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Results tagged with statistical-mechanics
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user 138176
The study of large, complicated systems employing statistics and probability theory to extract average properties and to provide a connection between mechanics and thermodynamics.
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Why all energies have the same contribution in statistics of a system?
Consider a quantum system with discrete states say $\left|E_n\right>$. If one wants to write the partition function for a bunch of similar systems, they would sum the terms $e^{-\beta E_n}$. The point …
- 533
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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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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!
I read on a book that the system of two or more independent harmonic oscillators in classical mechanics is not ergodic. I want to know why a harmonic oscillator is actually ergodic but two or more one …
- 533