Examine the critical behavior of the low-field susceptibility, (chi_{0}), of an Ising model in the Bethe approximation

Question:

Examine the critical behavior of the low-field susceptibility, $\chi_{0}$, of an Ising model in the Bethe approximation of Section 12.6, and compare your results with equations (12.5.22) of the Bragg-Williams approximation.

Equation (12.5.22)

image text in transcribed

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Statistical Mechanics

ISBN: 9780123821881

3rd Edition

Authors: Paul D. Beale

See More Books

Question Posted: Mar 22, 2024 08:00 AM

See More Questions

"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
Reanalyze the data in Table 8.15 (p. 323) using nonparametric methods, and compare your results with those obtained in Problem 8.41 (p. 324). Table 8.15 Reproducibility of assessment of number of...
Q1. During November, these transactions took place in Singer Inc., a company that uses job order costing: a) Materials purchased on account $35,600. b) Materials issued to fill requisitions on job...
The market capitalization of Dollarama Inc. was $11.6 billion at the end of its fiscal year in 2014 and $7.9 billion at the end of 2015. Explain what "market capitalization" means and describe the...
The Cutler Corporation prepared the following balance sheet: Required 1. Identify the errors made in the Cutler balance sheet. 2. Prepare a corrected, properly classified balancesheet. CUTLER...
Consider the following cash flow profile and assume MARR is 10 percent/year. a. What does Descartes' rule of signs tell us about the IRR(s) of this project? b. What does Norstrom's criterion tell us...
SkyChefs, Inc., prepares in-flight meals for a number of major airlines. One of the companys products is grilled salmon in dill sauce with baby new potatoes and spring vegetables. During the most...
Company EJ plans to build a new plant to manufacture bicycles. EJ sells its bicycles in the world market for $400 per bike. It could locate the plant in Province P, which levies a 20 percent tax on...
A function $f(x)$ is said to be concave over an interval $(a, b)$ if it satisfies the property \[ f\left\{\lambda x_{1}+(1-\lambda) x_{2} ight\} \geq \lambda f\left(x_{1} ight)+(1-\lambda)...
Show that in the Bethe approximation the entropy of the Ising lattice at $T=T_{C}$ is given by the expression \[ \frac{S_{c}}{N k}=\ln 2+\frac{q}{2} \ln \left(1-\frac{1}{q}...
What is the significance of a secured position if the absolute priority rule is typically not followed in a reorganization?
The next meeting of the Fed's Federal Open Market Committee is scheduled for September 19-20. You can find the FOMC statement here (the previous statements are also available). If you post your...
How an expanding agriculture industry that ships produce abroad is indicative of a civilization? Elaborate inn detail.
What argument supports federal government regulation of industry? Effective government regulations create incentives for businesses in various industries. States are better able to decide their own...
Describe the public policy and the agenda setting, including why this policy was created (policy strategy) and explain how and why your policy was adopted. Explain how the policy was implemented and...
Consider a scenario where both bond supply and demand increase simultaneously. How would this impact bond prices and yields? Provide an example of an event that could lead to such a situation
Two different routes, which entail driving across a mountainous section, are being considered for a highway construction project. The first route (the high road) will require building several bridges...
Using Gauss-Jordan elimination, invert this matrix ONLY 0 0 0 0 1
The regions of + in a compound are the regions most likely to be attacked by an anion, such as hydroxide (HO - ). In the compound below, identify the two carbon atoms that are most likely to be...
Consider the three compounds shown below and then answer the questions that follow: a) Which two compounds are constitutional isomers? b) Which compound contains a nitrogen atom with trigonal...
Compound A is an alkene that was treated with ozone (followed by DMS) to yield only 4-heptanone. Identify the major product that is expected when compound A is treated with MCPBA followed by aqueous...
How do neurotransmitter receptors such as ionotropic glutamate receptors, G protein-coupled receptors, and ligand-gated ion channels mediate synaptic transmission and neuronal excitability, and what...
1 A bag of cement weighing 375 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles system is in equilibrium, find the tensions T1, T2, and in the...
A sealed vessel holds a quantity of oxygen gas at a temperature of 99.7C and a pressure of 3.99atm. 50% Part (a) Beginning from the state of the gas as specified in the problem statement, the volume...

Examine the critical behavior of the low-field susceptibility, (chi_{0}), of an Ising model in the Bethe approximation

Question:

Xo(T) (N/k)(T-Tc) (TTC, B 0), (22a) Xo(T) (Nu/2k)(Te-T) (TTC, B 0). (22b)

Step by Step Answer:

Using eqn 12614 we get beginarrayr chi equivleftfracpartial barMpartial B ightTfracN mu2k Tleftfracpartial barLpartial alpha ightTfrac2 N mu2k T frac1...View the full answer

Statistical Mechanics

Students also viewed these Sciences questions