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Related papers: End-to-end distribution function for dilute polyme…

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The distribution function of the end-to-end distance of a semiflexible polymer, G(R;L) (where R denotes the end-to-end distance and L the contour length), is calculated using a meanfield-like approach. The theory yields an extremely simple…

Statistical Mechanics · Physics 2016-08-31 J. K. Bhattacharjee , D. Thirumalai , J. D. Bryngelson

We calculate the distribution function of the end--to--end distance of a semiflexible polymer with large bending rigidity. This quantity is directly observable in experiments on single semiflexible polymers (e.g., DNA, actin) and relevant…

Condensed Matter · Physics 2009-10-28 Jan Wilhelm , Erwin Frey

We set up recursion relations for calculating all even moments of the end-to-end distance of a Porod-Kratky wormlike chains in $D$ dimensions. From these moments we derive a simple analytic expression for the end-to-end distribution in…

Condensed Matter · Physics 2009-11-10 B. Hamprecht , H. Kleinert

We set up and solve a recursion relation for all even moments of a two-dimensional stiff polymer (Porod-Kratky wormlike chain) and determine from these moments a simple analytic expression for the end-to-end distribution at all persistence…

Soft Condensed Matter · Physics 2007-05-23 B. Hamprecht , W. Janke , H. Kleinert

A diffusion-like theory for real time end-to-end distance of a long polymer chain in dilute solution is formulated. We give a detailed analytical expression for the end-to-end distance auto-correlation function of a long chain polymer in…

Soft Condensed Matter · Physics 2018-02-28 Moumita Ganguly , Aniruddha Chakraborty

The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated…

Statistical Mechanics · Physics 2015-06-11 Victor Dotsenko

Polarized parton distribution functions are determined by using asymmetry A_1 data from longitudinally polarized deep inelastic scattering experiments. From our \chi^2 analysis, polarized u-valence, d-valence, antiquark, and gluon…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Hirai

We consider ring polymers in good solvents in the dilute limit. We determine the structure factor and the monomer-monomer distribution function. We compute accurately the asymptotic behavior of these functions for small and large momenta…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We calculate the mean end-to-end distance ($R$) of a self-avoiding polymer encapsulated in an infinitely long cylinder with radius $D$. A self-consistent perturbation theory is used to calculate $R$ as a function of $D$ for impenetrable…

Soft Condensed Matter · Physics 2016-08-31 G. Morrison , D. Thirumalai

We investigate $(2+1)$-dimensional discretized directed polymers in Gaussian random media. By numerically calculating the probability distribution function of overlap between two independent and identical systems on a common random…

Disordered Systems and Neural Networks · Physics 2019-05-20 Masahiko Ueda

We study properties of dilute polymer solutions which are known to depend strongly on polymer elongation. The probability density function (PDF) of polymer end-to-end extensions $R$ in turbulent flows is examined. We demonstrate that if the…

chao-dyn · Physics 2009-10-31 E. Balkovsky , A. Fouxon , V. Lebedev

An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

Soft Condensed Matter · Physics 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

We investigate the length distribution of self-assembled, long and stiff polymers at thermal equilibrium. Our analysis is based on calculating the partition functions of stiff polymers of variable lengths in the elastic regime. Our…

Soft Condensed Matter · Physics 2012-09-06 Chiu Fan Lee

We extend previous work on applying the epsilon-expansion to universal properties of a cold, dilute Fermi gas in the unitary regime of infinite scattering length. We compute the ratio xi = mu/epsilon_F of chemical potential to ideal gas…

Other Condensed Matter · Physics 2009-02-05 Peter Arnold , Joaquin E. Drut , Dam Thanh Son

We investigate the upper tail distribution of the partition function of the directed polymer in a random environment on $\mathbb Z^d$ in the weak disorder phase. We show that the distribution of the infinite volume partition function…

Probability · Mathematics 2025-01-09 Stefan Junk , Hubert Lacoin

In a recent paper the mean square displacement (MSD), <R^2(T)>, of a particle carried by a turbulent liquid over time T has been shown to be proportional to T^6/5, meaning that the motion of the particle is slightly super-diffusive. In some…

Statistical Mechanics · Physics 2008-08-21 S. F. Edwards , Moshe Schwartz

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

For a self-repelling polymer chain consisting of n segments we calculate the persistence length L(j,n), defined as the projection of the end-to-end vector on the direction of the j`th segment. This quantity shows some pronounced variation…

Soft Condensed Matter · Physics 2009-11-10 Lothar Schäfer , Knut Elsner

We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

Soft Condensed Matter · Physics 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke
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