2018/12/17 by Hiromitsu Takeuchi · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Domain (mathematical analysis) #Domain wall (magnetism) #Geometry #Ising model #Magnetic field #Magnetization #Mathematical analysis #Mathematics #Phase (matter) #Physics #Quantum many-body systems #Quantum mechanics #Scaling #Statistical physics #Superfluidity #Symmetry (geometry) #Symmetry breaking #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1007/s10909-018-02129-8
published in Journal of Low Temperature Physics 196(1-2), 314-320 (Springer Science+Business Media) · 7 pages, 1 figure
openalex publication_date 2018/12/17 · openalex created_date 2018/12/22 · arxiv created 2019/07/02 · arxiv updated 2019/07/04 · openalex updated_date 2026/08/05
The internal structure of domains smaller than the characteristic size in domain coarsening dynamics of Z2 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.