scholarly journals Nature of the tensor order in Cd2Re2O7

2017 ◽  
Vol 96 (11) ◽  
Author(s):  
S. Di Matteo ◽  
M. R. Norman
Keyword(s):  
Tensor Order

scholarly journals Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory

2010 ◽  
Vol 21 (2) ◽  
pp. 181-203 ◽  
Author(s):  
APALA MAJUMDAR
Keyword(s):  
Three Dimensional ◽  
Energy Functional ◽  
Order Parameters ◽  
Tensor Order ◽  
Temperature Regimes ◽  
Explicit Bounds ◽  
Scalar Order ◽  
Definition Of ◽  
Gennes Theory ◽  
The Continuum

We study equilibrium liquid crystal configurations in three-dimensional geometries, within the continuum Landau-de Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters in terms of the temperature and material-dependent constants. We explicitly quantify the temperature regimes where the Landau-de Gennes predictions match and the temperature regimes where the Landau-de Gennes predictions do not match the probabilistic second-moment definition of the Q-tensor order parameter. The regime of agreement may be interpreted as the regime of validity of the Landau-de Gennes theory since the Landau-de Gennes theory predicts large values of the equilibrium scalar order parameters – larger than unity, in the low-temperature regime. We discuss a modified Landau-de Gennes energy functional which yields physically realistic values of the equilibrium scalar order parameters in all temperature regimes.

On the classification of equilibrium superfluid states with scalar and tensor order parameters

2002 ◽  
Vol 28 (4) ◽  
pp. 227-234 ◽  
Author(s):  
M. Yu. Kovalevsky ◽  
S. V. Peletminsky ◽  
N. N. Chekanova
Keyword(s):  
Order Parameters ◽  
Tensor Order

scholarly journals Негейзенберговский ферримагентик с одноионной анизотропией

2022 ◽  
Vol 64 (3) ◽  
pp. 337
Author(s):  
О.А. Космачев ◽  
Е.А. Ярыгина ◽  
Я.Ю. Матюнина ◽  
Ю.А. Фридман
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Exchange Interaction ◽  
Order Parameters ◽  
Easy Plane ◽  
Heisenberg Exchange ◽  
Ferrimagnetic Phase ◽  
Tensor Order ◽  
Plane Type

We have investigated the effect of single-ion anisotropy of the "easy plane" type on the phase states of a ferrimagnet with S = 1 and σ=1/2 sublattices and non-Heisenberg (bilinear and biquadratic in spins) exchange interaction for the sublattice with S = 1. It is shown that taking into account both the non-Heisenberg exchange interaction and the single-ion anisotropy of the sublattice with S = 1 leads to the realization of a phase with vector order parameters (ferrimagnetic phase) and a phase characterized by both vector and tensor order parameters (quadrupole-ferrimagnetic). It is shown that taking into account single-ion anisotropy changes the type of phase transition in comparison with an isotropic non-Heisenberg ferrimagnet. A phase diagram is constructed, and the condition for the compensation of the sublattice spins is determined.

Convective nonlinearities for the orientational tensor order parameter in polymeric systems

2002 ◽  
Vol 41 (4) ◽  
pp. 375-382 ◽  
Author(s):  
Harald Pleiner ◽  
Mario Liu ◽  
Helmut R. Brand
Keyword(s):  
Order Parameter ◽  
Polymeric Systems ◽  
Tensor Order ◽  
Tensor Order Parameter
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