The theory isn't about deriving the W function as far as I understand it. It uses a given W function to calculate all other things so it can't assume anything about it, besides the fact that it should go to \infty when \lambda\rightarrow\infty and to 0 when \lambda\rightarrow0.
As I understand...
There it is: ftp://213.176.96.142/aip1c48329b-957e-20141114083409.pdf
or: http://scitation.aip.org/content/aip/journal/jcp/31/2/10.1063/1.1730361
Well, for p_0(\lambda) to be a probability function, it has to be normalized so when you integrate over all possible values of \lambda you get 1...
Regarding the first reply: let us take, for example, a work function ##W(\lambda)## that goes like the surface area of the sphere ##\lambda^2##. It is reasonable since the work needed to create a cavity of size 0 is 0 and it monotonically increases as ##\lambda## get's bigger, "exploding" at...
Hi all,
I'm reading an article titled "statistical mechanics of rigid spheres" by Reiss, Frisch and Lebowitz (1959). It tries to capture the equation of state of rigid spheres.
In their article they write the probability that at a random point in the fluid the center of the nearest molecule is a...
You can look at it in several ways. One is to look at the electric field between the plates (I assume parallel plates). Since there is a dielectric between the plates, the electric field gets reduced and you will need more charge on the plates to increase the voltage between them. Using the...
It means that the total potential energy of the system is the sum over all potential energies of pairs of particles in the system. It does not, in general, have to be the case. For example: if the energy between two particles depend on whether there is a third particle nearby than the potential...
I think I understand your question. The disjoining pressure in your case is made of van der Waals energy (specifically - London-Lifshitz dispersion forces). You said yourself that there is a thin film between the substrate and the liquid. In that case that is the medium which is used in the...
I think the graph should be monotonically increasing since the temperature is the slope. Furthermore, the second derivative should also be considered since it relates to the heat capacity.
Hi all,
In the solid state physics course I took a year ago we used the chemical potential μ which appeared inside the fermi-dirac distribution function to describe the energy that above it no electrons resides and below it they all reside as the temperature reaches 0 kelvin.
Now, when I...
I think you can also use the superposition principle here (correct me if I'm wrong...)
First short one of the sources, solving for the voltages and currents, then do it for the other one. Each time you have only one source and the resistors are connected in parallel or in series. The answer is...
well, that was my first naive thought: drilling a micro-sized hole. but of course this is very hard to achieve and besides the time it takes to make, it is also difficult to manipulate (just think about how you would get air flowing through such a small hole - a syringe?)