Bibliographic record and links to related information available from the Library of Congress catalog
Note: Electronic data is machine generated. May be incomplete or contain other coding.
1 Introduction 1 2 Linear irreversible thermodynamics 11 2.1 The conservation equations 11 2.2 Entropy production 17 2.3 Curie's theorem 20 2.4 Non-markovian constitutive relations: viscoelasticity 27 3 The microscopic connection 33 3.1 Classical mechanics 33 3.2 Phase space 44 3.3 Distribution functions and the liouville equation 46 3.4 Ergodicity, mixing, and Lyapunov exponents 53 3.5 Equilibrium time-correlation functions 59 3.6 Operator identities 62 3.7 The Irving-Kirkwood procedure 66 3.8 Instantaneous microscopic representation of fluxes 68 3.9 Microscopic representation of the temperature 77 4 The Green-kubo relations 79 4.1 The Langevin equation 79 4.2 Mori-Zwanzig theory 83 4.3 Shear viscosity 87 4.4 Green-Kubo relations for Navier-Stokes transport coefficients 92 5 Linear-response theory 95 5.1 Adiabatic linear response theory 95 5.2 Thermostats and equilibrium distribution functions 100 5.3 Isothermal linear response theory 111 5.4 The equivalence of thermostatted linear responses 116 6 Computer simulation algorithms 119 6.1 Introduction 119 6.2 Self diffusion 125 6.3 Couette flow and shear viscosity 130 6.4 Thermostatting shear flows 142 6.5 Elongational flows 146 6.6 Thermal conductivity 150 6.7 Norton ensemble methods 152 6.8 Constant-pressure ensembles 156 6.9 Constant stress ensembles 160 7 Nonlinear response theory 167 7.1 Kubo's form for the nonlinear response 167 7.2 Kawasaki distribution function 169 7.3 The transient time-correlation function formalism 173 7.4 Trajectory mappings 177 7.5 Differential response functions 185 7.6 The van Kampen objection to linear response theory 193 7.7 Time-dependent response theory 200 8 Dynamical stability 209 8.1 Introduction 209 8.2 Chaotic dynamical systems 211 8.3 The characterization of chaos 221 8.4 Chaos in planar couette flow 230 8.5 Conjugate pairing of Lyapunov exponents 238 8.6 Periodic orbit measures 244 8.7 Positivity of transport coefficients 255 9 Nonequilibrium fluctuations 259 9.1 Introduction 259 9.2 The specific heat 260 9.3 The compressibility and isobaric specific heat 265 9.4 The fluctuation theorem 267 9.5 Gallavotti and Cohen fluctuation theorem 274 9.6 The Jarzynski equality 277 9.7 The Crooks relation 280 9.8 Experimental verification 282 10 Thermodynamics of steady states 283 10.1 The thermodynamic temperature 283 10.2 Green's expansion for the entropy 292 10.3 Prospects 299