Brownian motion is the motion of a particle, such as a smoke or dust particle, in...
Fantastic news! We've Found the answer you've been seeking!
Question:
![Brownian motion is the motion of a particle, such as a smoke or dust particle, in a gas, as it is buffeted by](https://dsd5zvtm8ll6.cloudfront.net/questions/2023/12/658c374972b1e_1703777969407.jpg)
Transcribed Image Text:
Brownian motion is the motion of a particle, such as a smoke or dust particle, in a gas, as it is buffeted by random collisions with gas molecules. Make a simple computer simulation of such a particle in two dimensions as follows. The particle is confined to a square grid or lattice L x L squares on a side, so that its position can be represented by two integers i, j = 0... L 1. It starts in the middle of the grid. In each step of the simulation, choose a random direction---up, down, left, or right---and move the particle one step in that direction. This process is called a random walk. The particle is not allowed to move outside the limits of the lattice---if it tries to do so, choose a new random direction to move in. (We choose an odd length for the side of the square so that there is one lattice site exactly in the center.) Write a program to perform a million steps of this process on a lattice with L = 101. Plot the position of the particle for different numbers of steps (100, 1000, 10000, 100000). Brownian motion is the motion of a particle, such as a smoke or dust particle, in a gas, as it is buffeted by random collisions with gas molecules. Make a simple computer simulation of such a particle in two dimensions as follows. The particle is confined to a square grid or lattice L x L squares on a side, so that its position can be represented by two integers i, j = 0... L 1. It starts in the middle of the grid. In each step of the simulation, choose a random direction---up, down, left, or right---and move the particle one step in that direction. This process is called a random walk. The particle is not allowed to move outside the limits of the lattice---if it tries to do so, choose a new random direction to move in. (We choose an odd length for the side of the square so that there is one lattice site exactly in the center.) Write a program to perform a million steps of this process on a lattice with L = 101. Plot the position of the particle for different numbers of steps (100, 1000, 10000, 100000).
Expert Answer:
Answer rating: 100% (QA)
Creating a computer simulation of a Brownian motion in 2D involves generating random steps in differ... View the full answer
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
Students also viewed these programming questions
-
A signal x[n] is periodic with period No = 6. Some selected values of x[n] are x[0] 3. x[-1] 1, x[-4]=-2, x[-8]=-2.x[3]=2.x[7]=-1, x[10]=-2, and x[-3] = 2. What is the average signal power of the...
-
Explain briefly one theme that you see Alexie exploring in this story. Quote from the story to support your ideas. By Sherman Alexie April 21, 2003 NOON One day you have a home and the next you...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
1. A drying process is used to remove 3000 lbm/h of water (vapor) at steady-state from processed paper. The dryer first heats atmospheric air (state 1) at 80F, 1 atm and 60% relative humidity to 250F...
-
Medicares new medical plans offer a wide range of variations and choices for seniors when picking a drug plan (San Luis Obispo Tribune, November 25, 2005). The monthly cost for a stand-alone drug...
-
On July 1, 2017, Dexter Corp. buys a computer system for $260,000 in cash. Assume that the computer is expected to have a four-year life and an estimated salvage value of $20,000 at the end of that...
-
Have I investigated which style of clothing (such as business formal versus business casual) would be preferred by HR and the interviewing manager? LO.1
-
Earth Company is a manufacturer of circuit boards. The company?s chief financial officer is trying to verify the accuracy of the ending work-in-process and finished goods inventories prior to closing...
-
Question 4.7 The Big Bang Company was set up by Ed, an Australian resident. It is incorporated in Singapore and has two directors who are resident in Singapore and who hold board meetings in...
-
The Vintage Restaurant is located on Captiva Island, a resort community near Fort Myers, Florida. The restaurant, which is owned and operated by Karen Payne, just completed its third year of...
-
The ethics of public relations require professionals to be _____________ for those for whom they work. Group of answer choices Deflectors Advocates Shields Proselytizers
-
In Exercises 29 and 30, find the probabilities and indicate when the "5% guideline for cumbersome calculations" is used. 29. Medical Helicopters In a study of helicopter usage and patient survival,...
-
Introduction to Internetworking Project 1: Ctrl-Alt-Del Inc. INTRODUCTION You have accepted a contract to participate in the design of the network infrastructure of a company called Ctrl-Alt-Del Inc....
-
Construct Arguments Tell whether each statement is always true, sometimes true, or never true. Explain. a. An integer is a whole number. b. A natural number is a rational number. c. An irrational...
-
Please answer the following Questions : 1. Who are the competitors for Whole Foods? 2. Do you consider traditional supermarkets to be competitors for natural and organic supermarkets? 3. How would...
-
LNC Corp is trying to determine the effect of its inventory turnover ratio and DSO on its cash conversion. Credit sales in 2016 is $101,000, cost of goods sold will be 70% of sales and it earned a...
-
New Retirementality Chapters 14 - 15 1a. Your individual retirement attitude is improved by an income plan that considers emotional and financial needs. True or False? 1b. Creating peace of mind and...
-
A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.88 10-2 kg/s. The density of the gasoline is 735 kg/m3, and the radius of the fuel line is 3.18 10-3 m. What is the...
-
Two point charges, + 5.0μC and 2.0μC, are separated by 5.0 m. What is the electric potential energy? r=5.0m-
-
A friend says that electric current "follows the path of least resistance." Is that true? Explain.
-
Using Faraday's law, show that if a magnetic dipole antenna's axis makes an angle with the magnetic field of an EM wave, the induced emf in the antenna is reduced from its maximum possible value by...
-
Refer to Best Buys statement of changes in stockholders equity in Appendix A. What is the amount of foreign currency translation adjustment for the year ended February 26, 2005? Is this adjustment an...
-
In accounting for investments in equity securities, when should the equity method be used? AppendixLO1
-
Refer to the balance sheet of Circuit City in Appendix A. How can you tell that Circuit City uses the consolidated method of accounting? AppendixLO1
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App