Langevin molecular dynamics of interfaces: Nucleation versus spiral growth

F. Falo, A. R. Bishop, P. S. Lomdahl, B. Horovitz

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


A simulation of surface growth is reported that directly introduces dynamics and thermal noise within a classical Langevin molecular-dynamics scheme. Using recent advances in massively parallel computation, extensive simulations on large two-dimensional lattices are possible. Surface growth is modeled by a dynamic solid-on-solid model, analogous to a discrete two-dimensional sine-Gordon equation. The influence of both homogeneous (thermal) nucleation and Frank-Read sources of spiral growth patterns are incorporated and compared. A phase diagram is described in the space of temperature and chemical potential difference between surface and vapor. At sufficiently high temperatures, a surface-roughening transition occurs. Finally, the same model is applied to other two-dimensional contexts: charge-density-wave materials in an electric field, and a two-dimensional Josephson junction in a perpendicular current.

Original languageEnglish
Pages (from-to)8081-8088
Number of pages8
JournalPhysical Review B
Issue number10
StatePublished - 1 Jan 1991

ASJC Scopus subject areas

  • Condensed Matter Physics


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