• Partition function of nearest neighbour Ising models: Some new insights

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    • Keywords


      Ising model; partition function, Toeplitz matrix; recurrence relation; Discrete Fourier Transform.

    • Abstract


      The partition function for one-dimensional nearest neighbour Ising models is estimated by summing all the energy terms in the Hamiltonian for N sites. The algebraic expression for the partition function is then employed to deduce the eigenvalues of the basic $2 \times 2$ matrix and the corresponding Hermitian Toeplitz matrix is derived using the Discrete Fourier Transform. A new recurrence relation pertaining to the partition function for two-dimensional Ising models in zero magnetic field is also proposed.

    • Author Affiliations


      G Nandhini1 M V Sangaranarayanan1

      1. Department of Chemistry, Indian Institute of Technology Madras, Chennai 600 036
    • Dates

  • Journal of Chemical Sciences | News

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      Posted on July 25, 2019

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