Directed-polymer and ballistic-deposition growth with correlated noise

Chung Kang Peng; Shlomo Havlin; Moshe Schwartz; H. Eugene Stanley

doi:10.1103/physreva.44.r2239

Directed-polymer and ballistic-deposition growth with correlated noise

Chung Kang Peng
, Shlomo Havlin
, Moshe Schwartz
, H. Eugene Stanley

Research output: Contribution to journal › Article › peer-review

111 Scopus citations

Abstract

We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.

Original language	English
Pages (from-to)	R2239-R2242
Journal	Physical Review A
Volume	44
Issue number	4
DOIs	https://doi.org/10.1103/physreva.44.r2239
State	Published - 1991
Externally published	Yes

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title = "Directed-polymer and ballistic-deposition growth with correlated noise",

abstract = "We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.",

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year = "1991",

doi = "10.1103/physreva.44.r2239",

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AU - Peng, Chung Kang

AU - Havlin, Shlomo

AU - Schwartz, Moshe

AU - Stanley, H. Eugene

PY - 1991

Y1 - 1991

N2 - We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.

AB - We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.

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Directed-polymer and ballistic-deposition growth with correlated noise

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