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• W1996322428 abstract "We present an analysis of mapped surfaces obtained from configurations of two classical statistical-mechanical spin models in the square lattice: the q -state Potts model and the spin-1 Blume-Capel model. We carry out a study of the phase transitions in these models using the Monte Carlo method and a mapping of the spin configurations to a solid-on-solid growth model. The first- and second-order phase transitions and the tricritical point happen to be relevant in the kinetic roughening of the surface growth process. At the low and high temperature phases the roughness W grows indefinitely with the time, with growth exponent beta(w) approximately 0.50(W approximately tbeta(w)) . At criticality the growth presents a crossover at a characteristic time tc, from a correlated regime (with beta(w) ++ 0.50 ) to an uncorrelated one (beta(w) approximately equal 0.50) . We also calculate the Hurst exponent H of the corresponding surfaces. At criticality, beta(w) and H have values characteristic of correlated growth, distinguishing second- from first-order phase transitions. It has also been shown that the Family-Vicsek relation for the growth exponents also holds for the noise-reduced roughness with an anomalous scaling." @default.
• W1996322428 created "2016-06-24" @default.
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• W1996322428 date "2007-04-09" @default.
• W1996322428 modified "2023-09-25" @default.
• W1996322428 title "Dynamics of rough surfaces generated by two-dimensional lattice spin models" @default.
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• W1996322428 doi "https://doi.org/10.1103/physreve.75.046106" @default.
• W1996322428 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17500960" @default.
• W1996322428 hasPublicationYear "2007" @default.
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