Drift Causes Anomalous Exponents in Growth Processes

2004/04/30 by Gunnar Pruessner
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.92.246101

published as Phys. Rev. Lett. 92, 246101 (2004) · 4 pages, 1 figure, REVTeX; accepted for publication in PRL; added note and references

arxiv created 2004/05/05 · openalex publication_date 2004/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The effect of a drift term in the presence of fixed boundaries is studied for the one-dimensional Edwards-Wilkinson equation, to reveal a general mechanism that causes a change of exponents for a very broad class of growth processes. This mechanism represents a relevant perturbation and therefore is important for the interpretation of experimental and numerical results. In effect, the mechanism leads to the roughness exponent assuming the same value as the growth exponent. In the case of the Edwards-Wilkinson equation this implies exponents deviating from those expected by dimensional analysis.

Citations

• Formulas and Theorems for the Special Functions of Mathematical Physics
• The surface statistics of a granular aggregate

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