Sentences with phrase «2d ising»

They then prove that any particular 2D Ising model — i.e., with a particular set of coupling and external fields — is equivalent to an instance of a logical problem called the satisfiability, or SAT, problem, in which the goal is to come up with a set of logical statements, A, B, C,... that satisfy a long logical formula such as «A and not (B or C)...» The theorists present a way to map the SAT problem onto the 2D Ising model.

The 2D Ising model must have more spins than the original spin model.

In the future, the team would like to study other 2D transition metal materials, going beyond the 2D Ising spin model.

The simple 2D Ising model, shown schematically on the left, can be made equivalent to any other more complicated spin model, such as those on the right.

That SAT problem can then be translated onto the 2D Ising model, thus making the two spin models equivalent.

It provides a recipe for translating any spin model, no matter how baroque, into a 2D Ising model, with the complexity of the original model encoded in the couplings between the Ising spins and the magnetic fields.

The famously incomprehensible Onsager, who won the 1968 Nobel Prize in Chemistry for earlier work but also lost two faculty jobs, showed that the 2D Ising model does have a phase transition — the first seen in a theoretical model.

Not exact matches

Then in 1944 the enigmatic Norwegian - American chemist Lars Onsager solved the Ising model with uniform couplings and no external fields on a 2D square pattern of spin.