This book is based on my research work I did between 1986 and 1992 at the Institut fur Theoretische Physik und Synergetik, Universitiit Stuttgart. It might be of interest to all students and scientists who are interested in modern mathematical physics. It deals with one of the essential topics of modern physical research, namely t. he problem of universal aspects in statistical physics, and in doing so multi-component systems, like thermodynamic systems, laser systems and high-dimensional quan tum systems, are considered. Synergetic aspects of multi-component systems will be discussed....