Výsledky vyhledávání - "Robbins, Jonathan"

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Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals

Autor: Di Fratta, Giovanni, Robbins, Jonathan, Slastikov, Valeriy, Zarnescu, Arghir

We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small elastic constant. At leading order in the elasticity constant, the minimum-energy configur

Externí odkaz: http://arxiv.org/abs/1904.02410

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Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films

Autor: Slastikov, Valeriy V., Muratov, Cyrill B., Robbins, Jonathan M., Tretiakov, Oleg A.

Publikováno v: Phys. Rev. B 99, 100403 (2019)

We analyze the electric current and magnetic field driven domain wall motion in perpendicularly magnetized ultrathin ferromagnetic films in the presence of interfacial Dzyaloshinskii-Moriya interaction and both out-of-plane and in-plane uniaxial anis

Externí odkaz: http://arxiv.org/abs/1808.03772

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Liquid crystal defects in the Landau-de Gennes theory in two dimensions-beyond the one-constant approximation

Autor: Kitavtsev, Georgy, Robbins, Jonathan M, Slastikov, Valeriy, Zarnescu, Arghir

We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent with the symmetry of the

Externí odkaz: http://arxiv.org/abs/1608.03139

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n-particle quantum statistics on graphs

Autor: Harrison, Jonathan M., Keating, Jonathan P., Robbins, Jonathan M., Sawicki, Adam

Publikováno v: Commun. Math. Phys. 330, 1293-1326 (2014)

We develop a full characterization of abelian quantum statistics on graphs. We explain how the number of anyon phases is related to connectivity. For 2-connected graphs the independence of quantum statistics with respect to the number of particles is

Externí odkaz: http://arxiv.org/abs/1304.5781

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Tubes of magnetic flux and electric current in space physics

Autor: Kleman, Maurice, Robbins, Jonathan M.

The singularities of an irrotational magnetic field are lines of electric current. This property derives from the relationship between vector fields and the topology of the underlying three-space and allows for a definition of {cosmic field} flux tub

Externí odkaz: http://arxiv.org/abs/1303.2677

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