Paramagnetic and glass transitions in sudoku.

  title={Paramagnetic and glass transitions in sudoku.},
  author={A. Williams and G. Ackland},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={86 3 Pt 1},
  • A. Williams, G. Ackland
  • Published 2012
  • Physics, Medicine, Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We study the statistical mechanics of a model glassy system based on sudoku, a familiar and popular mathematical puzzle. Sudoku puzzles provide a very rare example of a class of frustrated systems with a unique ground state without symmetry. Here, the puzzle is recast as a thermodynamic system where the number of violated rules defines the energy. We use Monte Carlo simulation to show that the "sudoku Hamiltonian" exhibits two transitions as a function of temperature, a paramagnetic, and a… CONTINUE READING
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