Question

Suppose a diffusing particle is in a one-dimensional tube, with the left boundary closed, and the right boundary open. Find the average escape time of the particle starting at x (through the open boundary) . the average escape time t( x ) is found by solving the equation. ∫t" (x) =－1/d t'(0) =0 t ( l ) =0 where d is the constant of the particle.

Answer 1

To find the average escape time of a diffusing particle in a one-dimensional tube, solve the given differential equation with the specified boundary conditions.

Step-by-step explanation:

To find the average escape time of a diffusing particle in a one-dimensional tube with a closed left boundary and an open right boundary, we need to solve the differential equation ∫t"(x) = -1/d using the given boundary conditions t'(0) = 0 and t(l) = 0. This equation represents the diffusion process of the particle. By solving this equation, we can obtain the average escape time t(x).