منابع مشابه
Numerical study of self - avoiding loops on & dimensional hypercubic lattices
The loop gas in d = 2, 3 , 4 and 5 dimensions and with multiplicities m = 0, 1, 1.5, 2, 3 and 4 is investigated by the Monte Carlo method. The critical temperatures and approximate values for the critical exponent v corresponding to second-order phase transitions are obtained for d = 2 and 3. The statistical behaviour of self-avoiding loops, i.e. non-intersecting closed lines in thermal equilib...
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A random loop, or polygon, is a simple random walk whose trajectory is a simple closed Jordan curve. The study of random loops is extended in two ways. First, the probability P, (x , y ) that a random n-step loop contains a point (x, y ) in the interior of the loop is studied, and p,?(1/2,1/2) is shown to be (1/2)-(1/n). It is plausible that P,(x , y ) /1 1/2 for all ( x , y ) , but we do not k...
متن کاملThe Conformally Invariant Measure on Self-avoiding Loops
The aim of the present paper is to construct and describe a natural measure on the set of self-avoiding loops in the plane and on any Riemann surface. By a self-avoiding loop on a surface S, we mean a continuous injective map from the unit circle into S modulo monotone reparametrizations (i.e. we look only at the trace of the loop and forget about its parametrization). We will construct a measu...
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The mean area of two-dimensional unpressurised vesicles, or self-avoiding loops of fixed length N , behaves for large N as A0N 3/2, while their mean square radius of gyration behaves as R2 0N 3/2. The amplitude ratio A0/R 2 0 is computed exactly and found to equal 4π/5. The physics of the pressurised case, both in the inflated and collapsed phases, may be usefully related to that of a complex O...
متن کاملAvoiding Transient Loops Through Interface-Specific Forwarding
Under link-state routing protocols such as OSPF and IS-IS, when there is a change in the topology, propagation of link-state announcements, path recomputation, and updating of forwarding tables (FIBs) will all incur some delay before traffic forwarding can resume on alternate paths. During this convergence period, routers may have inconsistent views of the network, resulting in transient forwar...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1994
ISSN: 0031-9007
DOI: 10.1103/physrevlett.72.1580