## 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 19

Let us fix the

system is isolated, its energy is a constant, say Ec, which restricts the allowed

values of xi and p,. For a given set of {jc,} and {p,} from this constant-energy-

restricted ...

Let us fix the

**number of particles**at N and the volume of the system at V. If thesystem is isolated, its energy is a constant, say Ec, which restricts the allowed

values of xi and p,. For a given set of {jc,} and {p,} from this constant-energy-

restricted ...

Page 30

If the limit N — > oo and V — > oo is taken in a given system with reasonably well

-behaved interactions, the following results are found: • All the extensive

quantities of the system go to infinity proportionally to the

the ...

If the limit N — > oo and V — > oo is taken in a given system with reasonably well

-behaved interactions, the following results are found: • All the extensive

quantities of the system go to infinity proportionally to the

**number of particles**. • Allthe ...

Page 150

In fact, many tricks are used to reduce the

why there are so many forces present in a molecular dynamics simulation, just

consider that each

In fact, many tricks are used to reduce the

**number**of force evaluations. To seewhy there are so many forces present in a molecular dynamics simulation, just

consider that each

**particle**interacts with all the others, so that N(N — l)/2 force ...### What people are saying - Write a review

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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