Consider the one-dimensional Ising model described in Example 16.2. a) What is the average as a...

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Consider the one-dimensional Ising model described in Example 16.2. a) What is the average &#160;as a function of temperature? Hint: what is the relation of this quantity to (E)? b) As T = 0, how many ways are there for the energy to approach its ground state energy? c) Find an expression for the heat capacity. What is its behavior at both &#1846;&#8594;0 and &#1846;&#8594;&#8734;? Explain. d) Find a temperature where the heat capacity is a maximum. What is the physical basis for this temperature? &#160; &#160; &#160;

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a) Average Magnetization as a Function of Temperature The average magnetization, denoted as , is a measure of the average alignment of the spins in the Ising model. It can be calculated using the relation: = (1/Z) * ?(M * exp(-E/kT)) where Z is the partition function, M is the magnetization, E is the energy, k is the Boltzmann constant, and T is the temperature. The relation of the average magnetization to the energy can...

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