![Consider two Einstein solids A and B, consisting of NA and NB oscillators (NA NB), that share a total of q units of energy between them (ga + qB = q), write an expression for the multiplicity of the entire interactive system as a function of qA AB (ga) At what value ofqA will the multiplicity ΩAB (ga) be a maximum? [Determine by setting the derivative of ΩABGA) with respect to qA equal to zero.]](http://img.homeworklib.com/questions/0255ecb0-c91d-11ea-92d8-4357546bf911.png?x-oss-process=image/resize,w_560)
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Consider two Einstein solids A and B, consisting of NA and NB oscillators (NA NB), that...
1. Consider a system of two Einstein solids, A and B, each containing 4 oscillators, sharing...
1. Consider a system of two Einstein solids, A and B, each containing 4 oscillators, sharing a total of 4 units of energy. Assume that the solids are weakly coupled, and that the total energy is fixed. a. How many different macrostates are available to this system? b. How many different microstates are available to this system? c. Assuming that this system is in thermal equilibrium, what is the probability of finding all the energy in solid A? d. What...
1. Consider a system of two Einstein solids, A and B, each containing 10 oscillators, sharing...
1. Consider a system of two Einstein solids, A and B, each containing 10 oscillators, sharing a total of 20 units of energy. Assume that the solids are in thermal contact (and can, therefore, exchange energy units) and that the total energy is fixed. How many different macrostates are available to this system? a. b. How many different microstates are available to this system? Assuming that this system is in thermal equilibrium, what is the probability of finding all the...
Consider two Einstein solids A and B that can exchange energy (but not oscillators/particles) wit...
Using matlab, evaluate the following system:Consider two Einstein solids \(A\) and \(B\) that can exchange energy (but not oscillators/particles) with one another but the combined composite system is isolated from the surroundings. Suppose systems \(A\) and \(B\) have \(N_{A}\) and \(N_{B}\) oscillators, and \(q_{A}\) and \(q_{B}\) units of energy respectively. The total number of microstates for this macrostate for the macrostate \(N_{A}, N_{B}, q, q_{A}\) is given by$$ \Omega\left(N_{A}, N_{B}, q, q_{A}\right)=\Omega\left(N_{A}, q_{A}\right) \Omega\left(N_{B}, q_{B}\right) $$where$$ \Omega\left(N_{i}, q_{i}\right)=\frac{\left(q_{i}+N_{i}-1\right) !}{q_{i} !\left(N_{i}-1\right)...
Lecture notes for reference: 2 Subsidies in Strategic Trade Policy This question asks you to show...
Lecture notes for reference:
2 Subsidies in Strategic Trade Policy This question asks you to show that the optimal unilateral subsidy in the strategic trade policy setting is always positive. We will take the example of Boeing and Airbus used in lecture, with all the same parameters. 1. The E.U. government's objective is to maximize domestic profits less the cost of the subsidy. Write down the E.U.'s maximization problem as a function of the chosen quantities of Airbus and Boeing,...
1. Consider a system of two Einstein solids, A and B, each containing 10 oscillators, sharing a total of 20 units of energy. Assume that the solids are in thermal contact (and can, therefore, exchange energy units) and that the total energy is fixed. How many different macrostates are available to this system? a. b. How many different microstates are available to this system? Assuming that this system is in thermal equilibrium, what is the probability of finding all the...
Using matlab, evaluate the following system:Consider two Einstein solids \(A\) and \(B\) that can exchange energy (but not oscillators/particles) with one another but the combined composite system is isolated from the surroundings. Suppose systems \(A\) and \(B\) have \(N_{A}\) and \(N_{B}\) oscillators, and \(q_{A}\) and \(q_{B}\) units of energy respectively. The total number of microstates for this macrostate for the macrostate \(N_{A}, N_{B}, q, q_{A}\) is given by$$ \Omega\left(N_{A}, N_{B}, q, q_{A}\right)=\Omega\left(N_{A}, q_{A}\right) \Omega\left(N_{B}, q_{B}\right) $$where$$ \Omega\left(N_{i}, q_{i}\right)=\frac{\left(q_{i}+N_{i}-1\right) !}{q_{i} !\left(N_{i}-1\right)...
Lecture notes for reference:
2 Subsidies in Strategic Trade Policy This question asks you to show that the optimal unilateral subsidy in the strategic trade policy setting is always positive. We will take the example of Boeing and Airbus used in lecture, with all the same parameters. 1. The E.U. government's objective is to maximize domestic profits less the cost of the subsidy. Write down the E.U.'s maximization problem as a function of the chosen quantities of Airbus and Boeing,...
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