Role of non-topological solitons in statistical mechanics of 1D complex scalar fields with phase anisotropy
Role of non-topological solitons in statistical mechanics of 1D complex scalar fields with phase anisotropy
复制标题
非拓扑孤子在一维相位各向异性复标量场统计力学中的作用
DOI：
10.1088/0022-3719/14/15/001
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发表时间：
1981
期刊：
影响因子：
--
通讯作者：
K. Nakamura
中科院分区：
文献类型：
--
作者：
S. Ohta;K. Nakamura
解析地研究了一维复标量场在分岔点上方强各向异性区域的位相各向异性。将三井问题的精确WKB公式应用于由传递矩阵本征值方程导出的一维薛定谔方程的伪角部分。作者发现，在分叉点附近的强各向异性区域，非拓扑孤子在低温统计力学中占主导地位，这与Trullinger和Deleonardis(1980)最近的结果形成了鲜明的对比。通常，关联长度与1/(tNT2+tT2)1/2成正比，其中TnT和Tt分别是由非拓扑孤子和拓扑孤子产生的隧穿项。
Studies analytically 1D complex scalar fields with the phase anisotropy in the strong anisotropy region above the bifurcation point. The precise WKB formula for the three-well problem is applied to the pseudo-angular part of a set of 1D Schrodinger equations derived from the transfer-matrix eigenvalue equation. The authors find that non-topological solitons play the dominant role in the low-temperature statistical mechanics in the strong anisotropy region near the bifurcation point, in marked contrast to the recent results by Trullinger and DeLeonardis (1980). Generally, the correlation length is found to be proportional to 1/(tNT2+ tT2)1/2 with tNT and tT being tunnelling terms, arising respectively from non-topological and topological solitons.