反铁磁交换作用对芒硝的影响 一维伊辛模型的动力学

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摘要翻译：
我们研究了反铁磁相互作用对两个自旋$\pm1$的一维Ising模型的单自旋翻转Glauber动力学的影响。第一个模型是一个Ising链，反铁磁交换作用仅限于最近邻，并受到振荡磁场的影响。描述子晶格磁化时间演化的主方程组可以在线性场近似下和较长的时间限制内很容易地求解。在低频率下，只有当相对子晶格上的自旋由于不同的旋磁因子而未被补偿时（即在存在亚铁磁短程阶时），磁化强度随温度的共振行为（随机共振）才被发现。第二个模型是轴向次近邻伊辛链，其中次近邻(nnn)之间的反铁磁交换被假定与任一符号的最近邻(nn)交换相互作用竞争。在关闭主方程组所需的三自旋关联函数解耦近似框架下，研究了该模型对弱振荡磁场的长时间响应。在这种近似的理论格式下，计算了动力学临界指数z,定义为${1/\tau}\\ex({1/\xi}}）^z$（其中\tau是最长的弛豫时间，\xi是链的相关长度），表明ANNNI链的t=0单自旋翻转Glauber动力学与未受挫的Ising链的t=0单自旋翻转Glauber动力学具有不同的普适性。
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英文标题：
《Effect of antiferromagnetic exchange interactions on the Glauber
  dynamics of one-dimensional Ising models》
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作者：
Maria Gloria Pini and Angelo Rettori
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Materials Science        材料科学
分类描述：Techniques, synthesis, characterization, structure.  Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

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英文摘要：
  We study the effect of antiferromagnetic interactions on the single spin-flip Glauber dynamics of two different one-dimensional (1D) Ising models with spin $\pm 1$. The first model is an Ising chain with antiferromagnetic exchange interaction limited to nearest neighbors and subject to an oscillating magnetic field. The system of master equations describing the time evolution of sublattice magnetizations can easily be solved within a linear field approximation and a long time limit. Resonant behavior of the magnetization as a function of temperature (stochastic resonance) is found, at low frequency, only when spins on opposite sublattices are uncompensated owing to different gyromagnetic factors (i.e., in the presence of a ferrimagnetic short range order). The second model is the axial next-nearest neighbor Ising (ANNNI) chain, where an antiferromagnetic exchange between next-nearest neighbors (nnn) is assumed to compete with a nearest-neighbor (nn) exchange interaction of either sign. The long time response of the model to a weak, oscillating magnetic field is investigated in the framework of a decoupling approximation for three-spin correlation functions, which is required to close the system of master equations. The calculation, within such an approximate theoretical scheme, of the dynamic critical exponent z, defined as ${1/\tau} \approx ({1/ {\xi}})^z$ (where \tau is the longest relaxation time and \xi is the correlation length of the chain), suggests that the T=0 single spin-flip Glauber dynamics of the ANNNI chain is in a different universality class than that of the unfrustrated Ising chain.
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PDF链接：
https://arxiv.org/pdf/707.1953

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关键词：动力学 interactions interaction Transitions correlation different 影响 spin 表明