Vol 5 - Landau Lifshitz Statistical Physics · Problem 111.1

Fluctuations

Physics — Landau & Lifshitz · gaussian-distribution-multivariate

Problem

Determine the mean value

\langle \exp(\alpha_i x_i) \rangle

, where the

\alpha_i

are constants and the

x_i

are fluctuating quantities subject to the Gaussian distribution (111.2).