Malakar Kanaya, Das Arghya, Kundu Anupam, Kumar K Vijay, Dhar Abhishek
Presidency University, Kolkata 700073, India.
Martin A. Fisher School of Physics, Brandeis University, Waltham, Massachusetts 02453, USA.
Phys Rev E. 2020 Feb;101(2-1):022610. doi: 10.1103/PhysRevE.101.022610.
We find an exact series solution for the steady-state probability distribution of a harmonically trapped active Brownian particle in two dimensions in the presence of translational diffusion. This series solution allows us to efficiently explore the behavior of the system in different parameter regimes. Identifying "active" and "passive" regimes, we predict a surprising re-entrant active-to-passive transition with increasing trap stiffness. Our numerical simulations validate this finding. We discuss various interesting limiting cases wherein closed-form expressions for the distributions can be obtained.
我们找到了在存在平动扩散的情况下，二维中受简谐势阱束缚的活性布朗粒子稳态概率分布的精确级数解。该级数解使我们能够有效地探究系统在不同参数区域的行为。通过识别“活性”和“被动”区域，我们预测随着势阱刚度增加会出现令人惊讶的从活性到被动的折返转变。我们的数值模拟验证了这一发现。我们讨论了各种有趣的极限情况，在这些情况下可以得到分布的封闭形式表达式。
