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Dimensional fragility of the Kardar-Parisi-Zhang universality class

M. Nicoli, R. Cuerno, M. Castro

Journal of Statistical Mechanics: Theory and Experiment Vol. 2013, nº. 11, pp. P11001.1 - P11001.11

Resumen:

We assess the dependence on substrate dimensionality of the asymptotic scaling behavior of a whole family of equations that feature the basic symmetries of the Kardar-Parisi-Zhang (KPZ) equation. Even for cases in which, as expected from universality arguments, these models display KPZ values for the critical exponents and limit distributions, their behavior deviates from KPZ scaling for increasing system dimensions. Such a fragility of KPZ universality contradicts naive expectations, and questions straightforward application of universality principles for the continuum description of experimental systems.


Palabras Clave: kinetic growth processes (theory), self-affine roughness (theory), kinetic roughening (theory)


Índice de impacto JCR y cuartil WoS: 2,056 - Q1 (2013); 2,400 - Q1 (2022)

Referencia DOI: DOI icon https://doi.org/10.1088/1742-5468/2013/11/P11001

Publicado en papel: Noviembre 2013.

Publicado on-line: Noviembre 2013.



Cita:
M. Nicoli, R. Cuerno, M. Castro Dimensional fragility of the Kardar-Parisi-Zhang universality class. Journal of Statistical Mechanics: Theory and Experiment. Vol. 2013, nº. 11, pp. P11001.1 - P11001.11, Noviembre 2013. [Online: Noviembre 2013]


    Líneas de investigación:
  • *Sistemas Mecánicos: Mecánica Estructural, Elementos de Máquinas, Prototipado Rápido, Metrología Dimensional

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