AI 中文总结
本研究利用洛伦兹互易定理求解不同活性与半径的扩散泳捕食者-猎物粒子相对运动，揭示四种相互作用状态，并通过三维模拟验证，区分近远场作用获得状态转变曲线。
AI 中文摘要
我们提出了一个通用解，用于描述两个具有任意化学活性Ai和半径Ri的扩散泳捕食者-猎物粒子的相对运动，其中i=1；2分别指捕食者和猎物。利用洛伦兹互易定理，我们研究了半径比和化学反应速率对粒子间相互作用的影响。我们的研究揭示了四种不同的相互作用状态，与Nasouri和Ramin（Phys. Rev. Lett., vol. 124, 2020, pp. 168003）对相同尺寸粒子的发现类似：（i）猎物粒子逃逸；（ii）两个粒子达到稳定平衡距离；（iii）两个粒子达到不稳定平衡距离，在该距离以下猎物被捕获，以上则逃逸；（iv）猎物粒子被捕获。与先前工作不同，我们区分了近场和远场相互作用的区域，这些相互作用可以是吸引或排斥的，并发现（i，iii）与（ii，iv）之间的边界代表了远场中从吸引到排斥的转变，由|A1/A2|=(R2/R1)^2给出，而（i，ii）与（iii，iv）之间的转变则代表了粒子近距离接触时的相互作用转变。我们还进行了捕食者-猎物系统的三维模拟，验证了我们的理论预测。我们的研究将洛伦兹互易定理的适用性扩展到捕食者-猎物系统，并通过区分近场和远场相互作用定量获得了相互作用状态转变曲线。
英文摘要
We present a generic solution for the relative motion of two diffusiophoretic prey-predator particles of arbitrary chemical activity Ai and radius Ri, where i = 1;2 refers to the predator and prey, respectively. Using the Lorentz reciprocal theorem, we investigate the impact of radius ratios and chemical reaction rates on the interaction between the particles. Our study reveals four distinct regimes of interaction, similar to the findings of Nasouri & Ramin (Phys. Rev. Lett., vol. 124, 2020, pp. 168003) for particles of identical sizes: (i) the prey particle escapes; (ii) two particles reach a stable equilibrium distance; (iii) two particles reach an unstable equilibrium distance where the prey is captured below it and escapes above it; (iv) the prey particle is captured. Unlike previous work, we differentiate between regimes with near-field and far-field interactions, which can be either attractive or repulsive, and find that the boundary between (i, iii) and (ii, iv) represents the transition from the attraction to repulsion in the far field, given by jA1=A2j = (R2=R1)2, while the transition between (i, ii) and (iii, iv) represents the interaction transition for particles in close proximity. We also perform three-dimensional simulations of prey-predator systems, which validate our theoretical predictions. Our study extends the applicability of the Lorentz reciprocal theorem to prey-predator system and quantitatively obtains interaction regime transition curves by distinguishing near-field and far-field interactions.
CommentsWithdrawn pending further revision and discussion among the authors
