Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Florian Theil"'
Autor:
Florian Theil, Alessandro Giuliani
Publikováno v:
Journal of the European Mathematical Society. 24:3505-3555
The emergence of long-range order at low temperatures in atomistic systems with continuous symmetry is a fundamental, yet poorly understood phenomenon in Physics. To address this challenge we study a discrete microscopic model for an elastic crystal
Publikováno v:
Oberwolfach Reports. 15:2915-2967
Autor:
Matthew Thorpe, Florian Theil
Publikováno v:
Thorpe, M & Theil, F 2019, ' Asymptotic Analysis of the Ginzburg-Landau Functional on Point Clouds ', Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 149, no. 2, pp. 387-427 . https://doi.org/10.1017/prm.2018.32
The Ginzburg–Landau functional is a phase transition model which is suitable for classification type problems. We study the asymptotics of a sequence of Ginzburg–Landau functionals with anisotropic interaction potentials on point clouds Ψnwheren
We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature $1/\beta\in(0,\infty)$. The ground state is a periodic lattice. We show that when the density is s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a9663e8862664628952ff3098171e5d
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/87985
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/87985
We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard–Jones type. The pressure (stress) is assumed to be small but positive and bounded away from zero, while the temperatur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::030c3a33cbd32aa4ff0bf34525e154af
Autor:
Karsten Matthies, Florian Theil
Publikováno v:
Matthies, K & Theil, F 2019, ' Rescaled Objective Solutions of Fokker-Planck and Boltzmann equations ', SIAM Journal on Mathematical Analysis (SIMA), vol. 51, no. 2, pp. 1321–1348 . https://doi.org/10.1137/18M1202335
We study the long-time behavior of symmetric solutions of the nonlinear Boltzmann equation and a closely related nonlinear Fokker-Planck equation. If the symmetry of the solutions corresponds to shear flows, the existence of stationary solutions can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d86fe8b9603a3298f08a46948e2f3610
http://arxiv.org/abs/1805.10337
http://arxiv.org/abs/1805.10337
Publikováno v:
Matthies, K, Stone, G R & Theil, F 2018, ' The derivation of the linear Boltzmann equation from a Rayleigh gas particle model ', Kinetic and Related Models, vol. 11, no. 1, 14450, pp. 137-177 . https://doi.org/10.3934/krm.2018008
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions with back
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5322bd5255782739ea4976f085127a01
http://wrap.warwick.ac.uk/98696/7/WRAP-derviation-linear-equation-Rayleigh-gas-particle-model-Theil-2018.pdf
http://wrap.warwick.ac.uk/98696/7/WRAP-derviation-linear-equation-Rayleigh-gas-particle-model-Theil-2018.pdf
Autor:
Ben Schweizer, Florian Theil
We investigate the long time behavior of waves in crystals. Starting from a linear wave equation on a discrete lattice with periodicity $\varepsilon>0$, we derive the continuum limit equation for time scales of order $\varepsilon^{-2}$. The effective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4d0effdc90bf9aad1dee58f651e463a
http://hdl.handle.net/2003/36361
http://hdl.handle.net/2003/36361
Publikováno v:
Oberwolfach Reports. 12:1989-2064
Publikováno v:
Journal of Computational and Applied Mathematics. 254:220-225
The maximum number of non-overlapping unit spheres in R3 that can simultaneously touch another unit sphere is given by the kissing number, k(3)=12. Here, we present a proof that the maximum number of tangencies in any kissing configuration is 24 and