Abstract
A scheme is presented for the description of the states and dynamics of infinitely extended systems. In this scheme, the physical states of a system are taken to comprise the maximal folium of its locally normal states which can support a one-parameter group of affine transformations, that corresponds to a certain infinite volume limit of the time-translational group for the states of a finite system of particles of the same species. The resultant one-parameter group of transformations of the physical states of the infinitely extended system is then taken to correspond to its time-translations. An explicit construction is given which serves to identify the physical states and dynamics of the system in terms of its interactions. The present scheme generalises that of Dubin and the author beyond the islands of Gibbs states.
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Sewell, G.L. States and dynamics of infinitely extended physical systems. Commun.Math. Phys. 33, 43–51 (1973). https://doi.org/10.1007/BF01645605
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DOI: https://doi.org/10.1007/BF01645605