A Large Deviation Perspective on Nanoscale Transport Phenomena

Explore a comprehensive lecture on nanoscale transport phenomena from a large deviation perspective. Delve into the challenges of understanding transport processes in complex nanoscale systems, such as ionic conductivities in nanofluidic devices and heat conduction in low-dimensional solids. Learn about a systematic framework for computing distributions of time-integrated currents in molecular models and relating cumulants to nonlinear transport coefficients. Discover how this approach, based on dynamical large deviation theory, provides a microscopic basis for going beyond traditional hydrodynamics when local equilibrium assumptions break down. Examine topics including the structure of fluctuations in nonequilibrium steady-states, numerical tools for systems far from equilibrium, heat transport in low-dimensional carbon lattices, and the generalization of the Onsager-Wien effect. Gain insights into how current fluctuations determine equilibrium response but not nonequilibrium response, and how high solvent friction suppresses field dependence in nanoscale transport phenomena.

Intro
Structure of fluctuations in nonequilibrium steady-states
Characterizing fluctuations with large deviation theory
Numerical tools for systems far from equilibrium
Current fluctuations determine equilibrium response
Current fluctuations do not determine noneq response
Heat transport in low dimensional carbon lattices
Conductivity from rare equilibrium fluctuations
Energy transport in low d is described by a Levy walk
Generalization of the Onsager-Wien effect
High solvent friction suppresses field dependence