Consider the equation of motion of a Brownian particle w
Question and Solution
Consider the equation of motion of a Brownian particle with inertia term included: m d2x dt2 = ?? dx dt + Fr(t) + F (e)(
84 % (341 Review)
Consider the equation of motion of a Brownian particle with inertia term included: m d2x dt2 = ?? dx dt + Fr(t) + F (e)(t) (6.94) where Fr(t) and F (e)(t) are the random force and the external force. Answer the following questions. (a) Calculate the mean displacement of the particle x(t) ? x(0) F (e) when the external force is applied in a step-wise fashion at time t = 0, i.e., F (e)(t) = F (e)?(t). (b) Using the generalized Einstein relation, calculate the mean square displacement of the particle (x(t) ? x(0))2 eq,0. (c) Calculate the velocity correlation function x?(t) ? x(0) eq,0 at equilibrium, and confirm that it agrees with eq. (6.29).
Your answer will be ready within 2-4 hrs. Meanwhile, check out other millions of Q&As and Solutions Manual we have in our catalog.
Get immediate access to 24/7 Homework Help, step-by-step solutions, instant homework answer to over 40 million Textbook solution and Q/A
Pay $7.00/month for Better Grades
Crazy for Study is a platform for the provision of academic help. It functions with the help of a team of ingenious subject matter experts and academic writers who provide textbook solutions to all your course-specific textbook problems, provide help with your assignments and solve all your academic queries in the minimum possible time.
Disclaimer: Crazy For Study provides academic assistance to students so that they can complete their college assignments and projects on time. We strictly do not deliver the reference papers. This is just to make you understand and used for the analysis and reference purposes only.