Sentences with phrase «ising model»

In condensed matter physics, Dyson also did studies in the phase transition of the Ising model in 1 dimension and spin waves [11] Dyson was awarded the Lorentz Medal in 1966 and Max Planck medal in 1969.

(Aside: I spent three years working with a guy who believed that almost everything interesting in the world could be modeled with an Ising model.

If that recipe can be optimized, then it may be easier to simulate on a computer the Ising model instead of the original model, De las Cuevas says.

But De las Cuevas says that the computational demands of the Ising model are only modestly bigger than those of the original model.

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.

The Ising model was the first spin model, invented in 1920 by German physicist Wilhelm Lenz, who gave it to his student Ernst Ising to analyze.

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.

That «Ising model» is the simplest spin model and already has a legendary history.

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.

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.

However, he could «solve» only the 1D Ising model — a single string of spins — and found it had no phase transition.

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.

While working at Sandia National Laboratories, he translated the Ising model into the language of graph theory, in essence defining the problem as a set of points and edges.

The Ising model was introduced in 1920 to simulate how small - scale changes, such as interactions between atoms, can contribute to large - scale order, such as whether a sliver of iron will be magnetic.

The interactions between neighbouring particles try to align them either in the same or in the opposite direction, which is known as the Ising model, after the physicist Ernst Ising who studied it in his 1924 PhD thesis.

Using a mathematical model known as the Ising model, invented to describe phase transitions in statistical physics, such as how a substance changes from liquid to gas, the Johns Hopkins researchers calculated the probability distribution of methylation along the genome in several different human cell types, including normal and cancerous colon, lung and liver cells, as well as brain, skin, blood and embryonic stem cells.

Applying the Ising model to their physical lattice, the researchers found that the model predicted a phase transition in response to a change in one parameter, which, in this case, turned out to be gap size.

Like I said, I spent years using Ising models as models of glassy behavior, so I know what it's like to work with a model where if you're within an order of magnitude, it's all good.

Not exact matches

Meanwhile, spurred in part by Ising's difficulties, physicists invented plenty of other spin models.

Indeed, Onsager found that the materials, which follow the Ising spin model, have a phase transition.

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