流体力学中极差项的一致实现
Consistent Implementation of Finite-Range Terms into Hydrodynamics
摘要：
非零程相互作用经常通过梯度项被纳入平均场论。在这里，一个形式主义的发展，将这些条款纳入流体力学。这些项改变了熵、化学势、温度和应力-能量张量的表达式。形式主义尊重局部能量守恒，电荷和熵。形式主义导致静态解决方案的温度，化学势和流体动力学加速度都消失，即使密度分布可能是不均匀的。的相边界和关联函数的配置文件进行计算，以说明各种热力学量的梯度修改。此外，对于添加热噪声以产生所需强度的密度-密度相关性的流体动力学计算，导出额外的噪声项，使得在平衡时，产生具有正确尺寸和长度尺度的相关性。
英文摘要：
Non-zero-range interactions are often incorporated into mean field theories through gradient terms. Here, a formalism is developed to incorporate such terms into hydrodynamics. These terms alter expressions for the entropy, chemical potential, temperature and the stress-energy tensor. The formalism respects local conservation of energy, charge and entropy. The formalism leads to static solutions where the temperature, chemical potential and hydrodynamic acceleration all vanish, even when the density profile might be non-uniform. Profiles for a phase boundary and for correlation functions are calculated to illustrate the gradient modifications for various thermodynamic quantities. Also, for hydrodynamic calculations that add thermal noise to generate density-density correlations of the desired strength, an additional noise term is derived so that, at equilibrium, correlations are generated with both the correct size and length scale.
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