## 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 310

fundamentals and modern applications Richard E. Wilde, Surjit Singh. 1.0 0.8 0.6

P X 0.4 - 0.2 - 3.0 3.2 3.4 3.6 3.8 a Figure 12.14

equation. 4.0 1992, pp. 77-78; Drazin, 1993, p. 95). Each point on this diagram ...

fundamentals and modern applications Richard E. Wilde, Surjit Singh. 1.0 0.8 0.6

P X 0.4 - 0.2 - 3.0 3.2 3.4 3.6 3.8 a Figure 12.14

**Bifurcation**diagram of the logisticequation. 4.0 1992, pp. 77-78; Drazin, 1993, p. 95). Each point on this diagram ...

Page 316

Usually, for a given experiment, the temperature, stirring rate, and initial

concentrations are fixed, and the flow rate is taken to be the

. All the

Usually, for a given experiment, the temperature, stirring rate, and initial

concentrations are fixed, and the flow rate is taken to be the

**bifurcation**parameter. All the

**bifurcations**discussed above have been observed in the BZ reaction.Page 321

There have been some attempts to study the

the

the system is deterministic. Similar to the critical point of a continuous phase ...

There have been some attempts to study the

**bifurcation**mechanisms. It is here atthe

**bifurcation**points that the system is stochastic, while in between these pointsthe system is deterministic. Similar to the critical point of a continuous phase ...

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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