Dudka M, Folk R, Moser G
Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, UA-79011 Lviv, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031124. doi: 10.1103/PhysRevE.80.031124. Epub 2009 Sep 17.
Dynamical scaling functions above Tc for the characteristic frequencies and the dynamical correlation functions of the order parameter and the conserved density of model C are calculated in one loop order. By a proper exponentiation procedure these results can be extended in order to consider the changes in these functions using the fixed point values and exponents in two loop order. The dynamical amplitude ratio R of the characteristic frequencies is generalized to the critical region. Surprisingly the decay of the shape functions at large scaled frequency does not behave as expected from applying scaling arguments. The exponent upsilon of the decay does not change when going from the critical to the hydrodynamic region although the shape functions change. The value of upsilon for the order parameter is in agreement with its value in the critical region, whereas for the conserved density it is equal to 2, the value in the hydrodynamic region.
在单圈阶次下计算了模型C高于临界温度Tc时特征频率以及序参量和守恒密度的动力学关联函数的动力学标度函数。通过适当的指数化程序，可以扩展这些结果，以便使用两圈阶次的不动点值和指数来考虑这些函数的变化。特征频率的动力学振幅比R被推广到临界区域。令人惊讶的是，在大标度频率下形状函数的衰减并不像应用标度论证所预期的那样表现。尽管形状函数发生了变化，但从临界区域到流体动力学区域时，衰减指数υ并没有改变。序参量的υ值与其在临界区域的值一致，而对于守恒密度，它等于2，即流体动力学区域中的值。
