Universality class of interface growth with reflection symmetry

P. Devillard; H. Spohn

doi:10.1007/BF01055718

Universality class of interface growth with reflection symmetry

P. Devillard, H. Spohn

University of Munich

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

24 Scopus citations

Abstract

We investigate interface dynamics in 1+1 dimensions, respecting reflection symmetry. In the continuum approach of Kardar, Parisi, and Zhang, the leading nonlinearity is then of the form (∇h_t)³. On the basis of Monte Carlo simulations for a driven lattice gas, we argue that the nonlinearity is marginally irrelevant. Thus, the universality class is the one of equilibrium interfaces with a purely relaxational bulk dynamics.

Original language	English
Pages (from-to)	1089-1099
Number of pages	11
Journal	Journal of Statistical Physics
Volume	66
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01055718
State	Published - Feb 1992
Externally published	Yes

Keywords

Interface growth
driven lattice gas
fluctuation phenomena
random processes

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10.1007/BF01055718

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abstract = "We investigate interface dynamics in 1+1 dimensions, respecting reflection symmetry. In the continuum approach of Kardar, Parisi, and Zhang, the leading nonlinearity is then of the form (∇ht)3. On the basis of Monte Carlo simulations for a driven lattice gas, we argue that the nonlinearity is marginally irrelevant. Thus, the universality class is the one of equilibrium interfaces with a purely relaxational bulk dynamics.",

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N2 - We investigate interface dynamics in 1+1 dimensions, respecting reflection symmetry. In the continuum approach of Kardar, Parisi, and Zhang, the leading nonlinearity is then of the form (∇ht)3. On the basis of Monte Carlo simulations for a driven lattice gas, we argue that the nonlinearity is marginally irrelevant. Thus, the universality class is the one of equilibrium interfaces with a purely relaxational bulk dynamics.

AB - We investigate interface dynamics in 1+1 dimensions, respecting reflection symmetry. In the continuum approach of Kardar, Parisi, and Zhang, the leading nonlinearity is then of the form (∇ht)3. On the basis of Monte Carlo simulations for a driven lattice gas, we argue that the nonlinearity is marginally irrelevant. Thus, the universality class is the one of equilibrium interfaces with a purely relaxational bulk dynamics.

KW - Interface growth

KW - driven lattice gas

KW - fluctuation phenomena

KW - random processes

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JF - Journal of Statistical Physics

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ER -

Universality class of interface growth with reflection symmetry

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Keywords

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