论文标题
热力学上一致的相位理论(包括最近的邻居对相关)解释了平均场推理的失败
Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning
论文作者
论文摘要
我们目前对相位分离的大多数理解都是基于无视相关性的思想。在这里,我们阐明了相关性对接口的结构和热力学的意外影响,进而相互分离,这在具有较强相互作用的系统中是决定性的。评估Ising模型在贝特·古登海姆(Bethe-Guggenheim)水平上的连续限制,我们得出了一个考虑到对相关性的cahn-hilliard自由能。对于条形几何形状中的一维界面,这些界面被证明会导致在热能附近和上方的相互作用强度下的有效界面扩展,并在Ising模型中进行了验证。界面扩展是熵驱动的界面定位化的结果,在广泛采用的平均场理论中未考虑。对热力学一致性,对成对相关性是必需的,因为它们在强耦合时执行了缺陷的热力学最佳局部构型,并深刻影响成核和旋律分解。
Most of our current understanding of phase separation is based on ideas that disregard correlaions. Here we illuminate unexpected effects of correlations on the structure and thermodynamics of interfaces and in turn phase separation, which are decisive in systems with strong interactions. Evaluating the continuum limit of the Ising model on the Bethe-Guggenheim level, we derive a Cahn-Hilliard free energy that takes into account pair correlations. For a one-dimensional interface in a strip geometry these are shown to give rise to an effective interface broadening at interaction strengths near and above the thermal energy, which is verified in the Ising model. Interface broadening is the result of an entropy-driven interface delocalization, which is not accounted for in the widely adopted mean field theory. Pair correlations are required for thermodynamic consistency as they enforce a thermodynamically optimal local configuration of defects and profoundly affect nucleation and spinodal decomposition at strong coupling.