摘要翻译：
研究了缔合格子气(ALG)模型的热力学性质和动力学性质之间的关系。ALG将三维晶格气体与粒子通过软核势和取向自由度相互作用结合起来。从定向引力和软核势的竞争中，可以得到两个液相，双重临界和密度异常。我们通过计算在恒温下的扩散常数D$来研究该模型中分子的迁移率。我们证明$D$在密度$\rho_{max}$处有一个最大值，在密度$\rho_{min}<\rho_{max}$处有一个最小值。在这些密度之间，扩散率不同于正常液体所期望的扩散率。在压力-温度相图中，扩散率极值线接近液-液临界点，部分位于最大密度温度线(TMD)内。
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英文标题：
《Diffusion Anomaly in a three dimensional lattice gas》
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作者：
Mauricio Girardi, Marcia Szortyka and Marcia C. Barbosa
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We investigate the relation between thermodynamic and dynamic properties of an associating lattice gas (ALG) model. The ALG combines a three dimensional lattice gas with particles interacting through a soft core potential and orientational degrees of freedom. From the competition between the directional attractive forces and the soft core potential results two liquid phases, double criticality and density anomaly. We study the mobility of the molecules in this model by calculating the diffusion constant at a constant temperature, $D$. We show that $D$ has a maximum at a density $\rho_{max}$ and a minimum at a density $\rho_{min}<\rho_{max}$. Between these densities the diffusivity differs from the one expected for normal liquids. We also show that in the pressure-temperature phase-diagram the line of extrema in diffusivity is close to the liquid-liquid critical point and it is partially inside the temperature of maximum density (TMD) line.
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PDF链接：
https://arxiv.org/pdf/704.3762