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  • Pregunta: I write the text in English but for some reason, when I write the equations and then post it, they don't show up, that's why I put the original text in Spanish so you can see the equations. Consider a model of N localized magnetic ions with Hamiltonian given by , where can take the values of −1, 0, 1 for all location sites. Hint: a) Calculate b)

    I write the text in English but for some reason, when I write the equations and then post it, they don't show up, that's why I put the original text in Spanish so you can see the equations.

    Consider a model of N localized magnetic ions with Hamiltonian given by , where can take the values of −1, 0, 1 for all location sites. Hint:

    a) Calculate

    b) Calculate

    c) Calculate the specific heat and graph it.

    d) Find an expression for the entropy per particle as a functionof temperature, . Hint: In the expression in part b) divide each thermodynamic variable among N, calculate the energy as a function of the temperature and use the results to write

    e) Analyze the limit for the expression in the previous section.

    student submitted image, transcription available below

    I PUT THE TEXT IN ENGLISH AND THEN IN SPANISH BECAUSE I CAN'T WRITE THE EQUATIONS AND ITS A PROBLEM WITH CHEGG, NOT MINE. SO PLEASE SEE THE TEXT IN ENGLISH AND THEN THE SPANISH PHOTO FOR THE EQUATIONS!!!! IS NOT UNDERSTANDABLE? IT'S THE SAME QUESTION, ONE IN SPANISH AND THE OTHER IN ENGLISH. THE ENGLIS I WRITE ITS INCOMPLETE BECAUSE THE EQUATIONS DONT SHOW UP, THAT'S WHY I PUT THE ORIGINAL QUESTION IN SPANISH SO YOU CAN SEE THE EQUATIONS.

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Texto de la transcripción de la imagen:
1. Considera un modelo de N iones magnéticos localizados con Hamiltoniano S; puede tomar los valores de -1, 0, 1 para todos los sitios de localización. Hint: N = N-1 + No + N+1. dado por H=DENS, a) Calcula tot (E, N) b) Calcula S(E, N). c) Calcula el calor específico CN y grafícalo. d) Encuentra una expresión para la entropía por partícula como función de la temperatura, s(T). Hint: En la expresión del inciso b) divide cada variable termodinámica entre N, calcula la energía en función de la temperatura y utiliza los resultados para escribir s(T). e) Analiza el límite T→∞ para la expresión del inciso anterior.