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Physics / An Introduction to Thermal Physics 1 / Chapter 6 / Problem 1P

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

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Consider a system of two Einstein solids, where the first

Chapter 6, Problem 1P

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QUESTION:

Problem 1P

Consider a system of two Einstein solids, where the first “solid” contains just a single oscillator, while the second solid contains 100 oscillators. The total number of energy units in the combined system is fixed at 500. Use a computer to make a table of the multiplicity of the combined system, for each possible value of the energy of the first solid from 0 units to 20. Make a graph of the total multiplicity vs. the energy of the first solid, and discuss, in some detail, whether the shape of the graph is what you would expect. Also plot the logarithm of the total multiplicity, and discuss the shape of this graph.

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QUESTION:

Problem 1P

Consider a system of two Einstein solids, where the first “solid” contains just a single oscillator, while the second solid contains 100 oscillators. The total number of energy units in the combined system is fixed at 500. Use a computer to make a table of the multiplicity of the combined system, for each possible value of the energy of the first solid from 0 units to 20. Make a graph of the total multiplicity vs. the energy of the first solid, and discuss, in some detail, whether the shape of the graph is what you would expect. Also plot the logarithm of the total multiplicity, and discuss the shape of this graph.

ANSWER:

Step 1 of 3

To make the table and graphs consider and and added a column for the logarithm of the total multiplicity. Here are the first few rows of the spreadsheet:

	Two Einstein solids
		=100

0	1	500
1	1	499
2	1	498
3	1	497
4	1	496

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