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{"ops":[{"insert":"Statistical physics I (chapter 3)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Consider a system  which consists of two subsystems A and A\u2019 which can interact to a small extent and thus exchange energy with each other. System A consists three spins, each having a magnetic moment . System A\u2019 consists of two spins , each having a magnetic moment 2 . Suppose that, when the systems A and A\u2019 are initially separated from each other, measurements show the total magnetic moment of A to be  and the total magnetic moment of A\u2019 to be . The systems are now placed in thermal contact with each other and are allowed to exchange energy until the final equilibrium situation has been reached. Under these conditions calculate:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"The probability p(M) that the total magnetic moment of A assumes any one of its possible values M."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"The mean value  of the total magnetic moment of A."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Suppose that the systems are now again separated so that they are no longer free to exchange energy with each other. What are the values of p(M) and  of the system A after this separation?"},{"insert":"\n"}]}

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