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Our method satisfies the detailed balance condition in the proposed route.
We prove that our method fulfills the balance condition, and provide a numerical simulation.
Discussion is also given on a heat generation and loss balance condition.
However, the net elastic strain integrated over all the grains vanishes due to the stress balance condition and the assumed uniform elastic constant32.
We show that a modified detailed balance condition can be used to implement GHMC without momentum flips.
To study a model of enhanced generality, we remove both the detailed balance condition and the strong mixing condition.
The standard detailed balance condition requires that momenta are negated upon rejection of a molecular dynamics proposal step.
We find that equilibrium fluid systems with time reversibility are characterized by a detailed balance constraint that quantifies the detailed balance condition.
Most MCMC algorithms make use of chains that satisfy the detailed balance condition with respect to π; such chains are therefore reversible.
The detailed balance condition used to justify the algorithm still holds with this procedure, provided the start state is randomly positioned within its window.
To account for thermal fluctuations, we introduce a discrete fluctuation dissipation balance condition to develop compatible stochastic driving fields for our discretization.
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