Statistical mechanics of the N-point vortex system with random intensities on ℝ2
| dc.contributor.author | Neri, Cassio | |
| dc.date.accessioned | 2021-06-01T15:21:42Z | |
| dc.date.available | 2021-06-01T15:21:42Z | |
| dc.date.issued | 2005-08-24 | |
| dc.description.abstract | The system of N-point vortices on ℝ2 is considered under the hypothesis that vortex intensities are independent and identically distributed random variables with respect to a law P supported on (0, 1]. It is shown that, in the limit as N approaches ∞, the 1-vortex distribution is a minimizer of the free energy functional and is associated to (some) solutions of the following non-linear Poisson Equation: -∆u(x) = C-1 ∫(0, 1] re-βru(x)-γr|x|2 P(dr), ∀x ∈ ℝ2, where C = ∫(0, 1] ∫ℝ2 e-βru(y) -γr|y|2 dyP(dr). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Neri, C. (2005). Statistical mechanics of the N-point vortex system with random intensities on ℝ2. <i>Electronic Journal of Differential Equations, 2005</i>(92), pp. 1-26. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13693 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Statistical mechanics | |
| dc.subject | N-point vortex system | |
| dc.subject | Onsager theory | |
| dc.subject | Mean field equation | |
| dc.title | Statistical mechanics of the N-point vortex system with random intensities on ℝ2 | en_US |
| dc.type | Article |