**4. Kittel Ch3-4. Energy fluctuations.** Consider a system of fixed volume in thermal contact with a reservoir. Show that the mean square fluctuation in the energy of the system is \[\langle (\varepsilon - \langle \varepsilon \rangle)^2 \rangle = \tau^2 \left( \partial U / \partial \tau \right)_V\](89)Here, \( U \) is the conventional symbol for \( \langle \varepsilon \rangle \). *Hint:* Use the partition function \( Z \) to relate \( \partial U / \partial \tau \) to the mean square fluctuation. Also, multiply out the term \( (..)^2 \).

4. Kittel Ch3-4. Energy fluctuations. Consider a system of fixed volume in thermal contact with a reservoir. Show that the mean square fluctuation in the energy of the system is ((x − (e))²) = t² (JU /ƏT), Here U is the conventional symbol for (e). Hint: Use the partition function Z to relate U/ar to the mean square fluctuation. Also, multiply out the term (...)². (89)

4. Kittel Ch3-4. Energy fluctuations. Consider a system of fixed volume in thermal contact with a reservoir. Show that the mean square fluctuation in the energy of the system is ((x − (e))²) = t² (JU /ƏT), Here U is the conventional symbol for (e). Hint: Use the partition function Z to relate U/ar to the mean square fluctuation. Also, multiply out the term (...)². (89)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

This is a question from my problem sheet with the answers. i dont understand how to answer this question. Please use this book for the values: Thermodynamic and Transport Properties of Fluids by Rogersand Mayhew.
Give me right solution
Solve it, for my review
For the following water liquid level system, 9mi(t) is the mass flow rate input deviation to the system and the restrictions can be considered linear resistances about the equilibrium: 9mi h2 Ro R1 a) Using basic fluids principles, develop the Dynamic Equations for the deviation of the two liquid level heights from their equilibrium height as a function of the input mass flow rate, Imi-
Q3/ Answer the following questions: 1. How a system can be enabled to do work? 2. Briefly describe how a room can be heated by a fireplace. 3. Show the relationship between surface tension and temperature. 4. What is the difference between the continuity equation and Bernoulli's equation? 5. What is the type of the wave if the particles of a medium are vibrating at right angles to the direction of energy transport?
20 moles of a Van der Waals gas that initially occupies a volume V1=1.1 L at a temperature T1=285 K undergoes a cycle A-B-C-A as shown schematically in the figure. Part A-B of the cycle is done at constant temperature. The volume at point B is 1.6 times larger than it is at point A. How much work is done by the gas in this cycle if the parameters of the Van der Waals gas are a=25 L2*kPa/mol2 and b=0.027 L/mol?
(a) For a circular piston, plot the on-axis pressure amplitude as a function of scaled distance r/a for several values of ka between 3 and 12. (b) Plot the range beyond which the pressure amplitude is within 10% of the asymptotic form (7.4.7). (c) For a piston of 20 cm radius operating at 4 kHz in water, find the distance corresponding to (b).
the title of the book: Engineering Thermofluids Thermodynamics, Fluid Mechanics, and Heat Transfer by: Mahmoud Massoud
A 5-kg object is acted upon by a horizontal force P=18t [N], where t is time in seconds. The coefficient of kinetic friction is µk = 0.15. At t = 2 s, the object's velocity is 10 m/s. Determine the velocity at t = 4 s. Use the Impulse-Momentum method. Provide the free-body diagram and show all work. P
Answer it correctly please. State proper reason. I will rate accordingly.
Help me
An perfect gas of a specific composition Molar weight is 25 grams per mole and specific heat is 3 grams per mole. Y is initially at 200kPa and 2m3 in volume. Heat transmission resulted in a twofold increase in volume. Calculate how much heat was transferred if it was subjected to a process defined by 'n=1', "n=Cp/Cv," or "n=2."