Abstract
A study is presented of asymptotically normal dynamical semigroups for which there exists a faithful normal state satisfying the detailed balance condition. Such dynamics reveals a return to a stationary state if additionally a weak cluster property is assumed. The generalized stability condition and generalized wave operators are introduced. The theory is illustrated by models.
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Majewski, W.A. Return to equilibrium and stability of dynamics (semigroup dynamics case). J Stat Phys 55, 417–433 (1989). https://doi.org/10.1007/BF01042609
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DOI: https://doi.org/10.1007/BF01042609