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). +...

0 downloads 2 Views 467KB Size

Recommend Documents

Oct 1, 1996 - the polymer is a hard-core repulsion or is neutral, and whether the winding center shows a chiral asymmetry. However, the winding angle ...

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

of [1] becomes applicable to directed polymer melts upon adding a source term, in analogy with the des Cloiseaux trick [1] for isotropic polymer solutions. The spontaneously broken symmetry of polymer nematics requires, in addition, coupling the boso

large length scale only goes by the name of scaling theory. Emergence of any new or extra length scale would ... in several different ways, a luxury not affordable in most situations. Two types of randomness can arise in the ...... however moves to t

Nov 5, 2014 - state that shed light on this unusual transition and on the accuracy of the Flory argument. We underline the theoretical challenge ... The so-called “Directed Polymer” (DP) problem has attracted an enormous amount of .... in particu

[16] The RG analysis of a pure system ... [17,12,18] These systems of DPs with pure short range in- ..... The “same z” requirement of the δ function of H2.

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

Nov 28, 2017 - 1 School of Mathematical Sciences, Queen Mary University of ... 2 School of Mathematics and Statistics, The University of Melbourne, Victoria ...

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

for the free energy as a function of the order parameter (let us call it Qa,b and .... The relevant part of the correlation is the long-distance behavior, which we ...

found that these two-line configurations are (for almost all disorder configura- tions) distinct implying that the true two-line ground-state is non-separable, even with 'worst-possible' initial conditions. The effective interaction energy between th

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

Jul 31, 1997 - Princetonplein 5, 3508 TA Utrecht, The Netherlands ... central charges induced by wrapping the membrane around compact dimensions.

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

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

Jun 16, 2016 - FIG. 1: Collapse of energy fluctuations of DPRM with a spa- tially correlated landscape. The data corresponds to system size L = 106, evolved ...

Dec 9, 2010 - which to study the influence of spatial correlation in the environment. ... we investigate the influence of slowly vanishing spatial correlation for.

Oct 24, 2006 - free energy of these models to the free energy of the corresponding ones in which the force is switched off. We then ... Our purpose is to point out that one can directly relate the free energy in presence of a force to the free energy

Jan 25, 2013 - single-monomer case. II. SETUP AND RESULTS. Our system consists of a two-dimensional box of dimensions x × y = L × L with an array of funnel-shaped barriers placed along the x = L/2 line separating the box into chambers 1 and 2. The

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.

Feb 22, 2010 - sequence alignment in bioinformatics [5]. Many physical systems ..... the system still has macroscopic translational invariance in the xy plane.

Jan 21, 2015 - Kardar [24] examined this problem numerically and found that uc > 0 ...... influence percolation, Dynamics and stochastics, IMS Lecture Notes ...

havior of pure systems in many situations. For instance, for Ising spin systems in dimension d ≤ 2 and for systems with continuous symmetry and d ≤ 4 it was ...

Aug 11, 2017 - walks, such as Lévy flights, when placed in an inhomogeneous random environment. Indeed ...... Springer Science & Business Media, 2012.