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Unformatted text preview: PHYS 258 - Thermal Physics: Assignment 6 Due Monday February 28 Student ID: Full Name: Score:____________/11_____ 1. [4.5] Interacting Einstein Solids. Consider a system of two Einstein solids, A and B , in which solid A contains 200 oscillators and solid B contains 100 oscillators. Assume the system is isolated, and contains a total of 100 units of energy. a)  Plot a bar graph of multiplicity ( Ω AB ) versus q A . Calculations and plotting can be done in Excel (b)  What is the most probable macropartition, and what is its probability? the most probable macropartition: q A =67, q B =33, with Ω AB (67,33)=1.22996E+95, total number of microstates Ω (all)=sum( Ω AB )= 1.68139E+96 => P(67,33)= Ω AB (67,33)/ Ω (all)=7.3% What is the least probable macropartition, and what is its probability? the least probable macropartition: q A =0, q B =100, with Ω AB (0,100)= 4.52743E+58, P(0,100)= Ω AB (0,100)/ Ω (all)= 2.7E-38 What is the ratio of these two probabilities? P(0,100)/ P(67,33)= 3.7E-37 P(0,100)/ P(67,33)= 3....
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This note was uploaded on 06/11/2011 for the course PHYS 258 taught by Professor Yurileonenko during the Winter '11 term at Waterloo.
- Winter '11