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@article{1545d9817bc647e89bbe4be5d4e55b8f,
title = "Random Walk on a Random Rough Surface: Renormalization Group Analysis of Two Models",
abstract = "Abstract: In this paper we consider two models of random walks on a random rough surface. In the first model the growth and fluctuations of the surface are modelled by Edwards–Wilkinson linear model, in second case they are modelled by non-linear Kardar–Parisi–Zhang equation. Despite the nonlinearity of the second model, ordinary perturbation theory gives us trivial critical dimensions and the only way to get non-trivial results is due to non-perturbative effects.",
author = "Антонов, {Николай Викторович} and Гулицкий, {Николай Михайлович} and Какинь, {Полина Игоревна} and Романчук, {Анастасия Сергеевна}",
year = "2025",
month = jun,
day = "1",
doi = "10.1134/S1547477125700062",
language = "English",
volume = "22",
pages = "512--516",
journal = "Physics of Particles and Nuclei Letters",
issn = "1547-4771",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Random Walk on a Random Rough Surface: Renormalization Group Analysis of Two Models

AU - Антонов, Николай Викторович

AU - Гулицкий, Николай Михайлович

AU - Какинь, Полина Игоревна

AU - Романчук, Анастасия Сергеевна

PY - 2025/6/1

Y1 - 2025/6/1

N2 - Abstract: In this paper we consider two models of random walks on a random rough surface. In the first model the growth and fluctuations of the surface are modelled by Edwards–Wilkinson linear model, in second case they are modelled by non-linear Kardar–Parisi–Zhang equation. Despite the nonlinearity of the second model, ordinary perturbation theory gives us trivial critical dimensions and the only way to get non-trivial results is due to non-perturbative effects.

AB - Abstract: In this paper we consider two models of random walks on a random rough surface. In the first model the growth and fluctuations of the surface are modelled by Edwards–Wilkinson linear model, in second case they are modelled by non-linear Kardar–Parisi–Zhang equation. Despite the nonlinearity of the second model, ordinary perturbation theory gives us trivial critical dimensions and the only way to get non-trivial results is due to non-perturbative effects.

UR - https://www.mendeley.com/catalogue/c98275a3-4b29-3214-8261-e83ea18ec163/

U2 - 10.1134/S1547477125700062

DO - 10.1134/S1547477125700062

M3 - Article

VL - 22

SP - 512

EP - 516

JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 3

ER -

ID: 136234025