Your Turn 10C = L, Verify that the function P (x) = A (e−(x-L)ƒ /kBT - 1) vanishes at x = solves the Smoluchowski equation with the potential Vtot (x) = fx, and resembles the curve sketched in Figure 10.12 between 0 and L. (Here A is some positive constant.) Substitute into Equation 10.3 to find that j(1d) (x) is everywhere constant and positive. dP |j (1d) = net number crossing per time == -MD + 1 dx KBT P dUtot dx). (10.3)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Your Turn 10C
= L,
Verify that the function P (x) = A (e−(x-L)ƒ /kBT - 1) vanishes at x =
solves the Smoluchowski equation with the potential Vtot (x) = fx, and
resembles the curve sketched in Figure 10.12 between 0 and L. (Here A is some
positive constant.) Substitute into Equation 10.3 to find that j(1d) (x) is
everywhere constant and positive.
dP
|j (1d) = net number crossing per time
==
-MD
+
1
dx KBT
P
dUtot
dx).
(10.3)
Transcribed Image Text:Your Turn 10C = L, Verify that the function P (x) = A (e−(x-L)ƒ /kBT - 1) vanishes at x = solves the Smoluchowski equation with the potential Vtot (x) = fx, and resembles the curve sketched in Figure 10.12 between 0 and L. (Here A is some positive constant.) Substitute into Equation 10.3 to find that j(1d) (x) is everywhere constant and positive. dP |j (1d) = net number crossing per time == -MD + 1 dx KBT P dUtot dx). (10.3)
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