The confinement of an annealed branched polymer by a potential well
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 branc...
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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/129359 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-129359 |
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dspace |
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irk-123456789-1293592018-01-20T03:03:47Z The confinement of an annealed branched polymer by a potential well Grosberg, A.Y. Kelly, Joshua Bruinsma, Robijn К 100-летию со дня рождения И.М. Лифшица 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. 2017 Article 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 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
К 100-летию со дня рождения И.М. Лифшица К 100-летию со дня рождения И.М. Лифшица |
| spellingShingle |
К 100-летию со дня рождения И.М. Лифшица К 100-летию со дня рождения И.М. Лифшица Grosberg, A.Y. Kelly, Joshua Bruinsma, Robijn The confinement of an annealed branched polymer by a potential well Физика низких температур |
| 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. |
| format |
Article |
| author |
Grosberg, A.Y. Kelly, Joshua Bruinsma, Robijn |
| author_facet |
Grosberg, A.Y. Kelly, Joshua Bruinsma, Robijn |
| author_sort |
Grosberg, A.Y. |
| title |
The confinement of an annealed branched polymer by a potential well |
| title_short |
The confinement of an annealed branched polymer by a potential well |
| title_full |
The confinement of an annealed branched polymer by a potential well |
| title_fullStr |
The confinement of an annealed branched polymer by a potential well |
| title_full_unstemmed |
The confinement of an annealed branched polymer by a potential well |
| title_sort |
confinement of an annealed branched polymer by a potential well |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2017 |
| topic_facet |
К 100-летию со дня рождения И.М. Лифшица |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/129359 |
| citation_txt |
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. |
| series |
Физика низких температур |
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2023-10-18T20:57:33Z |
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