Wetting dynamics by mixtures of fast and slow self-propelled particles

Mauricio, Rojas-Vega,; Castro, Pablo de; Soto, Rodrigo

doi:10.1103/physreve.107.014608

Cited by 6 publications

(2 citation statements)

References 42 publications

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“…A large number of such growth-like phenomena [ 9 , 10 , 11 , 12 , 13 , 14 , 15 ] can be understood by defining a few physical quantities such as the average height

and the roughness or surface width

where L is the linear sample size. We are interested in physical systems in which the roughness grows with time and then saturates at a maximum value

[ 9 ]:

with

and

, where

is a crossover time.…”

Section: Introductionmentioning

confidence: 99%

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Restoring the Fluctuation–Dissipation Theorem in Kardar–Parisi–Zhang Universality Class through a New Emergent Fractal Dimension

Gomes-Filho,

de Castro,

Liarte

et al. 2024

Entropy

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The Kardar–Parisi–Zhang (KPZ) equation describes a wide range of growth-like phenomena, with applications in physics, chemistry and biology. There are three central questions in the study of KPZ growth: the determination of height probability distributions; the search for ever more precise universal growth exponents; and the apparent absence of a fluctuation–dissipation theorem (FDT) for spatial dimension d>1. Notably, these questions were answered exactly only for 1+1 dimensions. In this work, we propose a new FDT valid for the KPZ problem in d+1 dimensions. This is achieved by rearranging terms and identifying a new correlated noise which we argue to be characterized by a fractal dimension dn. We present relations between the KPZ exponents and two emergent fractal dimensions, namely df, of the rough interface, and dn. Also, we simulate KPZ growth to obtain values for transient versions of the roughness exponent α, the surface fractal dimension df and, through our relations, the noise fractal dimension dn. Our results indicate that KPZ may have at least two fractal dimensions and that, within this proposal, an FDT is restored. Finally, we provide new insights into the old question about the upper critical dimension of the KPZ universality class.

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“…A large number of such growth-like phenomena [ 9 , 10 , 11 , 12 , 13 , 14 , 15 ] can be understood by defining a few physical quantities such as the average height

and the roughness or surface width

where L is the linear sample size. We are interested in physical systems in which the roughness grows with time and then saturates at a maximum value

[ 9 ]:

with

and

, where

is a crossover time.…”

Section: Introductionmentioning

confidence: 99%

“…A large number of such growth-like phenomena [9][10][11][12][13][14][15] can be understood by defining a few physical quantities such as the average height ⟨h⟩ and the roughness or surface width…”

Section: Introductionmentioning

confidence: 99%