t and t' are different parameters, so as you see in the right hand side t acts as a constant in the integral,
but still in the right hand side there is a 2nd derivative of F with respect to the parameter t.
I need to evaluate numericly the function F(t) that solve this equation.
Hello,
I have been encountered an integral equation that I need to solve\evaluate numericly and I didn't find anything like it in my search yet.
The equation:
\frac{d^2 F(t)}{dt^2}=const*\int_{t'}\frac{sin(F(t)-F(t'))}{(t-t')^{2k}}dt'
If it helps there is a specific case, when K=1...
yes, you're right, I charted a 3D graph that contains what you have just depicted.
Back to my question-
there are two scenarios:
1. The author is right and the other pure fixed point at p=1 Δ=∞ isn't attracting, or acting in a way that make the flow on the critical surface be directed to the...
You didn't take into account the distribution of the crystal field:
P(Δi)= pδ(Δi + Δ)+(1-p)δ(Δi - Δ)
which says that even for Δ=+∞ we get a limit for dilute ising spin 1/2 (or you can call it random site ising model) and you can see in the - (temperature - p) plane the same critical line as...
Hi, my name is Ofek and its my first post here. hope to be clear and if not I'll try to be more specific next time.
Link for the article: http://arxiv.org/pdf/cond-mat/9708043.pdf
Writen by N. S. Branco
The model H = J*ƩSiSj + ƩΔi(Si)^2 - first sum over nearest neighbors and second sum...