Solutions1

Solutions1 - PHYS 333 Winter 2009 Assignment 1 1. In...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PHYS 333 Winter 2009 Assignment 1 1. In Chapter 1 of Schroeders book, he talks about raindrops falling on a roof. He uses this example to introduce the thermodynamic limit when fluctuations are extremely small. Divide up the roof into NB equal parts ( NB = 100 would be suitable) Generate a random number between 0 and 1, and use it to allocate a raindrop randomly to one of the parts. Repeat N times Repeat again for larger values of N ( N = 1000000 would be a suitable upper limit) (a) For each value of N , compute the average number of raindrops per part of the roof, N Av and the standard deviation ( N Av ) of this number. (b) Plot the standard deviation against N Av to discover the functional dependence ( N Av ). What is this? Here is the graph that I generated. The line, on this log-log plot, has a slope of 1/2, and corresponds to = N av . 10 +1 10 +2 10 +3 10 +4 10 +5 10 +6 10 +7 10.0 100.0 1000. 20. 200. 2000. 5. 50. 500. average number of raindrops standard deviation (c) Optional. If you have the math knowledge, show how this dependence comes about....
View Full Document

This note was uploaded on 04/11/2010 for the course PHYS 333 taught by Professor Harris during the Winter '09 term at McGill.

Page1 / 5

Solutions1 - PHYS 333 Winter 2009 Assignment 1 1. In...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online