Nonlinear systems, stochastic processes, and statistical mechanics

01 January 2007 → 31 December 2011
Federal funding: various
Research disciplines
  • Natural sciences
    • Analysis
    • Applied mathematics in specific fields
    • General mathematics
    • History and foundations
    • Other mathematical sciences
statistical mechanics
Project description

Today a major trend in fundamental sciences is the study of nonlinear systems and the appearance of complex behavior. Such systems are characterized by many interacting entities as in macroscopic physics where systems composed of many microscopic particles present collective and nonlinear phenomena such as phase transitions, or transport properties under nonequilibrium conditions. As a starting point such a study requires the microscopic description in terms of interacting particles and the next step is to derive the collective and transport properties by mathematical methods.