Abstract:
An exact dynamical solution describing the probability density for the
trajectories of the Rouse phantom chain (a polymer chain without
excluded volume effects) is obtained. The probability density is an analog of the Wiener measure but possesses different scaling properties.
Citation:
S. F. Burlatskii, G. S. Oshanin, “Probability distribution for trajectories of a polymer chain segment”, TMF, 75:3 (1988), 473–478; Theoret. and Math. Phys., 75:3 (1988), 659–663
\Bibitem{BurOsh88}
\by S.~F.~Burlatskii, G.~S.~Oshanin
\paper Probability distribution for trajectories of a~polymer chain segment
\jour TMF
\yr 1988
\vol 75
\issue 3
\pages 473--478
\mathnet{http://mi.mathnet.ru/tmf4959}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959729}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 3
\pages 659--663
\crossref{https://doi.org/10.1007/BF01036268}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U173000015}
Linking options:
https://www.mathnet.ru/eng/tmf4959
https://www.mathnet.ru/eng/tmf/v75/i3/p473
This publication is cited in the following 9 articles:
Takuya Saito, “Langevin analogy between particle trajectories and polymer configurations”, Phys. Rev. E, 107:3 (2023)
Baruch Meerson, Olivier Bénichou, Gleb Oshanin, “Path integrals for fractional Brownian motion and fractional Gaussian noise”, Phys. Rev. E, 106:6 (2022)
K. Polovnikov, S. Nechaev, M. V. Tamm, “Effective Hamiltonian of topologically stabilized polymer states”, Soft Matter, 14:31 (2018), 6561
Artem Ryabov, Springer Theses, Stochastic Dynamics and Energetics of Biomolecular Systems, 2016, 7
Iddo I. Eliazar, Michael F. Shlesinger, “Fractional motions”, Physics Reports, 527:2 (2013), 101
Zhou, Y, “Conformational statistics of semiflexible macromolecular chains with internal joints”, Macromolecules, 39:5 (2006), 1950
Yu Zhou, Gregory S. Chirikjian, “Conformational statistics of bent semiflexible polymers”, The Journal of Chemical Physics, 119:9 (2003), 4962
Gleb Oshanin, Alexander Blumen, “Dynamics and conformational properties of Rouse polymers in random layered flows”, Macro Theory & Simulations, 4:1 (1995), 87
G. Oshanin, A. Blumen, “Rouse chain dynamics in layered random flows”, Phys. Rev. E, 49:5 (1994), 4185