Susceptibility Definition and 69 Threads

I wanted to calculate the magnetic susceptibility for a model system, with no interaction. I know the energy eigenvalues and eigenvectors. How can I proceed? Any help would be wonderful!

How do we calculate susceptibility X. Noting that the curie equation is M = x/T, where M is the total magnetization. We must express the anser is terms of y and the magnetic field Bo. Could I please have contributions to solutions, references and formulas that may be required to solve...

Hi, I have to make a coil.I do not know anything about its dimensions but know that it is to be used to measure magnetic field,its actually to be used in a magnetic susceptibility measurement.There are 3 coils, drive, excitation, measurement and I/p is given at 1000hz frequency. I need to...

I'm stuck on a question about deriving an expression for the magnetic susceptibility in terms of the variance of the magnetisation for a simple 2d square ising model. I get the derivation of the specific heat, and I know am supposed to do something similar to get to the expression for...

I am trying to find the susceptibility for Bismuth, but I don't know which one I am after. Wikipedia gives molar, mass and volume. In my experiment we where asked to calculate the susceptibility, but not which one so I don't know which one I should compare with. In the experiment we used the...

Homework Statement I have a linear dielectric material. The electric field in the material is 38% less than a vacuum field with the same external sources. I need to find the susceptibility of the material? Homework Equations I used P=\epsilon\chi(vacuum)E P=\epsilon\chi(material).62EThe...

I am reading a paper on applying an external field on a two-level system. And it turns out that at some frequency (of the field), the imaginary part of the susceptibility become very close to zero. I wonder what's the physical significance when imaginary part of the susceptibility is ZERO...

Homework Statement Near the critical point, Gibbs free energy of a ferromagnetic system can be written as (1). a)Using the definition of magnetization, (2), show that m(t,H=0) = Bt^{\beta} B is a constant. Determine \beta in relation to \alpha and \Delta b) Show that the...

In some unit, the relation of (linear) polarization and susceptibility can be written of P(t) = \chi E(t) but I also read some expression in other text reads P(\omega) = \chi(\omega) E(\omega) why change the time to frequency? Why polarization depends on frequency?

Hi, I'm slightly confused about how to prove that: \chi=\vartheta<M>/\varthetaH is equal to... \chi=(<M2>-<M>2 )/ T I've expressed <M> as \sumMsexp(-E/kBT) / \sumexp(-E/kBT) and know that E=-J\sumSiSj-H\sumSi But seem to get lost in the...

I have what seems like a simple problem. I was asked to use a simple resistor divider as a scaling circuit into an A/D converter. My problem is that I have a low steady-state current requirement, and so I needed to increase the resistor values. I was told this is not an option because it...

The imaginary part of the \chi ^3 susceptibility can be split into the resonant and non resonant contributions. The resonant is the contribution from satisfying a resonant vibrational state/mode, but what contributes to the non resonant term?

Homework Statement 1. State a relationship between the free energy, F, and the magnetisation, M. 2. State a partition function for the case of a system of N independent spin-1/2 paramagnets in a field, and derive an expression for its susceptibility. The Attempt at a Solution (1) Looking in...

Homework Statement H=H_{0} -g\muSB H_{0} = hamiltonian in absence of field S=Spin operator in the direction of the fied (say along z-axis) show that 1) M=1/\beta (dLn Z/ dB) 2) \chi = \beta(g \mu)^{2} <(S-<S>)^{}2> Dont know why it shows\mu in superscript. It isn't meant to be...

In a homogeneous linear dielectric , bound charge density \rho _b is proportional to free charge density \rho_f , because \rho _b = - \nabla \cdot \vec{P} = \frac{\chi_e}{1+\chi_e} \nabla \cdot \vec{D} = \frac{\chi_e}{1+\chi_e} \rho _f My problem is that bound charge density is...

Not really a problem, I'm reading these 10 pages from a solid-state book for a professor, and it's a little over my head. Excuse the lack of LATEX but I copied it from another board I posted, and if you can help you likely know the equations involved anyways. I'm not expected to understand it...

i think magnetic susceptibility xm=M/H is contant and independent of the units we are working with. in different refferences, they sometimes quote mks or cgs units which gives different value of Xm. It confuses me. Is Xm units dependent? for example Xm for oxygen is about 10^-4 in cgs...

what is particle-particle or particle-hole susceptibility in condensed matter physics? what is it good for and where does it come from?

Suppose there is a line of atoms X and Y. For atom Y, S = L = 0, but not for the atom X. The arrangement is like this: --X-Y---X-Y---X-Y---X-Y-- (periodical) In the following 2 cases, will the magnetic moment depend on whether the magnetic field is applied to the right or to the left? (The...