# Radius of gyration of uniform H-comb polymers in two and three dimensions

## Related Articles

- Universal properties of linear and ring polymers. Bishop, Marvin; Saltiel, Craig J. // Journal of Chemical Physics;7/15/1988, Vol. 89 Issue 2, p1159
The ratio of the mean-square radius of gyration to mean-square end-to-end distance for linear chains and the mean-square radius of gyration ratio of ring to linear chains are investigated for two- , three- , four- , and five-dimensional polymers, with and without excluded volume, via Brownian...

- The collapse transition for two-dimensional linear and ring polymers. Bishop, Marvin // Journal of Chemical Physics;8/1/1988, Vol. 89 Issue 3, p1719
The collapse transition for two-dimensional linear and ring polymers is investigated by Brownian dynamics. It is found that the mean-square radius of gyration

displays a different power law for strong and weak attractive forces between chain units N. For rings âˆ¼N1.5 (weak forces)... - On modified Brownian motion and polymers in external fields. Sebastian, K.L. // Journal of Chemical Physics;10/22/1997, Vol. 107 Issue 16, p6503
Focuses on modified versions of Brownian motion models for polymer molecules under different conditions. Calculation of the propagator in the presence of a harmonic external field by Washington; Evaluation of path integrals; Differential equation obeyed by the extremum path.

- Brownian dynamics simulation of a polymer molecule in solution under elongational flow. Agarwal, U.S.; Bhargava, Rohit // Journal of Chemical Physics;1/22/1998, Vol. 108 Issue 4, p1610
Examines the Brownian dynamics simulation of a polymer molecule in solution under elongational flow. Introduction of the freely jointed bead-rod chain model molecules; Calculation for stresses in a non-free draining bead-rod chain; Contribution of hydrodynamic interaction to hysteresis in...

- The shape of two-dimensional polymers. Bishop, Marvin; Michels, J. P. J. // Journal of Chemical Physics;11/1/1985, Vol. 83 Issue 9, p4791
The shapes of two-dimensional linear and ring polymers, with and without excluded volume, are investigated by determining the ratios of the two principal orthogonal components of the mean-square radius of gyration. It is found that ring chains are more symmetrical than linear ones.

- The collapse transition in three-dimensional linear and ring polymers. Bishop, Marvin; Michels, J. P. J. // Journal of Chemical Physics;1/1/1986, Vol. 84 Issue 1, p447
The collapse transition for three-dimensional linear and ring polymers is investigated by Brownian dynamics. It is found that the mean-square radius of gyration,

, displays a different power law for strong and weak attractive forces between chain units, N: for rings âˆ¼N1.2 (weak... - Scaling in three-dimensional linear and ring polymers. Bishop, Marvin; Michels, J. P. J. // Journal of Chemical Physics;1/1/1986, Vol. 84 Issue 1, p444
Bead size effects on the excluded volume of linear and ring polymers are investigated by Brownian dynamics. It is found that the mean dimensions of the chains follow a scaling relation with scaling variable X=N (Ïƒ/l)d/[lowercase_phi_synonym], where N is the number of units on the chain, Ïƒ...

- Simulation of polymer chains in elongational flow. Steady-state properties and chain fracture. Cascales, J. J. Lopez; de la Torre, J. Garcia // Journal of Chemical Physics;12/15/1991, Vol. 95 Issue 12, p9384
The behavior of polymer chains in steady, uniaxial elongational flows is studied using the Brownian dynamics simulation technique. Two different types of chain models are considered. One is the bead-and-spring Rouse chain and the other is a chain with breakable connectors that obey a Morse...

- Path integral description of polymers using fractional Brownian walks. Cherayil, Binny J.; Biswas, Parbati // Journal of Chemical Physics;12/1/1993, Vol. 99 Issue 11, p9230
The statistical properties of fractional Brownian walks are used to construct a path integral representation of the conformations of polymers with different degrees of bond correlation. We specifically derive an expression for the distribution function of the chainsâ€™ end-to-end distance,...