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On the equivalence between stochastic baker's maps and two-dimensional spin systems

Kristian Lindgren (Institutionen för energi och miljö, Fysisk resursteori)
EPL - European physics letters (0295-5075). Vol. 90 (2010), 3, p. 30011 / 1-4.
[Artikel, refereegranskad vetenskaplig]

We show that there is a class of stochastic bakers transformations that is equivalent to the class of equilibrium solutions of two-dimensional spin systems with finite interaction. The construction is such that the equilibrium distribution of the spin lattice is identical to the invariant measure in the corresponding bakers transformation. We illustrate the equivalence by deriving two stochastic bakers maps representing the Ising model at a temperature above and below the critical temperature, respectively. A calculation of the invariant measure and the free energy in the baker system is then shown to be in agreement with analytic results of the two-dimensional Ising model.



Denna post skapades 2010-06-11. Senast ändrad 2016-08-22.
CPL Pubid: 122680

 

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Institutioner (Chalmers)

Institutionen för energi och miljö, Fysisk resursteori

Ämnesområden

Fysik

Chalmers infrastruktur