# Realizing Boltzmann's dream: computer simulations in modern statistical mechanics

@inproceedings{Dellago2008RealizingBD, title={Realizing Boltzmann's dream: computer simulations in modern statistical mechanics}, author={C. Dellago and H. Posch}, year={2008} }

Today, computer simulations belong to the most important and powerful theoretical tools for the investigation of statistical mechanical systems particularly in the field of condensed matter. Many simulation methods may directly, or indirectly, be traced back to ideas of Ludwig Boltzmann or are used to carry on the program he had envisioned. Using several illustrative examples, we discuss the role of computer simulation in modern statistical mechanics and, in particular, its relation to… Expand

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#### References

SHOWING 1-10 OF 186 REFERENCES

Ludwig Boltzmann. The Man Who Trusted Atoms

- Physics
- 1999

Although Boltzmann belongs among the most influential scientists of the 19th and 20th centuries, when physics became the fundamental science describing nature, there does not yet exist a detailed… Expand

Time Reversibility, Computer Simulation, And Chaos

- Computer Science
- 1999

Describes the work of physicists, chemists, mathematicians, and engineers who are attacking the classic problem of the reversibility paradox, describing their work from the perspective of computer… Expand

Molecular Gas Dynamics and the Direct Simulation of Gas Flows

- Chemistry
- 1994

The direct simulation Monte Carlo (or DSMC) method has, in recent years, become widely used in engineering and scientific studies of gas flows that involve low densities or very small physical… Expand

A Guide to Monte Carlo Simulations in Statistical Physics - 2nd Edition

- Physics, Computer Science
- 2000

This chapter discusses Monte Carlo simulations at the periphery of physics and beyond, as well as other methods of computer simulation, and Monte Carlo studies of biological molecules. Expand

The Lattice Boltzmann Equation for Fluid Dynamics and Beyond

- Physics
- 2001

1. Kinetic Theory 2. Lattice Gas Cellular Automata 3. Lattice Boltzmann models with underlying Boolean microdynamics 4. Lattice Boltzmann models without underlying Boolean microdynamics 5. Lattic… Expand

Statistical Mechanics of Nonequilibrium Liquids

- Physics
- 2008

1. Introduction 2. Linear irreversible thermodynamics 3. The microscopic connection 4. The Green-Kubo relations 5. Linear response theory 6. Computer simulation algorithms 7. Nonlinear response… Expand

NONEQUILIBRIUM MOLECULAR DYNAMICS OF CLASSICAL FLUIDS

- Mathematics
- 1992

Nonequilibrium systems in thermodynamic steady states can be studied by computer simulation, and the calculated transport coefficients are in agreement with results obtained by equilibrium methods.… Expand

Physics Today.

- Medicine
- Applied optics
- 1966

Using a combination of x-ray diffraction and electron diffraction, the scientists produced a three-dimensional map of the hybridized "orbital hole" bonding copper with neighboring oxygen atoms in cuprite (Cu2O). Expand

Stochastic processes in physics and chemistry

- Physics
- 1981

Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master… Expand

Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology. Volume 2 (Lecture Notes in Physics)

- Physics, Engineering
- 2006

Computer Simulation of Supercooled Liquids: W. Kob.- Numerical Simulations of Spin Glasses: Methods And Some Recent Results: A.P. Young.- Dipolar Fluctuations in the Bulk and at Interfaces: V.… Expand