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2. Ising model - Wikipedia

   en.wikipedia.org/wiki/Ising_model

   Download QR code; Print/export ... The Metropolis algorithm is actually a version of a Markov chain Monte Carlo simulation, ... The 2D Ising model was the first model ...

3. Glauber dynamics - Wikipedia

   en.wikipedia.org/wiki/Glauber_dynamics

   In the Ising model, we have say N particles that can spin up (+1) or down (-1). Say the particles are on a 2D grid. We label each with an x and y coordinate. Glauber's algorithm becomes: [3] Choose a particle , at random. Sum its four neighboring spins.

4. Two-dimensional critical Ising model - Wikipedia

   en.wikipedia.org/wiki/Two-dimensional_critical...

   The two-dimensional critical Ising model is the critical limit of the Ising model in two dimensions. It is a two-dimensional conformal field theory whose symmetry algebra is the Virasoro algebra with the central charge c = 1 2 {\displaystyle c={\tfrac {1}{2}}} .

5. Ising critical exponents - Wikipedia

   en.wikipedia.org/wiki/Ising_critical_exponents

   In d=2, the two-dimensional critical Ising model's critical exponents can be computed exactly using the minimal model,. In d=4, it is the free massless scalar theory (also referred to as mean field theory). These two theories are exactly solved, and the exact solutions give values reported in the table.

6. Square lattice Ising model - Wikipedia

   en.wikipedia.org/wiki/Square_lattice_Ising_model

   In statistical mechanics, the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions, yet having an analytical solution. The model was solved by Lars Onsager for the special case that the external magnetic field H = 0. [1]

7. Swendsen–Wang algorithm - Wikipedia

   en.wikipedia.org/wiki/Swendsen–Wang_algorithm

   The original algorithm was designed for the Ising and Potts models, and it was later generalized to other systems as well, such as the XY model by Wolff algorithm and particles of fluids. The key ingredient was the random cluster model , a representation of the Ising or Potts model through percolation models of connecting bonds, due to Fortuin ...