论文标题
在3D ISING模型的粗糙阶段有限尺寸效果
Finite-size effects in the rough phase of the 3d Ising model
论文作者
论文摘要
使用蒙特卡洛模拟，研究了Ising阶段的界面特性的有限尺寸效果，并研究了$ l \ times l \ times l \ times r $ sites的立方晶格。特别是，研究了垂直于l $ \ times $ r的平坦接口的磁化配置文件，在（前）临界温度范围内，$ l $大于$ r $。将所得的$ r $依赖性与标准毛细血管波理论的预测，在高斯近似中以及基于有效的弦乐动作的现场理论相提并论，以$ l $ = $ = $ \ \ infty $。
Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with $L\times L\times R$ sites are studied. In particular, magnetization profiles perpendicular to the flat interface of size L$\times$R are studied, with $L$ being considerably larger than $R$, in the (pre)critical temperature range. The resulting $R$-dependences are compared with predictions of the standard capillary-wave theory, in the Gaussian approximation, and with a field theory based on effective string actions, for $L$=$\infty$.
