论文标题
自动化学种群的异常集体动态
Anomalous Collective Dynamics of Auto-Chemotactic Populations
论文作者
论文摘要
虽然对局部相互作用在非平衡期过渡中的作用进行了充分的研究，但缺乏对远程相互作用的影响的基本理解。我们研究繁殖代理的关键动态，但要经过自动相互作用和有限的资源。重新归一化的组分析揭示了快速（有吸引力或排斥性）相互作用的独特缩放制度；对于缓慢的信号转导，动力学以扩散固定点为主。此外，我们提出了对凯勒 - 塞格非线性的校正，该非线性接近灭绝阈值和一种新型的非线性机制，该机制稳定了由于趋化性崩溃而导致特征长度尺度出现的连续过渡。
While the role of local interactions in nonequilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. We study the critical dynamics of reproducing agents subject to autochemotactic interactions and limited resources. A renormalization group analysis reveals distinct scaling regimes for fast (attractive or repulsive) interactions; for slow signal transduction, the dynamics is dominated by a diffusive fixed point. Furthermore, we present a correction to the Keller-Segel nonlinearity emerging close to the extinction threshold and a novel nonlinear mechanism that stabilizes the continuous transition against the emergence of a characteristic length scale due to a chemotactic collapse.
