It was recalled that Peierlâ€™s 1940 model had proposed that dislocations arose from a compromise between long-range elastic forces and lattice periodicity. It implied that dislocation pairs interacted via a logarithmic potential. It was shown that the corresponding 1-dimensional statistical mechanics model exhibited a physically realizable dislocation-mediated melting transition of infinite order.

E.B.Kolomeisky, J.P.Straley: Physical Review Letters, 1996, 76[16], 2930-3