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On the Internal Structure of Smaller Domains in Domain Coarsening Dynamics of Spontaneous \(Z_2\)-Symmetry Breaking in Two Dimensions

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Abstract

The internal structure of domains smaller than the characteristic size in domain coarsening dynamics of \(Z_2\) symmetry breaking is evaluated theoretically for different phase-ordering systems in two dimensions. In the previous works on (non-) conserved Ising systems and binary superfluids, the statistical properties of smaller domains are analyzed by assuming that the contribution from its internal structure is negligible. It is shown that this assumption is justified analytically with respect to the statistical quantities, such as domain area, domain wall length and superfluid circulation, according to the empirical dynamic scaling law for the smaller domains.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Nos. JP17K05549 and JP17H02938. The present research was also supported in part by the Osaka City University (OCU) Strategic Research Grant 2018 for young researchers.

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  1. Department of Physics, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan

    Hiromitsu Takeuchi

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  1. Hiromitsu Takeuchi
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Correspondence to Hiromitsu Takeuchi.

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Takeuchi, H. On the Internal Structure of Smaller Domains in Domain Coarsening Dynamics of Spontaneous \(Z_2\)-Symmetry Breaking in Two Dimensions. J Low Temp Phys 196, 314–320 (2019). https://doi.org/10.1007/s10909-018-02129-8

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  • DOI: https://doi.org/10.1007/s10909-018-02129-8

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