Erratum: Stiff chain model−functional integral approach [J. Chem. Phys. <b>9</b>
                  <b>5</b>, 1266 (1991)]

Lagowski, Jolanta B.; Noolandi, Jaan; Nickel, B. G.

doi:10.1063/1.462901

Cited by 37 publications

(59 citation statements)

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“…[30] Winkler, Reineker and Harnau (WRH) used the maximum-entropy principle (MEP) [36,37] to treat semiflexible chains first in a discrete [38] and then in a continuous framework, [31] removing some of the problems of the HH model. The factual identity of the newer approaches in dealing with semiflexible chains in the continuum was established by Ha and Thirumalai, [39] who showed that the WRH results are consistent with those of Lagowski, Noolandi and Nickel [32,40] and with those of Bawendi and Freed. [30] Moreover, the equations of motion obtained in the continuous WRH model [31] are very close to those of Gotlib and Svetlov.…”

Section: Introductionsupporting

confidence: 69%

“…The latter are mostly based on the Kratky-Porod (KP) wormlike chain [25] concept, where the macromolecule is represented through a smooth, at each point differentiable, curve. [26][27][28][29][30][31][32] Harris and Hearst (HH) pioneered such a study for continuous semiflexible polymer chains, [26,27] that, however, showed flaws in the treatment of the chain's ends. [29,30,32] Using projection operators techniques [33,34] Bixon and Zwanzig provided an important contribution to the dynamics of semiflexible chains in a discrete framework, by introducing the so-called optimized Rouse-Zimm (ORZ) model.…”

Section: Introductionmentioning

confidence: 99%

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Branched Semiflexible Polymers: Theoretical and Simulation Aspects

Dolgushev

Berezovska

Blumen

2011

Macro Theory & Simulations

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Recent approaches for taking stiffness effects into account when modeling multifunctional polymer structures are reported. The theoretical part is focused on arbitrary tree‐like polymers, modeled through extensions of the GGS scheme that allows the inclusion of local constraints. The theoretical findings are compared to the results of numerical simulations in which stiffness is included into the bond fluctuation model with the help of additional bending potentials. The procedure is illustrated by evaluating the static properties of semiflexible linear chains, stars, cospectral polymers and rings. The dynamical properties are exemplified by the mechanical relaxation of semiflexible polymers, including situations in which the local conditions at different sites are the same or different.magnified image

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Section: Introductionsupporting

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Branched Semiflexible Polymers: Theoretical and Simulation Aspects

Dolgushev

Berezovska

Blumen

2011

Macro Theory & Simulations

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“…For example, the persistence length of a DNA macromolecule is typically of order 50-100 nm, whereas the length of a single base pair is 0. 34 …”

Section: A Analogy With the Kac-baker Modelmentioning

confidence: 99%

“…It was less successful, however, in recovering more detailed statistics of the worm-like chain (e.g., distribution function, form factor), particularly in the limit of large stiffness. The Harris-Hearst model was later refined by Lagowski et al [34] and Ha and Thirumalai [35,36], replacing the single global constraint by a set of local constraints for the average segment lengths. This further modification was shown to be equivalent to a stationary-phase approximation for the chain partition function, yielding reliable results for average quantities, as well as more detailed statistics [35].…”

Section: The Modelmentioning

confidence: 99%

Binding of molecules to DNA and other semiflexible polymers

Diamant

Andelman

2000

Phys. Rev. E

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A theory is presented for the binding of small molecules such as surfactants to semiflexible polymers. The persistence length is assumed to be large compared to the monomer size but much smaller than the total chain length. Such polymers (e.g., DNA) represent an intermediate case between flexible polymers and stiff, rod-like ones, whose association with small molecules was previously studied. The chains are not flexible enough to actively participate in the self-assembly, yet their fluctuations induce long-range attractive interactions between bound molecules. In cases where the binding significantly affects the local chain stiffness, those interactions lead to a very sharp, cooperative association. This scenario is of relevance to the association of DNA with surfactants and compact proteins such as RecA. External tension exerted on the chain is found to significantly modify the binding by suppressing the fluctuation-induced interaction.61.25.Hq,87.15.Nn,87.14.Gg

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“…It renders awkward any general theory [11,13,14] which tries to represent this property faithfully. On the other hand, models that relax the constraint too much -as e.g., the so-called Harris-Hearst-Beals model [15] and its latest descendants [16][17][18][19] -include artificial stretching modes and find a Gaussian distribution for all spatial distances along the contour; i.e., the essence of semiflexibility has obviously been lost. The correct radial distribution function of a semiflexible polymer with L ≈ ℓ p is actually very different from a Gaussian distribution [20].…”

Section: Introductionmentioning

confidence: 99%

Dynamic scattering from solutions of semiflexible polymers

Kroy¹,

Frey²

1997

Phys. Rev. E

120

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The dynamic structure factor of semiflexible polymers in solution is derived from the wormlike chain model. Special attention is paid to the rigid constraint of an inextensible contour and to the hydrodynamic interactions. For the cases of dilute and semidilute solutions exact expressions for the initial slope are obtained. When the hydrodynamic interaction is treated on the level of a renormalized friction coefficient, the decay of the structure factor due to the structural relaxation obeys a stretched exponential law in agreement with experiments on actin. We show how the characteristic parameters of the system (the persistence length ℓp, the lateral diameter a of the molecules, and the mesh size ξm of the network) are readily determined by a single scattering experiment with scattering wavelength λ obeying a ≪ λ ≪ ℓp and λ < ξm. We also find an exact explicit expression for the effective (wave-vector-dependent) dynamic exponent z(k) < 3 for semiflexible polymers and thus an enlightening explanation for a longstanding puzzle in polymer physics.

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Erratum: Stiff chain model−functional integral approach [J. Chem. Phys. 9 5, 1266 (1991)]

Cited by 37 publications

References 0 publications

Branched Semiflexible Polymers: Theoretical and Simulation Aspects

Branched Semiflexible Polymers: Theoretical and Simulation Aspects

Binding of molecules to DNA and other semiflexible polymers

Dynamic scattering from solutions of semiflexible polymers

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