## 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 44

pressure assuming ideal gas behavior. 13.

capacity of a system of harmonic oscillators as a function of temperature. Assume

...

**Calculate**the partial pressure of all the isotopic species of BC13 at 1 .0-atm totalpressure assuming ideal gas behavior. 13.

**Calculate**and plot the molar heatcapacity of a system of harmonic oscillators as a function of temperature. Assume

...

Page 162

In order to illustrate the application of the MC technique, we shall show how to

convenient to introduce the quantity fc = N^/2N, which is the fraction of spin pairs

that ...

In order to illustrate the application of the MC technique, we shall show how to

**calculate**the average energy per spin in the Ising model. For this purpose, it isconvenient to introduce the quantity fc = N^/2N, which is the fraction of spin pairs

that ...

Page 280

Use all this information to

over the barrier. 3.

limit ...

**Calculate**the barrier height, the well and the barrier frequencies, respectively.Use all this information to

**calculate**the TST rate for the escape from the left wellover the barrier. 3.

**Calculate**the rate coefficient in the Kramers high-dampinglimit ...

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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