Directed Polymers with Constrained Winding Angle

Mar 8, 2005 - G(E; , ) = Go(E; , ) - Gol. Go(E; ,0)60(E;0, ) on + Go(E;0,0). Но. Ho = V2. 2c. Go(E; , ). Go(E; , )= “Ko(V2Ec] - D. Ko(z). Ko(2). +...

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dimensional walks 1 r(τ)l, where the arc length τ plays the role of the time coordinate. The winding angle .... ζ(t) = lnz(t) = lnr(t) + iθ(t),. (8) where ρ = ln r = ln √x2.

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Nov 3, 2015 - London, UK. E-mail: [email protected],[email protected],[email protected] Abstract. We provide numerical support for a long-standing prediction of universal scaling of winding angle .... walks, and ensures the correspo

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Jun 4, 2009 - shortly talk about the bound disorder model in section 8. The diamond .... It applies concentration results for martingales from [37]. ...... The partition function Zn is defined as. Zn := ∑ g∈Γn exp(βHn(g)). (8.2). One can check

Feb 17, 2010 - angle at a single endpoint (relative to the global average direction of the curve — see below for a precise ... as the variance in the winding at the endpoints. More generally, when k strands of the curve come ..... http://www.math.k

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Jun 22, 2013 - a computable quantity, that depends on all the atomic level details of the polymer and all the effects of environment including pressure, temperature and chemical microstructure of the solvent. Unlike R0, the dimensionless scaling expo

of relevance, e.g., for the behaviour of a flux line in the presence of a forest of splayed columnar defects. ... fects, ε(x, t) = ε(x + t), and will compare them to the more standard columnar defects, ε(x, t) = ε(x) [5]. Fig. .... example, Table

Oct 19, 2016 - In terms of the standard replica technique it is demonstrated that in this limit the considered system reveals the one-step replica symmetry breaking structure similar to the one which takes place in the Random ... high temperature lim

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A typical set of optimal configurations for a RDP of length W = 4096 and for 0 ≤ y ≤ 1200. a) global ..... cal ordering of the almost equivalent degenerate states.

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