Research output: Contribution to journal › Article › peer-review
Random Walk on a Random Rough Surface: Renormalization Group Analysis of Two Models. / Антонов, Николай Викторович; Гулицкий, Николай Михайлович; Какинь, Полина Игоревна; Романчук, Анастасия Сергеевна.
In: Physics of Particles and Nuclei Letters, Vol. 22, No. 3, 01.06.2025, p. 512-516.Research output: Contribution to journal › Article › peer-review
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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