Questions & Answers
Accounting
Accounting - Others
Advanced Accounting
Auditing
Cost Accounting
Financial Accounting
Managerial Accounting
Payroll Accounting
Computer Science
Automata or Computationing
Computer Architecture
Computer Graphics and Multimedia Applications
Computer Network Security
Data Structures
Database Management System
Design and Analysis of Algorithms
Information Technology
Linux Environment
Networking
Operating System
Software Engineering
Big Data
Android
iOS
Matlab
Economics
Economics - Others
International Economics
Macro Economics
Micro Economics
Game Theory
Engineering
Chemical Engineering
Civil Engineering
Electrical Engineering
Mechanical Engineering
Finance
Corporate Finance
International Financial Management
Investment
Risk Management
Personal Finance
Behavioral Finance
Thesis
Accounting Thesis
Economics Thesis
Finance Thesis
Management Thesis
Other Thesis Topics
Management
Business Law
Human Resource Management
Management - Others
Managing Information Technology
Marketing Management
Strategic Management
Supply Chain Management / Operations Management
Hospitality Management
Business Ethics
International Business
Business Communications
Project Management
Science/Math
Advanced Mathematics
Biology
Chemistry
Earth Science
Maths
Physics
Statistics
ANOVA
Applied Statistics
Basics of Statistics
Central Tendency
Descriptive Statistics
Hypothesis Testing
Operational Research
Regression
Sampling Theory
Statistics - Others
Stochastic processes
Time Series Analysis
Writing
Academic writing
Admission Services
Capstone
Paper Writing
Dissertations
Accounting Dissertation
Economics Dissertation
Finance Dissertation
Human Resource Management Dissertation
Management Dissertation
Marketing Management Dissertation
Project Management Dissertation
Statistics Dissertation
Essays
Narrative Essay
Scholarship Essay
Admission Essay
Persuasive Essay
Descriptive Essay
Expository Essay
accounting essay
finance essay
economics essay
leadership essay
statistics essay
College Essay
Other Essay Topics
Programming
Java
Python
C/C++
HTML
Ruby
PHP
Javascript
R Programming
.NET/C#
Other Programming Language
Healthcare
Nursing
Healthcare - Others
Law
Tax Law
Intellectual Property Law
Family Law
Criminal Law
Constitutional Law
Civil Litigates
International Law
Labour/Employment Law
Other law
Subscribed Q&A
Experts Q&A
Subscription Details
Courses
Log in | Sign up
Search through millions of homework answers and textbook solutions
Access more than 100K online textbook solutions.
Access Step-by-Step Textbook Solutions
If stuck, Ask Questions to Our Experts ANYTIME
»
Q&A
»
May 2022
»
12
Questions from May 12, 2022
Assume the low frequency modes of a lattice are simple plane waves so that Is a good approximation, and determine the low tempera-ture behavior of a harmonic...
May 13, 2022
1. Verify this result. {Hint: Introduce the transformation of variables x =β (ε-μ) and note the μ and μ0 are close at small T.} 2. Answer the above question. (Hint: con-sider the average spatial...
May 13, 2022
Consider an isomerization process Where A and B refer to the different ismer states of a molecule. Imagine that the process takes place in a dilute...
May 13, 2022
Consider the system described in Exercise 4.15. The canonical partition function is Where N is the total number of molecules, and q is...
May 13, 2022
For the system described in exercises 4.15 and 4.16 we have the canonical partition function Show that ...
May 13, 2022
Consider the ideal Fermi gas of Exercise 4.18 in the high temperature and /or low density regime (a) Show that (b) Use this result together with the Fermi distribution for {np} to...
May 13, 2022
Consider now the ideal Fermi gas of Exercise 4.18 at low temperature and/or high density (a) Show that (b) Show that Hence the pressure does not vanish at T = 0. Why?
May 13, 2022
(a) Prove that if the energy eigenvalues of a system can be expressed as a sum of independent contributions E = EA + EB +EC (e.g. electronic energy, vibrational energy, rota-tional energy) that the...
May 13, 2022
State all the necessary assumptions and calculate the entropy and Cp (in units of call per mole-deg) for HBr at 1 atm pressure and 200 C given that here hω is the energy spacing between the ground and...
May 13, 2022
Use the information compiled in chapter 8 of Hill’s Introduction to statistical Thermodynamics to calculate the equilibrium constant, K, for the reaction ...
May 13, 2022
Consider a one-component gas of non-interacting classical structureless particles of mass m at a temperature T. (a) Calculate exactly the grand canonical partition function, for this system as...
May 13, 2022
Show that for positive j and zero field (e. e., H→0+), the lowest energy of the lsing model with a cubic lattice is and that this lowest energy...
May 13, 2022
Make the correspondence concrete. In par-ticulare, derive the precise relationships between the para-meters in the Ising magnet and those in the lattice gas that make the canonical partition function...
May 13, 2022
Verify this result. By Taylor expansion, analyze the precise from of m for temperatures near 2Dj/KB and show that the critical exponent β in this mean filed theory has the value ½. Show that at T =...
May 13, 2022
Verify this result. Further, show that with this choice for ∆H, the first-order perturbation ap-proximation for the free energy corresponds to ϱ= ϱ NF, and that kB T In ϱMF is actually an upper bound...
May 13, 2022
Consider the one-dimensional I sing model with an external magnetic field. With suitably reduced variables, the canonical partition function is (a) Show that by summing...
May 13, 2022
In this exercise, consider the Ising magnet that is isomorphic to the two-state quantal system. Suppose that the electric field, is a random fluctuationg field with a Gaussian probability...
May 13, 2022
Consider a one-dimensional Ising magnet in a fluctuating magnetic field, h. The particular model to be considered has the partition function with SN+1 = S1. Note that...
May 13, 2022
Describe a model system for which you can conceive of circumstances where Newtonian trajectories will be quasi-ergodic. One example might be a system of spherical particles jammed into a fixed volume...
May 13, 2022
Construct and describe an algorithm which employs a random number generator and samples states of the Ising magnet consistent with the distribution where Mv is the...
May 13, 2022
Describe a Monte Carlo alogorithm that samples canonical equilibrium for a model with Where the primed sum is over nearest neighbors on a square lattice and the spins, si can take...
May 13, 2022
Run this Monte Carlo code on a computer. Evaluate the average of the spin (for every hundredth step in the trajectory, the code lists the value of the fraction of up spins). Demonstrate that the...
May 13, 2022
Consider an Ising magnet at a temperature T and another at a different temperature T’ . Show that the difference in free energy per unit temperature between the two can be computed by averaging ...
May 13, 2022
Consider an analogous problem encountered in solution theory. Two solutes are dissolved in a fluid of 400 solvent molecules to simulate a solution at low solute concentrations. Suppose the solutes...
May 13, 2022
Construct a Metropolis Monte Carlo code for a two-dimensional Ising magnet with 20 x 20 = 400 Spins and periodic boundary conditions. Run the code and collect statistics from the trajectory to analyze...
May 13, 2022
«
1
2
3
4
5
6
7
8
9
10
3297
»