Phase transition in restricted solid-on-solid models with finite-distance hoppings

Yup Kim; S. H. Yook

doi:10.1088/0305-4470/30/14/002

Phase transition in restricted solid-on-solid models with finite-distance hoppings

Yup Kim, S. H. Yook

Research output: Contribution to journal › Review article › peer-review

4 Citations (Scopus)

Abstract

Restricted solid-on-solid (RSOS) models with finite-distance hoppings are studied. A randomly dropped particle is allowed to hop to find the nearest site satisfying the RSOS condition within a finite hopping distance l_c. If the particle can find such a site within the distance l_c, then the growth is permitted at that site. If the particle cannot find the site within the distance l_c, the particle is abandoned and the new particle is dropped. It is found that in the substrate dimensions d_s = 1 and 2 the universality of such models crosses over from the Kadar-Parisi-Zhang (KPZ) class (l_c = 0) to the conserved-KPZ class (l_c = ∞) at finite l_c. The tilt-dependent growth velocity and the surface current are also studied to understand the crossover physically.

Original language	English
Pages (from-to)	L449-L455
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/30/14/002
Publication status	Published - 21 Jul 1997

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title = "Phase transition in restricted solid-on-solid models with finite-distance hoppings",

abstract = "Restricted solid-on-solid (RSOS) models with finite-distance hoppings are studied. A randomly dropped particle is allowed to hop to find the nearest site satisfying the RSOS condition within a finite hopping distance lc. If the particle can find such a site within the distance lc, then the growth is permitted at that site. If the particle cannot find the site within the distance lc, the particle is abandoned and the new particle is dropped. It is found that in the substrate dimensions ds = 1 and 2 the universality of such models crosses over from the Kadar-Parisi-Zhang (KPZ) class (lc = 0) to the conserved-KPZ class (lc = ∞) at finite lc. The tilt-dependent growth velocity and the surface current are also studied to understand the crossover physically.",

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T1 - Phase transition in restricted solid-on-solid models with finite-distance hoppings

AU - Kim, Yup

AU - Yook, S. H.

PY - 1997/7/21

Y1 - 1997/7/21

N2 - Restricted solid-on-solid (RSOS) models with finite-distance hoppings are studied. A randomly dropped particle is allowed to hop to find the nearest site satisfying the RSOS condition within a finite hopping distance lc. If the particle can find such a site within the distance lc, then the growth is permitted at that site. If the particle cannot find the site within the distance lc, the particle is abandoned and the new particle is dropped. It is found that in the substrate dimensions ds = 1 and 2 the universality of such models crosses over from the Kadar-Parisi-Zhang (KPZ) class (lc = 0) to the conserved-KPZ class (lc = ∞) at finite lc. The tilt-dependent growth velocity and the surface current are also studied to understand the crossover physically.

AB - Restricted solid-on-solid (RSOS) models with finite-distance hoppings are studied. A randomly dropped particle is allowed to hop to find the nearest site satisfying the RSOS condition within a finite hopping distance lc. If the particle can find such a site within the distance lc, then the growth is permitted at that site. If the particle cannot find the site within the distance lc, the particle is abandoned and the new particle is dropped. It is found that in the substrate dimensions ds = 1 and 2 the universality of such models crosses over from the Kadar-Parisi-Zhang (KPZ) class (lc = 0) to the conserved-KPZ class (lc = ∞) at finite lc. The tilt-dependent growth velocity and the surface current are also studied to understand the crossover physically.

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DO - 10.1088/0305-4470/30/14/002

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SP - L449-L455

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 14

ER -

Phase transition in restricted solid-on-solid models with finite-distance hoppings

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