New Kinds of Phase Transitions: Transformations in disordered Substances

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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10 pages, 2 figures. Based on the invited talk presented at the Bogolyubov Conference "Problems of Theoretical and Mathematica

Scientific paper

The transitions in disordered substances are discussed briefly: liquid--liquid phase transitions, liquid--glass transition and the transformations of one amorphous form to another amorphous form of the same substances. A description of these transitions in terms of many--particle conditional distribution functions is proposed. The concept of a hidden long range order is proposed, which is connected with the broken symmetry of higher order distribution functions. The appearance of frustration in simple supercooled Lennard--Jones liquid is demonstrated.

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