计算物理
計算物理
계산물리
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2009年
6期
937-941
,共5页
三维Ising模型%重点抽样法%相变临界点%温度%外磁场
三維Ising模型%重點抽樣法%相變臨界點%溫度%外磁場
삼유Ising모형%중점추양법%상변림계점%온도%외자장
3-dimensional Ising model%importance sampling%critical point of phase transformation%temperature%exterior magnetic field
采用蒙特卡罗(Monte Cado)重点抽样法对三维Ising模型进行计算机模拟,测量无外磁场时三维Ising模型中自旋键链的能量、磁化强度、比热及磁化率的统计平均值与标准误差(不确定度).结果表明,三维Ising模型在无外磁场时存在自发磁化现象,铁磁→非铁磁相变临界点在J/(kBTc=0.222 0,或居里温度Tc=4.500 0处.并研究存在外磁场时上述物理量随温度与外磁场的变化规律,给出物理解释.
採用矇特卡囉(Monte Cado)重點抽樣法對三維Ising模型進行計算機模擬,測量無外磁場時三維Ising模型中自鏇鍵鏈的能量、磁化彊度、比熱及磁化率的統計平均值與標準誤差(不確定度).結果錶明,三維Ising模型在無外磁場時存在自髮磁化現象,鐵磁→非鐵磁相變臨界點在J/(kBTc=0.222 0,或居裏溫度Tc=4.500 0處.併研究存在外磁場時上述物理量隨溫度與外磁場的變化規律,給齣物理解釋.
채용몽특잡라(Monte Cado)중점추양법대삼유Ising모형진행계산궤모의,측량무외자장시삼유Ising모형중자선건련적능량、자화강도、비열급자화솔적통계평균치여표준오차(불학정도).결과표명,삼유Ising모형재무외자장시존재자발자화현상,철자→비철자상변림계점재J/(kBTc=0.222 0,혹거리온도Tc=4.500 0처.병연구존재외자장시상술물리량수온도여외자장적변화규률,급출물리해석.
A 3-dimensional Ising model is simulated with Monte Carlo importance sampling method. Statistical values of energy, strength of magnetization, specific heat and rate of magnetization of spin links as well as their standard errors (uncertainties) are measured. 3-dimensional Ising model shows spontaneous magnetization with no exterior magnetic field. Critical point of phase transformation is at J/( k_BT_c ) = 0.222 0 or T_c = 4.500 0. Phase transformation at high temperature disappears with exterior magnetic field. Relationship between physical quantities, temperature and exterior magnetic field is investigated and analyzed.
