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date: 14 October 2019

Abstract and Keywords

This chapter examines the theory underlying the science of materials, evaluates the progress in the understanding of the thermodynamic phases of matter, and discusses condensed matter physics and the idea that changes in phase involve the presence of a mathematical singularity. It also argues that the understanding of the behavior of systems at and near phase transitions requires a synthesis between standard statistical mechanical uses of probabilities and concepts from dynamical systems theory.

Keywords: science of materials, phases of matter, condensed matter physics, mathematical singularity, phase transitions, probabilities, dynamical systems theory

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