Further info
Fluctuations, memory and non-equilibrium dynamics
A curated set of accessible background pages, reviews and lecture notes related to this research programme.
Wikipedia primers
Accessible introductions to the statistical and field-theoretic ideas behind fluctuations, memory and rare events.
Schwinger-Keldysh formalismThe closed-time-path formalism used to organise real-time response, fluctuations and non-equilibrium dynamics.Fluctuation-dissipation theoremThe equilibrium relation tying fluctuations to response, and the starting point for many of the programme's KMS questions.Large deviations theoryThe probability theory of exponentially rare fluctuations and rate functions.Brownian motionThe archetypal stochastic dynamics of a degree of freedom coupled to an environment.Mori-Zwanzig formalismA projection-operator framework showing how eliminating unresolved degrees of freedom generates memory and noise.Renormalisation groupThe language of coarse graining and scale dependence used when matching stochastic effective theories.Kinetic theoryThe mesoscopic bridge between microscopic dynamics and hydrodynamic descriptions.
Reviews and lecture notes
Technical background for Schwinger-Keldysh effective theory, stochastic hydrodynamics and rare-event physics.
Effective field theory of dissipative fluidsA foundational Schwinger-Keldysh formulation of dissipative and fluctuating hydrodynamics with local KMS symmetry.Keldysh Field Theory for Driven Open Quantum SystemsA systematic review of the Keldysh functional-integral approach to driven and dissipative quantum many-body systems.Macroscopic fluctuation theoryA comprehensive review of space-time fluctuations and rare events in driven diffusive systems.A basic introduction to large deviationsPedagogical notes on rare-event probabilities, rate functions and their applications in statistical physics.Lectures on hydrodynamic fluctuations in relativistic theoriesA pedagogical bridge between hydrodynamic modes, correlation functions and fluctuating effective descriptions.An introduction to relativistic kinetic theory on curved spacetimesA modern introduction to covariant kinetic theory and its geometric formulation.
Other resources
Additional material already associated with this programme.