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It was shown within the framework of spin-wave theory that long-range antiferromagnetic order was absent because of frustration of exchange coupling and transverse quantum spin fluctuations.
      
It is found that the spin glass state arises from the frustration of the exchange coupling of the ferromagnetic clusters embedded in the antiferromagnetic matrix.
      
The presence of oxygen vacancies leads to the frustration of a part, namely, Vfr ≈ 22%, of the indirect Mn3+-O-Mn3+ exchange interactions, but the spin glass state is not realized.
      
The origin of frustration of magnetic coupling in the NiFeCrO4 ferrite
      
It is found that the frustration of magnetic coupling occurs only in the B sublattice of the NiFeCrO4 ferrite, whereas the A sublattice has a usual magnetic structure.
      
The inference is made that the frustration of magnetic coupling in the B sublattice is caused not only by the negative direct BB exchange interaction CrB3+-CrB3+ but also by the positive indirect AB exchange interaction FeA3+-O2--CrB3+.
      
Roughness of the interfaces between layers in a multilayer magnetic structure causes frustration of the exchange interaction between spins.
      
The conclusion is drawn that the degree of frustration of magnetic interactions in the A sublattice increases with increasing x, with the result that the dependence σs(T) transforms from an N-type curve to an anomalous dependence of a new type.
      
It is concluded that the frustration of magnetic coupling leads to suppression of the cooperative Jahn-Teller effect in dilute copper ferrites with a frustrated magnetic structure.
      
At low temperatures, doping with iron enhances the frustration of the system, which manifests itself in a more regular behavior of the decay rate of the remanent magnetization with time.
      
It is suggested that effective charge carrier production in the structures doped with pure phthalocyanine leads to frustration of a homogeneous orientation of the liquid crystal mesophase, which is restored upon adding C60and/or C70 fullerenes.
      
This variation reduces the intrinsic frustration of the model, and improves the tendency towards cooperation and self organization.
      
Frustration of the single-component vesicle system is released if a second amphiphile, of the same type of the ganglioside GM3 but with a larger head group, is added.
      
Such system constitutes an "out-of-equilibrium" frustrated model system: the selective swelling of the PAA brush results in a frustration of the interface curvature, which the ratio h/RC allows to quantify.
      
All structures break the geometric frustration of the unit cell by triangular antiferromagnetic ordering of the Mn spins.
      
We look for possible ordered geometrical configurations with bicontinuous or cellular topologies, optimizing the frustration of a periodic system of frustrated fluid films.
      
But the works of several prominent artists also reflect the pain and frustration of arthritis.
      
Transmuting internalizations, or psychic structure building, occur when optimal frustration of these needs can be provided by available selfobjects.
      
Solar Flare Phenomena as Phase Transition Caused by Frustration of Current Percolation
      
We present analysis of flare process as "phase transition" phenomena caused by frustration of current percolation in turbulent current sheet.
      
 

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