The confinement of an annealed branched polymer by a potential well
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The confinement of an annealed branched polymer by a potential well
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| Creator |
Grosberg, A.Y.
Kelly, Joshua Bruinsma, Robijn |
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| Subject |
К 100-летию со дня рождения И.М. Лифшица
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| Description |
The Lifshitz equation for the confinement of a linear polymer in a spherical cavity of radius R has the form of the Schrödinger equation for a quantum particle trapped in a potential well with flat bottom and infinite walls at radius R. We show that the Lifshitz equation of a confined annealed branched polymer has the form of the Schrödinger equation for a quantum harmonic oscillator. The harmonic oscillator potential results from the repulsion of the many branches from the potential walls. Mathematically, it must be obtained from the solution of the equation of motion of a second, now classical, particle in a non-linear potential that depends self-consistently on the eigenvalue of the quantum oscillator. The resulting confinement energy has a 1/R⁴ dependence on the confinement radius R, in agreement with scaling arguments. We discuss the application of this result to the problem of the confinement of single-stranded RNA molecules inside spherical capsids.
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| Date |
2018-01-19T14:04:46Z
2018-01-19T14:04:46Z 2017 |
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| Type |
Article
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| Identifier |
The confinement of an annealed branched polymer by a potential well / Alexander Y. Grosberg, Joshua Kelly, Robijn Bruinsma // Физика низких температур. — 2017. — Т. 43, № 1. — С. 122-131. — Бібліогр.: 20 назв. — англ.
0132-6414 PACS: 36.20.–r, 87.15.H– http://dspace.nbuv.gov.ua/handle/123456789/129359 |
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| Language |
en
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| Relation |
Физика низких температур
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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