Abstract
We present a review of available computer simulation results on the structure and thermodynamical properties of grain boundaries at temperatures T > 0.4 Tmelting. We discuss the possible existence of premelting effects in internal interfaces by comparing the results with the predictions of phenomenological theories of melting and, by analogy, with recent experimental results on surface melting. Experiments on possible premelting effects in grain boundaries indicate that melting of internal interfaces, in the sense of the formation of a macroscopic thick liquid layer inside the boundary, should occur in pure systems only near to the bulk melting point. These computer simulation studies which leaded to a different conclusion are examinde in detail. Large scale computer simulations, additional theoretical work and more precise experiments are neeeded to clarify this point

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