Research PapersNo Access
LONG RANGE 1-d POTENTIAL AT BORDER OF THERMODYNAMIC LIMIT
https://doi.org/10.1142/S0217984906011128Cited by:2 (Source: Crossref)
Abstract
In this work we consider new forms of the 1-d long range potential close to the thermodynamic limit. We also look at the potential close to the transition from long range order to short range order. We find an interesting duality between the two potentials, based on Dyson's sufficiency conditions for the existence of a phase transition. An important conclusion of our study is that the very long range nature of the potential causes Monte Carlo simulations to reach an apparent, but misleading, convergence. Thus, one needs to exercise great caution in deriving conclusions from such studies.
