论文标题
部分可观测时空混沌系统的无模型预测
Nonequilibrium relaxation of a trapped particle in a near-critical Gaussian field
论文作者
论文摘要
我们研究了探针粒子的非平衡弛豫动力学，该探针粒子线性耦合到热波动的标量场并受到谐波电位的影响，这为浸入接近其大块临界点的流体中的光学捕获的胶体提供了卡通。最初从机械平衡位置移动的粒子的平均位置显示出长期代数尾巴，因为接近磁场的临界点，其通用指数是在任意空间维度中确定的。正如预期的那样，这种行为不能通过假设快速田间放松的绝热方法来捕获。分析性，扰动方法的预测通过数值模拟定性地证实。
We study the non-equilibrium relaxational dynamics of a probe particle linearly coupled to a thermally fluctuating scalar field and subject to a harmonic potential, which provides a cartoon for an optically trapped colloid immersed in a fluid close to its bulk critical point. The average position of the particle initially displaced from the position of mechanical equilibrium is shown to feature long-time algebraic tails as the critical point of the field is approached, the universal exponents of which are determined in arbitrary spatial dimensions. As expected, this behavior cannot be captured by adiabatic approaches which assume fast field relaxation. The predictions of the analytic, perturbative approach are qualitatively confirmed by numerical simulations.
