Asymptotic behavior of Brownian polymers
نویسنده
چکیده
We consider a system that models the shape of a growing polymer. Our basic problem concerns the asymptotic behavior of Xt, the location of the end of the polymer at time t. We obtain bounds on Xt in the (physically uninteresting) case that d = 1 and the interaction function f (x ) > O. If, in addition, f (x ) behaves for large x like Cx -p with fi < 1 we obtain a strong law that gives the exact growth rate.
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تاریخ انتشار 2005