Sivaram Abhishek, Venkatasubramanian Venkat
Department of Chemical and Biochemical Engineering, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark.
Complex Resilient Intelligent Systems Laboratory, Department of Chemical Engineering, Columbia University, New York, NY 10027, USA.
Entropy (Basel). 2023 Jul 11;25(7):1043. doi: 10.3390/e25071043.
The physics of active biological matter, such as bacterial colonies and bird flocks, exhibiting interesting self-organizing dynamical behavior has gained considerable importance in recent years. Current theoretical advances use techniques from hydrodynamics, kinetic theory, and non-equilibrium statistical physics. However, for biological agents, these approaches do not seem to recognize explicitly their critical feature: namely, the role of survival-driven and the attendant pursuit of Here, we propose a game-theoretic framework, statistical teleodynamics, that demonstrates that the bird-like agents self-organize dynamically into flocks to approach a of equal effective utilities. This is essentially the mechanism of Adam Smith's in an ecological context. What we demonstrate is for ideal systems, similar to the ideal gas or Ising model in thermodynamics. The next steps would involve examining and learning how real swarms behave compared to their ideal versions. Our theory is not limited to just birds flocking but can be adapted for the self-organizing dynamics of other active matter systems.
诸如细菌菌落和鸟群等表现出有趣的自组织动力学行为的活性生物物质的物理学，近年来已变得相当重要。当前的理论进展使用了流体动力学、动力学理论和非平衡统计物理学的技术。然而，对于生物主体而言，这些方法似乎并未明确认识到它们的关键特征：即生存驱动的作用以及随之而来的对……的追求。在此，我们提出一个博弈论框架，统计目的动力学，它表明类似鸟的主体会动态地自组织成群，以趋近具有相等有效效用的一种……。这本质上是亚当·斯密的机制在生态背景下的体现。我们所展示的是针对理想系统，类似于热力学中的理想气体或伊辛模型。接下来的步骤将涉及研究和了解与理想版本相比真实群体的行为方式。我们的理论不仅限于鸟类成群，还可适用于其他活性物质系统的自组织动力学。
