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Differential real space renormalization: The linear Ising chain

Author

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  • van Saarloos, W.
  • van Leeuwen, J.M.J.
  • Stella, A.L.

Abstract

The differential real space renormalization method, recently introduced by Hillhorst et al., is applied to the linear Ising chain. It is shown that chains with spatially homogeneous as well as inhomogeneous or quenched random interactions can be treated. For the first two cases the free energy is computed by renormalization. The discussion includes also the case with a magnetic field, higher order interactions and the behavior of correlation functions under renormalization.

Suggested Citation

  • van Saarloos, W. & van Leeuwen, J.M.J. & Stella, A.L., 1979. "Differential real space renormalization: The linear Ising chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(2), pages 319-348.
    • Handle: RePEc:eee:phsmap:v:97:y:1979:i:2:p:319-348
    DOI: 10.1016/0378-4371(79)90110-9
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    Cited by:

    1. Van Saarloos, Wim, 1982. "Exact differential renormalization group equations for Ising models on square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 65-100.
    2. Payandeh, B. & Van Leeuwen, J.M.J., 1981. "The calculation of the magnetic exponent in real space differential renormalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(3), pages 589-602.

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