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Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process

Héctor Vaquero del Pino1,* and Rodolfo Cuerno2,†

  • 1Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
  • 2Universidad Carlos III de Madrid, Departamento de Matemáticas and Grupo Interdisciplinar de Sistemas Complejos (GISC), Avenida de la Universidad 30, 28911 Leganés (Madrid), Spain

  • *Contact author: hector001@e.ntu.edu.sg
  • †Contact author: cuerno@math.uc3m.es

On the upper critical dimension of the KPZ universality class: KPZ and related equations on a fully connected graph

Jesús María Marcos Merino, Juan José Meléndez, Rodolfo Cuerno, and Juan J. Ruiz-Lorenzo

SciPost Phys. 21 087 (2026)

Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two-dimensional interfaces

A. Tajuelo-Valbuena, J. Trujillo-Mulero, J. J. Meléndez, R. Cuerno, and J. J. Ruiz-Lorenzo

Phys. Rev. E 113 044120 (2026)

Discrete lattice models for interface growth on a complete graph

J M Marcos, J J Meléndez, R Cuerno, and J J Ruiz-Lorenzo

J. Stat. Mech. 2026 093206 (2026)

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