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首页> 外文期刊>Revista Colombiana de Fisica >Phase Diagrams For Generalized Spin-1 And 3/2 Ising Model By Using Linear Chain Approximation And Monte Carlo Simulations
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Phase Diagrams For Generalized Spin-1 And 3/2 Ising Model By Using Linear Chain Approximation And Monte Carlo Simulations

机译：使用线性链近似和蒙特卡洛模拟的广义Spin-1和3/2 Ising模型的相图

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120 1920x1200 Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable{mso-style-name:"Table Normal";mso-tstyle-rowband-size:0;mso-tstyle-colband-size:0;mso-style-noshow:yes;mso-style-priority:99;mso-style-qformat:yes;mso-style-parent:"";mso-padding-alt:0cm 5.4pt 0cm 5.4pt;mso-para-margin-top:0cm;mso-para-margin-right:0cm;mso-para-margin-bottom:10.0pt;mso-para-margin-left:0cm;line-height:115%;mso-pagination:widow-orphan;font-size:11.0pt;font-family:"Calibri","sans-serif";mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;} Se estudió el modelo de Ising de espín general por la aproximación de la cadena lineal (CL) y las simulaciones de Monte Carlo (MC). Los diagramas de fases en el plano de la anisotropía reducida como función de la temperatura reducida que se obtuvieron, en particular para _ = 1 y 3 = 2 , son cualitativamente los mismos reportados por la teoría de campo medio y de la aproximación de pares. Para _ = 1 y a temperaturas bajas, hay una línea de primer orden y otra de segundo, las cuales se conectan en un punto especial denominado punto tricrítico (PTC) y para _ = 3 = 2 , no se presenta el PTC, pero sí una línea de primer orden que separa las fases m 1 = 3 = 2 y m 2 = 1 = 2 y finaliza en un punto crítico multifásico aislado. Las simulaciones MC, realizadas sobre redes cúbicas simples, concuerdan con la CL. En suma, se demostró que el diagrama de fases para el modelo de Ising generalizado no depende del método sino que es intrínseco al modelo.   120 1920x1200 Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable{mso-style-name:"Table Normal";mso-tstyle-rowband-size:0;mso-tstyle-colband-size:0;mso-style-noshow:yes;mso-style-priority:99;mso-style-qformat:yes;mso-style-parent:"";mso-padding-alt:0cm 5.4pt 0cm 5.4pt;mso-para-margin-top:0cm;mso-para-margin-right:0cm;mso-para-margin-bottom:10.0pt;mso-para-margin-left:0cm;line-height:115%;mso-pagination:widow-orphan;font-size:11.0pt;font-family:"Calibri","sans-serif";mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;} The Generalized Spin Ising Model was studied using the Linear Chain Approximation (LC) and Monte Carlo (MC) Simulations. Phase diagrams in the reduced anisotropy plane as functions of reduced temperature obtained, for _ = 1 and 3 = 2 , are qualitatively the same as those of the usual mean field theory and pair approximation for the free energy. For _ = 1 and low temperatures there are one first- and one second-order lines, which are connected to a special point called tricritical point (TCP). For _ = 3 = 2 , there is not TCP, but there exists a first-order line separating the phases m 1 = 3 = 2 and m 2 = 1 = 2 which ends at an isolated multiphase critical point. MC simulations on simple cubic lattices also confirm the general trend of the mean field like approach. In sum, it was shown that the phase diagram for the generalized Ising model does not depend on the method but is intrinsic to the model.
机译：120 1920x1200正常0否否否EN-US X-NONE X-NONE / *样式定义* / table.MsoNormalTable {mso-style-name：“ Table Normal”; mso-tstyle-rowband-size：0; mso-tstyle -colband-size：0; mso-style-noshow：是; mso-style-priority：99; mso-style-qformat：是; mso-style-parent：“”; mso-padding-alt：0cm 5.4pt 0cm 5.4pt; mso-para-margin-top：0cm; mso-para-margin-right：0cm; mso-para-margin-bottom：10.0pt; mso-para-margin-left：0cm;线高：115％ ; mso-pagination：寡妇孤儿;字体大小：11.0pt;字体家族：“ Calibri”，“ sans-serif”; mso-ascii-font-family：Calibri; mso-ascii-theme-font：minor-拉丁语; mso-fareast-font-family：“ Times New Roman”; mso-fareast-theme-font：minor-fareast; mso-hansi-font-family：Calibri; mso-hansi-theme-font：minor-latin; }通过线性链近似（CL）和蒙特卡洛模拟（MC）研究了通用自旋伊辛模型。在各向异性降低的平面中，随温度降低而变化的相位图，特别是在_ = 1和3 = 2时，在质量上均与平均场理论和对近似所报告的相同。对于_ = 1且在低温下，有一条第一级线和一条第二级线，它们连接在一个称为三临界点（PTC）的特殊点上，而对于_ = 3 = 2，则不显示PTC，但是分隔相m 1 = 3 = 2和m 2 = 1 = 2并终止于孤立的多相临界点的第一阶线。在简单三次网络上进行的MC模拟与CL一致。总而言之，表明广义Ising模型的相图不依赖于方法，而是模型固有的。 120 1920x1200正常0否否否EN-US X-NONE X-NONE / *样式定义* / table.MsoNormalTable {mso-style-name：“ Table Normal”; mso-tstyle-rowband-size：0; mso-tstyle -colband-size：0; mso-style-noshow：是; mso-style-priority：99; mso-style-qformat：是; mso-style-parent：“”; mso-padding-alt：0cm 5.4pt 0cm 5.4pt; mso-para-margin-top：0cm; mso-para-margin-right：0cm; mso-para-margin-bottom：10.0pt; mso-para-margin-left：0cm;线高：115％ ; mso-pagination：寡妇孤儿;字体大小：11.0pt;字体家族：“ Calibri”，“ sans-serif”; mso-ascii-font-family：Calibri; mso-ascii-theme-font：minor-拉丁语; mso-fareast-font-family：“ Times New Roman”; mso-fareast-theme-font：minor-fareast; mso-hansi-font-family：Calibri; mso-hansi-theme-font：minor-latin; }使用线性链近似（LC）和蒙特卡洛（MC）仿真研究了广义自旋伊辛模型。对于_ = 1和3 = 2，在减小的各向异性平面中作为降低的温度的函数的相图在质量上与通常的平均场论和自由能对近似的相图相同。对于_ = 1和低温，有一条一阶和一条二阶线路，它们连接到一个称为三临界点（TCP）的特殊点。对于_ = 3 = 2，没有TCP，但是存在一条将相m 1 = 3 = 2和m 2 = 1 = 2相分离的第一线，该相线终止于孤立的多相临界点。简单立方晶格上的MC模拟也证实了平均场法的总体趋势。总而言之，表明广义Ising模型的相图不依赖于方法，而是模型固有的。

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