/abs/2212.01913
Publikováno v:
Universe 8(2), 72 (2022)
We study the stochastic Kardar-Parisi-Zhang equation for kinetic roughening where the time-independent (columnar or spatially quenched) Gaussian random noise $f(t,{\bf x})$ is specified by the pair correlation function $\langle f(t,{\bf x})f(t',{\bf
Externí odkaz:
http://arxiv.org/abs/2110.13700
Publikováno v:
Int. J. Mod. Phys. A Vol. 37, No. 33, 2240022 (2022)
The paper addresses two unusual scaling regimes (types of critical behaviour) predicted by the field-theoretic renormalization group analysis for a self-organized critical system with turbulent motion of the environment. The system is modelled by the
Externí odkaz:
http://arxiv.org/abs/2104.12074
Publikováno v:
Universe 6, 145 (2020)
We study a self-organized critical system under influence of turbulent motion of the environment. The system is described by the anisotropic continuous stochastic equation proposed by Hwa and Kardar [{\it Phys. Rev. Lett.} {\bf 62}: 1813 (1989)]. The
Externí odkaz:
http://arxiv.org/abs/2009.00302
Publikováno v:
Phys. Rev. E 103, 042106 (2021)
Self-organized criticality in the Hwa-Kardar model of "running sandpile" [Phys. Rev. A 45, 7002 (1992)] with a turbulent motion of the environment taken into account is studied with the field theoretic renormalization group (RG). The turbulent flow i
Externí odkaz:
http://arxiv.org/abs/2005.04756
Publikováno v:
Phys. Scr. 95, 084009 (2020)
The Kardar-Parisi-Zhang model of non-equilibrium critical behaviour (kinetic surface roughening) with turbulent motion of the environment taken into account is studied by the field theoretic renormalization group approach. The turbulent motion is des
Externí odkaz:
http://arxiv.org/abs/2002.12768