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Results tagged with ergodicity
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user 138176
A system is said to be ergodic if time averages are, for a sufficient long time, equivalent to phase space averages. This "ergodic hypothesis" is taken by many authors as the foundation of statistical mechanics.
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Why does the Coarse-grained Entropy increase?
It is a simple fact the entropy in the exact meaning in dynamical system does not change over time if the system is measure-preserving and ergodic. However, it is often said that the coarse-grained en …
- 533
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answer
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Thermalization in Classical Mechanics: A Paradox
I was wondering to know whether there is any argument shows how a classical system (a system with a Hamiltonian and Poisson bracket) approaches its equilibrium and how the entropy increases. Newton's …
- 533
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Two Independent Harmonic Oscillators is NOT Ergodic!
Is it related to this fact that the phase space of two independent harmonic oscillators is the product $M \times M$ and each one's ergodicity does not force the whole ergodicity? …
- 533