Survival probability and position distribution of a run and tumble particle in U(x)=α |x| potential with an absorbing boundary
arxiv(2024)
摘要
We study the late time exponential decay of the survival probability
S_±(t,a|x_0)∼ e^-θ(a)t, of a one-dimensional run and tumble
particle starting from x_00. We find that the decay rate θ(a) of the survival probability
has strong dependence on the location a of the absorbing boundary, which
undergoes a freezing transition at a critical value
a=a_c=(v_0-α)√(v_0^2-α^2)/(2αγ), where v_0>α
is the self-propulsion speed and γ is the tumbling rate of the particle.
For a>a_c, the value of θ(a) increases monotonically from zero, as a
decreases from infinity, till it attains the maximum value θ(a_c) at
a=a_c. For 0更多
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