arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0902.4643cond-mat.softcond-mat.mtrl-scicond-mat.stat-mech
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软球聚集体的基质酶

Mesophases of soft-sphere aggregates

Homin Shin, Gregory M. Grason, Christian D. Santangelo

摘要:

软球通过硬核和一系列吸引和排斥的“软肩”势相互作用,自组装成形成各种中间相的簇。我们结合平均场论从一个晶格模型与软球聚集体的周期性结构的水平表面分析,研究稳定的形态为所有集群的潜力。我们开发了一个系统的方法,在低温下,强偏析的中间相组装的热力学和预测的相,包括片层,六方柱和体心立方相,以及相关的逆结构的通用序列。我们讨论了有限温度修正强偏析理论的Sommerdan样膨胀,以及这些修正如何影响双连续中间相结构,如螺旋的热力学稳定性。最后,我们探讨了弱分凝粒子的相反极限,并预测了平均场相图中双连续团簇形态的一般稳定性。

英文摘要:

Soft spheres interacting via a hard core and range of attractive and repulsive "soft-shoulder" potentials self-assemble into clusters forming a variety of mesophases. We combine a mean field theory developed from a lattice model with a level surface analysis of the periodic structures of soft-sphere aggregates to study stable morphologies for all clustering potentials. We develop a systematic approach to the thermodynamics of mesophase assembly in the low-temperature, strong-segregation and predict a generic sequence of phases including lamella, hexagonal-columnar and body-center cubic phases, as well as the associated inverse structures. We discuss the finite-temperature corrections to strong segregation theory in terms of Sommerfeld-like expansion and how these corrections affect the thermodynamic stability of bicontinuous mesophase structures, such as gyroid. Finally, we explore the opposite limit of weakly-segregated particles, and predict the generic stability of a bicontinuous cluster morphology within the mean-field phase diagram.

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