Question: In the notation of Section 15.3, show that for a Brownian particle [ langleboldsymbol{v}(t) cdot boldsymbol{F}(t)angle=3 k T / tau, quad text { while }langleboldsymbol{v}(t)
In the notation of Section 15.3, show that for a Brownian particle
\[
\langle\boldsymbol{v}(t) \cdot \boldsymbol{F}(t)angle=3 k T / \tau, \quad \text { while }\langle\boldsymbol{v}(t) \cdot \mathcal{F}(t)angle=0
\]
On the other hand,
\[
\langle\boldsymbol{r}(t) \cdot \mathcal{F}(t)angle=-3 k T, \quad \text { while }\langle\boldsymbol{r}(t) \cdot \boldsymbol{F}(t)angle=0 .
\]
Step by Step Solution
★★★★★
3.45 Rating (161 Votes )
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
By eqn 1532 we have langlemathbfv cdot mathbfFangleMleftlanglemathbfv cdot fracd mathbfvd t ightangl... View full answer
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help