The Monte Carlo simulation of a microcanonical ensemble thus requires sampling different microscopic states with the same energy.
2.
As usual, these thermodynamic operations are conducted in total ignorance of the microscopic states of the systems.
3.
The microcanonical ensemble is a collection of microscopic states which have fixed energy, volume and number of particles.
4.
To talk about temperature you must have a collection of microscopic states lumped together in one macroscopic state so that entropy can be defined.
5.
In Boltzmann's definition, entropy is a measure of the number of possible microscopic states ( or microstates ) of a system in thermodynamic equilibrium.
6.
In this case the change is accepted, otherwise the randomly chosen change in velocity is rejected and the algorithm is restarted from the original microscopic state.
7.
Assuming that a particular system approaches all possible states over very long times ( quasi-ergodicity ), the resulting Monte Carlo dynamics realistically sample microscopic states that correspond to the given energy value.
8.
In its solvent, the ideal chain is constantly subject to shocks from moving solvent molecules, and each of these shocks sends the system from its current microscopic state to another, very similar microscopic state.
9.
In its solvent, the ideal chain is constantly subject to shocks from moving solvent molecules, and each of these shocks sends the system from its current microscopic state to another, very similar microscopic state.
10.
More particularly, it is characteristic of macroscopic thermodynamics that the probability vanishes, that the splitting operation occurs at an instant when system is in the kind of extreme transient microscopic state envisaged by the Poincar?recurrence argument.
