Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
Pierpaolo Vivo 1, Satya N. Majumdar 2, Oriol Bohigas 2 Physical Review B 81 (2010) 104202 We establish large deviation formulas for linear statistics on the $N$ transmission eigenvalues $\{T_i\}$ of a chaotic cavity, in the framework of Random Matrix Theory. Given any linear statistics of interest $A=\sum_{i=1}^N a(T_i)$, the probability distribution $\mathcal{P}_A(A,N)$ of $A$ generically satisfies the large deviation formula […]
