Structural frustration in a rod packing exhibits analogy to frustration effects in antiferromagnetic systems. Like the spins in a triangular Ising net, rods with periodic contour may arrange randomly. Such frustration effects are observed in rare earth metal carbide nitride halides composed of C2 centered RE6 octahedra and N centered RE4 tetrahedra. These can be connected in varying sequences t...

In magnetism, of which molecular magnetism is a part, the term frustration is used rather sloppily. Sometimes one gains the impression that if the reason for some phenomenon is not quite clear then it is attributed to frustration. In this paper a discussion of the effects of frustration that are relevant for the field of molecular magnetism is presented. As will become clear later these effects...

Frustration is an important phenomenon in condensed matter physics because it can introduce a new order parameter such as chirality. Towards understanding a mechanism of the frustration in strongly correlated systems, we study a holographic superconductor model with three scalar fields and an interband Josephson coupling, which is important for the frustration. We analyze free energy of solutio...

We find Cu2(AsO4)(OH)·3H2O (euchroite) is a model compound for the frustrated delta chain which is composed of corner-sharing triangles. Magnetic susceptibility, specific heat, high field magnetization and H-NMR measurements are carried out using natural mineral samples of euchroite to study magnetic properties. Large spin gap of about 100 K is shown to be presented in this compound. ∗Present a...

We consider discrete spin models on arbitrary planar graphs and lattices with frustrated interactions. We first analyze the Ising model with frustrated plaquettes. We use an algebraic approach to derive the result that an Ising model with some of its plaquettes frustrated has a dual model which is an Ising model with an external field ipi/2 applied to the dual sites centered at frustrated plaqu...

In an effort to understand the glass transition, the dynamics of a nonrandomly frustrated spin model has been analyzed. The phenomenology of the spin model is similar to that of a supercooled liquid undergoing the glass transition. The slow dynamics can be associated with the presence of extended stringlike structures which demarcate regions of fast spin flips. An entropy-vanishing transition, ...

In spite of the prevalence of frustration in everyday life, very few neuroimaging studies were focused on this emotional state. In the current study we aimed to examine effects of frustration on brain activity while performing a well-learned task in participants with low and high tolerance for arousal. Prior to the functional magnetic resonance imaging session, the subjects underwent 2 weeks of...

Mitigating frustration is important within computer-based learning contexts. In this experimental study where participants were purposefully frustrated, the interface agent message (apologetic, empathetic, or silent) was manipulated to investigate its impact on student attitude toward the task, attitude toward the agent, and attribution toward the cause of frustration. Fifty-seven undergraduate...

Computing the frustration index of a signed graph is a key to solving problems in different fields of research including social networks, physics, material science, and biology. In social networks the frustration index determines network distance from a state of structural balance. Although the definition of frustration index goes back to 1960, an exact algorithmic computation method has not ye...