Explore how finite systems behave under stochastic modeling and nonequilibrium dynamics.
This rigorous study develops new ways to sum propagator expansions and analyze correlation and Green’s functions in time-dependent ensembles.
This edition extends previous work to systems of any size, introducing collective field representations and stochastic couplings that link multiple, initially independent systems. It shows how finite-difference methods can test the validity of closed model equations beyond perturbation theory, with a careful look at convergence and diagrammatic contributions.
- Learn how collective field descriptions replace individual subsystems and how stochastic interactions create dynamic coupling.
- See how irreducible and linked-diagram expansions lead to formally closed equations for key quantities like propagators and correlation functions.
- Understand the role of finite-size effects and how the M → ∞ limit connects finite models to the infinite-system theory.
- Discover the non-equilibrium formalism adapted from turbulence theory and its relation to equilibrium results.
Ideal for readers of advanced statistical mechanics and quantum many-body theory who seek a rigorous, model-based approach to non-equilibrium dynamics in finite systems.