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Lattice Model (physics)




In Physics , a lattice model is a physical model that is not defined on a Continuum , but on a Lattice , which is a Graph or an ''n''-complex approximating Spacetime or Space . The lattice is ''translationally invariant'' if it has Translational Symmetry and the Primitive Cell contains a finite number of nodes.

In Condensed Matter Physics , the Atom s of a Crystal automatically form a lattice and this is one application of lattice theory.

See Ising Model , XY Model .

Another is as an approximation to a Continuum theory, either to give an Ultraviolet Cutoff to the theory to prevent divergences or to perform Numerical Computations .

See QCD Lattice Model s.

Numerical Computations for Partial Differential Equation s are lattice models because computers only work with discrete data.

See Scaling Limit .


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