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Critical dynamics near the λ-transition in 4He

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Festkörperprobleme 22

Part of the book series: Advances in Solid State Physics ((ASSP,volume 22))

Abstract

Universality and dynamic scaling behavior are discussed in the content of the critical dynamics near the lambda transition in 4He. By means of a field-theoretic renormalization-group approach the entire region between asymptotic criticality and noncritical back-ground behavior is studied. This approach provides a quantitative description of the observable dynamics in terms of nonasymptotic crossover functions rather than in terms of asymptotic power laws. It identifies two reasons for the experimentally observed large departures from universality and dynamic scaling: i) the possible instability of the dynamic-scaling fixed point, ii) a strong decrease of the effective mode-coupling constant towards a small background value. This resolves longstanding problems in the critical dynamics above and below the lambda transition and opens up the possibility of further detailed tests of the renormalization-group theory.

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Author information

Authors and Affiliations

  1. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Jülich, Federal Republic of Germany

    Volker Dohm

  2. Institut für Theoretische Physik, Universität Linz, Austria

    Reinhard Folk

  3. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Jülich, Federal Republic of Germany

    Reinhard Folk

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  1. Volker Dohm
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  2. Reinhard Folk
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P. Grosse Aachen

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© 1982 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Dohm, V., Folk, R. (1982). Critical dynamics near the λ-transition in 4He. In: Grosse Aachen, P. (eds) Festkörperprobleme 22. Advances in Solid State Physics, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107932

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  • DOI: https://doi.org/10.1007/BFb0107932

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