Structure of fluctuations in nonequilibrium steady-states
3
Characterizing fluctuations with large deviation theory
4
Numerical tools for systems far from equilibrium
5
Current fluctuations determine equilibrium response
6
Current fluctuations do not determine noneq response
7
Heat transport in low dimensional carbon lattices
8
Conductivity from rare equilibrium fluctuations
9
Energy transport in low d is described by a Levy walk
10
Generalization of the Onsager-Wien effect
11
High solvent friction suppresses field dependence
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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.
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A Large Deviation Perspective on Nanoscale Transport Phenomena
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)