Statistical self-similarity of one-dimensional growth processes
نویسندگان
چکیده
منابع مشابه
Statistical Self-Similarity of One-Dimensional Growth Processes
For one-dimensional growth processes we consider the distribution of the height above a given point of the substrate and study its scale invariance in the limit of large times. We argue that for self-similar growth from a single seed the universal distribution is the Tracy-Widom distribution from the theory of random matrices and that for growth from a flat substrate it is some other, only nume...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2000
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(99)00517-8