## Statistical mechanics: fundamentals and modern applicationsThis book examines the latest developments in statistical mechanics, a branch of physical chemistry and physics that uses statistical techniques to predict the properties and the behavior of chemical and physical systems. It begins with a review of some of the essential concepts and then discusses recent developments in both equilibrium and nonequilibrium statistical mechanics. It covers liquids, phase transitions, renormalization theory, Monte Carlo techniques, and chaos. |

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Page 26

For many systems, the averages must be obtained numerically. Two broad

methods are available for numerical calculations. In the first method,

molecular dynamics method, one solves Hamilton's or Newton's equations of

motion for ...

For many systems, the averages must be obtained numerically. Two broad

methods are available for numerical calculations. In the first method,

**called**themolecular dynamics method, one solves Hamilton's or Newton's equations of

motion for ...

Page 91

singularities, and the system exists in a single phase

phase. The point at which the two phases become identical (H = 0, T = Tc) is

singularities, and the system exists in a single phase

**called**the paramagneticphase. The point at which the two phases become identical (H = 0, T = Tc) is

**called**a critical point, and the phase transition that takes place at this point is**called**a ...Page 123

jW. +. *Br2. (. ^. = -NkBT + EN (4.18) where EN is

energy. By evaluating EN in terms of two-body (pairwise additive) interactions (

e.g., McQuarrie, 1976, p. 261), ...

jW. +. *Br2. (. ^. = -NkBT + EN (4.18) where EN is

**called**the configurationalenergy. By evaluating EN in terms of two-body (pairwise additive) interactions (

e.g., McQuarrie, 1976, p. 261), ...

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### Contents

Classical Statistical Mechanics | 3 |

Quantum Statistical Mechanics | 45 |

Phase Transitions and Critical Phenomena | 83 |

Copyright | |

14 other sections not shown

### Common terms and phrases

attractor automata average behavior bifurcation Boltzmann Boltzmann equation Brownian motion Brownian particle BZ reaction calculate called canonical ensemble cell cellular automaton chaos Chapter coefficient collisions configuration consider coordinates correlation functions coupling constants critical exponents critical point defined depends derivation dimension discussed distribution function dynamics eigenvalues entropy equilibrium evaluated example ferromagnetic fixed point fluctuations fluid FORTRAN FORTRAN program fractal free energy frequency Gaussian Hamiltonian initial integral interactions Ising model iterations Kramers Langevin equation lattice limit cycle linear magnetization Markovian matrix method microcanonical ensemble microstates molecular nonequilibrium nonlinear number of particles obtained one-dimensional order parameter oscillations partition function Pathria phase space phase transition polymer potential power spectrum probability density problem protein quantities quantum mechanics RANDOM NUMBER random walk scaling Section shown in Figure simulation solution spin glass statistical mechanics steps stochastic temperature theorem thermodynamic limit total number values vector velocity zero