生物细胞极化激发的竞争相互作用模型中的自调谐相分离
Self tuning phase separation in a model with competing interactions inspired by biological cell polarization
摘要：
本文研究了在均匀外磁场作用下，短程铁磁吸引力与长程反铁磁排斥力相互竞争的系统。在足够低的温度下，这些相互作用之间的相互作用导致磁化强度的自调谐到触发相共存的值，即使在存在外部场的情况下。使用Ginzburg-Landau泛函在无穷多个序参量分量的极限下（大$N$模型）对这种现象进行了研究。该模型的标量版本预计将描述相分离发生在细胞表面上时，这是沉浸在一个统一的浓度的化学刺激剂。相图作为外磁场和长程排斥强度的函数。在相图的不同区域，研究了弛豫过程中的序参量和结构因子随时间的演化。
英文摘要：
We present a theoretical study of a system with competing short-range ferromagnetic attraction and a long-range anti-ferromagnetic repulsion, in the presence of a uniform external magnetic field. The interplay between these interactions, at sufficiently low temperature, leads to the self-tuning of the magnetization to a value which triggers phase coexistence, even in the presence of the external field. The investigation of this phenomenon is performed using a Ginzburg-Landau functional in the limit of an infinite number of order parameter components (large $N$ model). The scalar version of the model is expected to describe the phase separation taking place on a cell surface when this is immersed in a uniform concentration of chemical stimulant. A phase diagram is obtained as function of the external field and the intensity of the long-range repulsion. The time evolution of order parameter and of the structure factor in a relaxation process are studied in different regions of the phase diagram.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
