Fragility of Kardar-Parisi-Zhang universality class in the presence of temporally correlated noise

We study numerically a family of surface growth models that are known to be in the universality class of the Kardar-Parisi-Zhang equation when driven by uncorrelated noise. We find that, in the presence of noise with power-law temporal correlations with exponent , these models exhibit critical expon...

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Detalles Bibliográficos
Autores: Rodríguez-Fernández, Enrique, Alés, Alejandro, Martín-Álvarez, Jorge, López, Juan M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/374142
Acceso en línea:http://hdl.handle.net/10261/374142
Access Level:acceso abierto
Descripción
Sumario:We study numerically a family of surface growth models that are known to be in the universality class of the Kardar-Parisi-Zhang equation when driven by uncorrelated noise. We find that, in the presence of noise with power-law temporal correlations with exponent , these models exhibit critical exponents that differ both quantitatively and qualitatively from model to model. The existence of a threshold value for below which the uncorrelated fixed point is dominant occurs for some models but not for others. In some models the dynamic exponent ⁡() is a smooth decreasing function, while it has a maximum in other cases. Despite all models sharing the same symmetries, critical exponents turn out to be strongly model dependent. Our results clearly show the fragility of the universality class concept in the presence of long-range temporally correlated noise.