期刊
PHYSICAL REVIEW LETTERS
卷 86, 期 17, 页码 3700-3703出版社
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.3700
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We show that the probability, P-0(l). that the height of a fluctuating (d + 1)-dimensional interface in it steady state stays above its initial value up to a distance l, along any linear cut in the d-dimensional space, decays as P-0(l) similar to l(-theta). Here theta is a ''spatial persistence exponent, and takes different values, theta (s) or theta (0), depending on how the point from which l is measured is specified. These exponents are shown to map onto corresponding temporal persistence exponents for a generalized d = 1 random-walk equation. The exponent theta (0) is nontrivial even for Gaussian interfaces.
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