Internal-field distribution in spin-glasses with dipolar interactions

We analyze the internal-field distribution functions for dipolar coupling and for dipolar and Ruderman-Kittel-Kasuya-Yosida interactions together. First a totally random spin system is considered. After this a local correlation between the spins is taken into account, which causes a cavity to appear within the internal-field distribution functions. We also analyze the cavity-depth-modification problem and present an application in the ${\mu }^{+}$ relaxation domain.