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We study the dynamics of many-body systems with retarded interactions and show how their non-Markovian character can lead to nonergodic behavior. This nonergodicity is characterized by the appearance of long periods or chaotic wanderings in phase space. We construct the phase diagrams for Ising-type systems with delayed interactions, and show the emergence of non-Gibbsian measures as a function of both interaction strengths and delays.
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Choi et al. (1985) studied this question.
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