# Microscopic reversibility and macroscopic behavior: Physical explanatoins and mathematical derivations

@article{Lebowitz1995MicroscopicRA, title={Microscopic reversibility and macroscopic behavior: Physical explanatoins and mathematical derivations}, author={Joel L Lebowitz}, journal={arXiv: Condensed Matter}, year={1995}, pages={1-20} }

The observed general tune-asymmetric behavior of macroscopic systems—embodied in the second law of thermodynainics—arises naturally from time-symmetric microscopic laws due to the great disparity between macro and inicro-scales. More specific features of macroscopic evolution depend on the nature of the microscopic dynamics. In particular, short range interactions with good mixing properties lead, for simple systems, to the quantitative description of such evolutions by means of autonomous…

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## References

SHOWING 1-10 OF 62 REFERENCES

9. The Kinetic Theory of the Dissipation of Energy

- Engineering
- 1875

In abstract dynamics the instantaneous reversal of the motion of every moving particle of a system causes the system to move backwards, each particle of it along its old path, and at the same speed…

Molecular dynamics and time reversibility

- Physics
- 1993

We present a time-symmetrical integer arithmetic algorithm for numerical (molecular dynamics) simulations of classical fluids. This algorithm is used to illustrate, through concrete examples, that…

Quantum equilibrium and the origin of absolute uncertainty

- Physics
- 1992

The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from…

Large Scale Dynamics of Interacting Particles

- Physics
- 1991

Scales.- Outline.- I Classical Particles.- 1. Dynamics.- 1.1 Newtonian Dynamics.- 1.2 Boundary Conditions.- 1.3 Dynamics of Infinitely Many Particles.- 2. States of Equilibrium and Local…

The Character of Physical Law

- Physics
- 1965

In these Messenger Lectures, originally delivered at Cornell University and recorded for television by the BBC, Richard Feynman offers an overview of selected physical laws and gathers their common…

Tait's “Thermodynamics”

- HistoryNature
- 1878

THIS book, as we are told in the preface, has grown out of two articles contributed in 1864 by Prof. Tait to the North British Review. This journal, about that time, inserted a good many articles in…

Chance and Chaos

- Physics
- 1991

Chance probabilities mathematics and physics probabilities lotteries and horoscopes classical determinism games sensitive dependence on initial condition Hadamard, Duhem and Poincare turbulence -…

On the time evolution of macroscopic systems

- Mathematics
- 1983

Autodiffusion a basse densite et theoreme de Lanford. Correlations dans l'etat initial. Auto-diffusion a densite finie. Le gaz de Lorentz et le theoreme de Bunimovich et Sinai