Nonuniform Effective Temperatures in Ising Models on Tangled Chains
Physics and Astronomy
Exact solutions are presented for the partition function of a tangled Ising chain in a magnetic field. The tangled geometry introduces additional bonds at knots that couple otherwise distant pairs of spins across (not along) the chain. These additional bonds are introduced as a form of perfectly correlated disorder, and then their effects on the spin correlation are studied.
Physica A: Statistical Mechanics and its Applications
Stephens, J. M.,
Mead, L. R.,
(1990). Nonuniform Effective Temperatures in Ising Models on Tangled Chains. Physica A: Statistical Mechanics and its Applications, 167(3), 749-755.
Available at: https://aquila.usm.edu/fac_pubs/7490