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Monte carlo simulation of polymer chain with ferromagnetic ising interaction

机译:具有铁磁伊辛相互作用的聚合物链的蒙特卡洛模拟

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We consider a self-avoiding walking polymer chain with nearest-neighbor ferromagnetic Ising interaction (J > 0) on the simple cybic lattice. The magnetic and conformational properties are simulated using Monte Carlo technique was bond-fluctuation model. Spontaneous magnetization is observed at low temperature. We estimate the critical temperature T_c = 13.7 +- 0.05 (J/kappa_B) and the critical exponents approx= 0.42 and upsilon apprxo= 0.80 based on the finite-size scaling law. The values of alpha and upsilon are different from those of two-or three-dimensional Ising models, indicating that the phase transition in the Ising polymer chain model belongs to a different universality class. Near T_c, the chain also undergoes a collapse transition from random coil at T > T_c to compacted globule at T < T_c. We conclude that the phase transitions in the Ising polymer chain model result from the cooperative of configurational movement and the ferromagnetic Ising interaction.
机译:我们考虑在简单环晶格上具有最近邻居铁磁伊辛相互作用(J> 0)的自回避聚合物链。磁性和构象性质是使用蒙特卡罗技术模拟的键涨落模型。在低温下观察到自发磁化。我们根据有限尺寸定标定律估算临界温度T_c = 13.7±0.05(J / kappa_B),临界指数约= 0.42,upsilon apprxo = 0.80。 alpha和upsilon的值与二维或三维Ising模型的值不同,这表明Ising聚合物链模型中的相变属于不同的通用性类别。在T_c附近,链条也经历了从T> T_c处的随机卷曲到T

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