Comments:

68 pages, arXiv PDF , 9th Jan 2009, Oxford University Press book

Abstract:

"Table of Contents: 1 Trajectories, distributions and path integrals. 1 1.1 From trajectories to distributions 1 1.2 Hilbert Space 7 1.3 Functional approach 10 2 Time-reversal and Equilibrium 14 2.1 Detailed Balance 14 2.2 Equilibrium theorems: Reciprocity and Fluctuation-Dissipation 16 2.3 Time-reversal violations and Entropy production 18 2.4 What does a stationary out of equilibrium distribution look like? 19 2.5 Spectra of Fokker-Planck, Kramers and Liouville operators 22 3 Separation of timescales 24 3.1 Metastability 25 3.2 Transition currents 29 3.3 Hydrodynamic Limit and Macroscopic Fluctuations 32 4 Large Deviations 35 4.1 Climbing to unusual heights 35 4.2 Unusual time averages 42 4.3 Simulating large deviations (and Quantum Mechanics) 44 5 Metastability and dynamical phase transitions 45 5.1 A simple example 45 5.2 Spectral properties and phase transitions 47 6 Fluctuation Theorems and Jarzynski equality 48 6.1 The fluctuation theorem(s) 48 6.2 Jarzynski's equality 52 6.3 A paradox 54 6.4 Experimental work 55 References 57" free online downloads at: http://arxiv.org/PS_cache/arxiv/pdf/0901/0901.1271v1.pdf

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Open access and free online downloads at: http://arxiv.org/PS_cache/arxiv/pdf/0901/0901.1271v1.pdf

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