Partially Annealed Disorder and Collapse of Like-Charged Macroions
Partially Annealed Disorder and Collapse of Like-Charged Macroions
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DOI：
10.1007/s10955-008-9635-7
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发表时间：
2007-12
影响因子：
1.6
通讯作者：
Y. Mamasakhlisov;A. Naji;R. Podgornik
中科院分区：
文献类型：
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作者：
Y. Mamasakhlisov;A. Naji;R. Podgornik
用场论和复型方法研究了部分退火电荷无序的带电系统。电荷紊乱被假定为局限于大离子表面周围的云的移动的中和反离子在水溶剂中。通过假设无序是部分退火的（包括纯退火和纯猝灭无序作为特殊情况），即，我们一般假设，相对于快速弛豫的抗衡离子，无序经历缓慢的动力学，从而使得可以使用与平衡统计力学中可用的方法类似的方法来研究系统的定态性质。通过专注于两个平面的平均表面电荷和无序方差相等的具体情况下，它示出，淬火无序的部分退火导致平均表面电荷密度的重整化，从而减少板间排斥的平均场或弱耦合水平。在强耦合极限下，电荷无序引起长程吸引，导致两个表面在无序方差超过阈值时发生连续的无序驱动的塌缩转变。无序退火进一步增强了吸引力，并在低屏蔽的限制下，导致系统中的全局吸引不稳定性。
Charged systems with partially annealed charge disorder are investigated using field-theoretic and replica methods. Charge disorder is assumed to be confined to macroion surfaces surrounded by a cloud of mobile neutralizing counterions in an aqueous solvent. A general formalism is developed by assuming that the disorder is partially annealed (with purely annealed and purely quenched disorder included as special cases),i.e., we assume in general that the disorder undergoes a slow dynamics relative to fast-relaxing counterions making it possible thus to study the stationary-state properties of the system using methods similar to those available in equilibrium statistical mechanics. By focusing on the specific case of two planar surfaces of equal mean surface charge and disorder variance, it is shown that partial annealing of the quenched disorder leads to renormalization of the mean surface charge density and thus a reduction of the inter-plate repulsion on the mean-field or weak-coupling level. In the strong-coupling limit, charge disorder induces a long-range attraction resulting in a continuous disorder-driven collapse transition for the two surfaces as the disorder variance exceeds a threshold value. Disorder annealing further enhances the attraction and, in the limit of low screening, leads to a global attractive instability in the system.