@article{10902/36101,
year = {2025},
month = {1},
url = {https://hdl.handle.net/10902/36101},
abstract = {Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples have been recently reported for simpler situations dominated by time-dependent noise, as in the discrete growth system associated with an Ising model proposed by Dashti-Naserabadi et al (2019 Phys. Rev. E 100, 060101(R)), who assessed the equilibrium behaviour of the model. Here, we revisit this system to characterise its time-dependent behaviour in two and three dimensions (oneand two-dimensional interfaces, respectively). While the 3D case seems dominated by a fast evolution beyond critical dynamics, in the 2D case, numerical simulations of an associated time-dependent Ginzburg-Landau equation retrieve the same static (roughness) exponents and the same intrinsic anomalous scaling ansatz as in the equilibrium case throughout the complete time evolution.
However, the dynamic exponent is seen to cross over between two different values, none of which enables identification with previously known universality classes of kinetic roughening. Moreover, simulations for larger system sizes suggest a breakdown of scaling behaviour at the largest scales, suggesting that the previously reported scaling behaviour may be effective and restricted to relatively small systems.},
organization = {We thank J M L´opez for the discussions and suggestions. Part of our numerical simulations were done in Uranus, a supercomputer cluster located at Universidad Carlos III de Madrid and funded jointly by EU-FEDER and the Spanish Government via Grants Nos. UNC313-4×10−2361, ENE2009-12213-C03-03, ENE2012-33219, and ENE2015-68265, and via Grant No. SIMTURB-CM-UC3M from the Convenio Plurianual of Comunidad de Madrid (CAM, Spain).
In addition, this work has been partially supported by Ministerio de Ciencia e Innovación (Spain), by Agencia Estatal de Investigación (AEI, Spain, 10.13039/501100011033), and by European Regional Development Fund (ERDF, A way f making Europe) through Grants Nos. PGC2018-094763-B-I00, PID2022-140217NBI00, and PID2021-123969NB-I00, and by CAM (Spain) under the Multiannual Agreements with UC3M in the line of Excellence of University Professors (EPUC3M14 and EPUC3M23), in the context of the V Plan Regional de Investigación Científica e Innovación Tecnológica (PRICIT). E. R.-F. acknowledges financial support from CAM
through contract No. 2022/018 under the EPUC3M23 line and from Universidad Carlos III de Madrid through the Margarita Salas program. He also acknowledges hospitality at Departamento de Matemáticas (Universidad Carlos III de Madrid) and Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), where this work has been carried out.},
publisher = {IOP Publishing},
publisher = {Journal of Statistical Mechanics: Theory and Experiment, 2025, 1, 013215},
title = {Anomalous dynamic scaling of Ising interfaces},
author = {Rodríguez Fernández, Enrique and Santalla Arribas, Silvia Noemí and Castro Ponce, Mario and Cuerno Rejado, Rodolfo},
}