| Автор | Malyshev, C |
| Дата выпуска | 2011-07-15 |
| dc.description | A field theory is developed for a thermodynamical description of an array of parallel non-singular screw dislocations in an elastic cylinder. The partition function of the system is considered in the functional integral form. Self-energy of the dislocation cores is chosen in the form suggested by the gauge-translational model of non-singular screw dislocation. It is shown that the system of dislocations is equivalent to the two-dimensional Coulomb gas. The coupling potential is prevented from a short-distance divergency since the core energies are taken into account. Two-point correlation functions of the stress components are obtained. Renormalization of the shear modulus caused by the presence of dislocations is studied in the approximation of non-interacting dislocation dipoles. It is demonstrated that the finite size of the dislocation cores results in a modification of the renormalization law. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2011 IOP Publishing Ltd |
| Название | Non-singular screw dislocations as the Coulomb gas with smoothed-out coupling and the renormalization of the shear modulusPresented at the International Workshop ‘Classical and Quantum Integrable Systems (CQIS-2011)’ (24–27 January 2011, Protvino, Russian Federation). |
| Тип | paper |
| DOI | 10.1088/1751-8113/44/28/285003 |
| Electronic ISSN | 1751-8121 |
| Print ISSN | 1751-8113 |
| Журнал | Journal of Physics A: Mathematical and Theoretical |
| Том | 44 |
| Первая страница | 285003 |
| Последняя страница | 285019 |
| Аффилиация | Malyshev, C; Steklov Institute of Mathematics (St Petersburg Department) Fontanka 27, St Petersburg, 191023, Russia |
| Выпуск | 28 |
