### Abstract

One-dimensional interfaces with curvature-driven growth kinetics are investigated. We calculate the steady-state distribution P(w2) of the square of the width of the interface w2 and show that, as in the case for random-walk interfaces, the result can be written in a scaling form w2P(w2)=(w2/w2), where w2 is the average of w2. The scaling function (x) is found to be distinct from that of random-walk interfaces, but, as our Monte Carlo simulations indicate, this function is universal for curvature-driven growth. It is argued that comparison of scaling functions can be a useful method for distinguishing between universality classes of growth processes.

Original language | English |
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Pages (from-to) | 3589-3593 |

Number of pages | 5 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 50 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1994 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*50*(5), 3589-3593. https://doi.org/10.1103/PhysRevE.50.3589

**Width distribution of curvature-driven interfaces : A study of universality.** / Plischke, M.; Rácz, Z.; Zia, R. K P.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 50, no. 5, pp. 3589-3593. https://doi.org/10.1103/PhysRevE.50.3589

}

TY - JOUR

T1 - Width distribution of curvature-driven interfaces

T2 - A study of universality

AU - Plischke, M.

AU - Rácz, Z.

AU - Zia, R. K P

PY - 1994

Y1 - 1994

N2 - One-dimensional interfaces with curvature-driven growth kinetics are investigated. We calculate the steady-state distribution P(w2) of the square of the width of the interface w2 and show that, as in the case for random-walk interfaces, the result can be written in a scaling form w2P(w2)=(w2/w2), where w2 is the average of w2. The scaling function (x) is found to be distinct from that of random-walk interfaces, but, as our Monte Carlo simulations indicate, this function is universal for curvature-driven growth. It is argued that comparison of scaling functions can be a useful method for distinguishing between universality classes of growth processes.

AB - One-dimensional interfaces with curvature-driven growth kinetics are investigated. We calculate the steady-state distribution P(w2) of the square of the width of the interface w2 and show that, as in the case for random-walk interfaces, the result can be written in a scaling form w2P(w2)=(w2/w2), where w2 is the average of w2. The scaling function (x) is found to be distinct from that of random-walk interfaces, but, as our Monte Carlo simulations indicate, this function is universal for curvature-driven growth. It is argued that comparison of scaling functions can be a useful method for distinguishing between universality classes of growth processes.

UR - http://www.scopus.com/inward/record.url?scp=0000371942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000371942&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.50.3589

DO - 10.1103/PhysRevE.50.3589

M3 - Article

VL - 50

SP - 3589

EP - 3593

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5

ER -