LEADER 05492nam 2200685 a 450 001 9910811233003321 005 20230105205904.0 010 $a1-281-60361-9 010 $a9786613784308 010 $a981-4383-17-1 035 $a(CKB)2670000000232823 035 $a(EBL)982514 035 $a(OCoLC)804661882 035 $a(SSID)ssj0000696952 035 $a(PQKBManifestationID)12316130 035 $a(PQKBTitleCode)TC0000696952 035 $a(PQKBWorkID)10682990 035 $a(PQKB)11075566 035 $a(MiAaPQ)EBC982514 035 $a(WSP)00002740 035 $a(Au-PeEL)EBL982514 035 $a(CaPaEBR)ebr10583622 035 $a(CaONFJC)MIL378430 035 $a(EXLCZ)992670000000232823 100 $a20120807d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTime reversability, computer simulation, algorithms, chaos$b[electronic resource] /$fWilliam Graham Hoover, Carol Griswold Hoover 205 $a2nd ed. 210 $aHackensack, N.J. $cWorld Scientific$d2012 215 $a1 online resource (426 p.) 225 1 $aAdvanced series in nonlinear dynamics ;$vv. 13 300 $aDescription based upon print version of record. 311 $a981-4383-16-3 320 $aIncludes bibliographical references and index. 327 $aPreface; Preface to the First Edition; Contents; Glossary of Technical Terms; 1. Time Reversibility, Computer Simulation, Algorithms, Chaos; 1.1 Microscopic Reversibility; Macroscopic Irreversibility; 1.2 Time Reversibility of Irreversible Processes; 1.3 Classical Microscopic and Macroscopic Simulation; 1.4 Continuity, Information, and Bit Reversibility; 1.5 Instability and Chaos; 1.6 Simple Explanations of Complex Phenomena; 1.7 The Paradox: Irreversibility from Reversible Dynamics; 1.8 Algorithm: Fourth-Order Runge-Kutta Integrator; 1.9 Example Problems; 1.9.1 Equilibrium Baker Map 327 $a1.9.2 Equilibrium Galton Board1.9.3 Equilibrium Hookean Pendulum; 1.9.4 Nose-Hoover Oscillator with a Temperature Gradient; 1.10 Summary and Notes; 1.10.1 Notes and References; 2. Time-Reversibility in Physics and Computation; 2.1 Introduction; 2.2 Time Reversibility; 2.3 Levesque and Verlet's Bit-Reversible Algorithm; 2.4 Lagrangian and Hamiltonian Mechanics; 2.5 Liouville's Incompressible Theorem; 2.6 What Is Macroscopic Thermodynamics?; 2.7 First and Second Laws of Thermodynamics; 2.8 Temperature, Zeroth Law, Reservoirs, Thermostats 327 $a2.9 Irreversibility from Stochastic Irreversible Equations2.10 Irreversibility from Time-Reversible Equations?; 2.11 An Algorithm Implementing Bit-Reversible Dynamics; 2.12 Example Problems; 2.12.1 Time-Reversible Dissipative Map; 2.12.2 A Smooth-Potential Galton Board; 2.13 Summary; 2.13.1 Notes and References; 3. Gibbs' Statistical Mechanics; 3.1 Scope and History; 3.2 Formal Structure of Gibbs' Statistical Mechanics; 3.3 Initial Conditions, Boundary Conditions, Ergodicity; 3.4 From Hamiltonian Dynamics to Gibbs' Probability; 3.5 From Gibbs' Probability to Thermodynamics 327 $a3.6 Pressure and Energy from Gibbs' Canonical Ensemble3.7 Gibbs' Entropy versus Boltzmann's Entropy; 3.8 Number-Dependence and Thermodynamic Fluctuations; 3.9 Green and Kubo's Linear-Response Theory; 3.10 An Algorithm for Local Smooth-Particle Averages; 3.11 Example Problems; 3.11.1 Quasiharmonic Thermodynamics; 3.11.2 Hard-Disk and Hard-Sphere Thermodynamics; 3.11.3 Time-Reversible Confined Free Expansion; 3.12 Summary; 3.12.1 Notes and References; 4. Irreversibility in Real Life; 4.1 Introduction; 4.2 Phenomenology - the Linear Dissipative Laws 327 $a4.3 Microscopic Basis of the Irreversible Linear Laws4.4 Solving the Linear Macroscopic Equations; 4.5 Nonequilibrium Entropy Changes; 4.6 Fluctuations and Nonequilibrium States; 4.7 Deviations from the Phenomenological Linear Laws; 4.8 Causes of Irreversibility a la Boltzmann and Lyapunov; 4.9 Rayleigh-Benard Algorithm with Atomistic Flow; 4.10 Rayleigh-Benard Algorithm for a Continuum; 4.11 Three Rayleigh-Benard Example Problems; 4.11.1 Rayleigh-Benard Flow via Lorenz' Attractor; 4.11.2 Rayleigh-Benard Flow with Continuum Mechanics; 4.11.3 Rayleigh-Benard Flow with Molecular Dynamics 327 $a4.12 Summary 330 $aA small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "reversibility paradox", with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and "chaos theory" or "nonlinear dynamics" has supplied a useful 410 0$aAdvanced series in nonlinear dynamics ;$vv. 13. 606 $aIrreversible processes 606 $aThermodynamics 615 0$aIrreversible processes. 615 0$aThermodynamics. 676 $a536.701 700 $aHoover$b William G$g(William Graham),$f1936-$047793 701 $aHoover$b Carol Griswold$0732434 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811233003321 996 $aTime reversability, computer simulation, algorithms, chaos$93942995 997 $aUNINA