## 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. |

### From inside the book

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Page 29

lnE (1.95) 1.6.2

Section 1.5, it can be shown (see Exercises at the end of this chapter) that, in the

vicinity of the average energy, fl(E, V, N) becomes a Gaussian distribution as a ...

lnE (1.95) 1.6.2

**Fluctuations**and the Thermodynamic Limit By using the results inSection 1.5, it can be shown (see Exercises at the end of this chapter) that, in the

vicinity of the average energy, fl(E, V, N) becomes a Gaussian distribution as a ...

Page 91

The system is continually making transitions from the spin-up microstate to the

spin-down microstate owing to spontaneous

lifetime of these

The system is continually making transitions from the spin-up microstate to the

spin-down microstate owing to spontaneous

**fluctuations**. In a finite system, thelifetime of these

**fluctuations**is finite, and the time average equals the ensemble ...Page 395

... 285 andRG, 114, 167 FKN mechanism, 283 Flory point, 181

223

227 in ...

... 285 andRG, 114, 167 FKN mechanism, 283 Flory point, 181

**Fluctuating**force,223

**Fluctuation**-dissipation relation, see**Fluctuation**-dissipation theorem**Fluctuation**-dissipation theorem, 225**Fluctuations**, 29 in Brownian motion, 219,227 in ...

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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