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A multiscale integrator for the infinite swapping limit is also proposed to enable efficient sampling based on the limiting dynamics.
To accelerate the thermal equilibrium sampling of multi-level quantum systems, the infinite swapping limit of a recently proposed multi-level ring polymer representation is investigated.
The effective equation for the replica alone that arises in this infinite swapping limit simply involves replacing the original potential by a mixture potential.
This formulation is shown to facilitate the analysis of the convergence properties of parallel tempering by large deviation theory, which indicates that the method should be operated in the infinite swapping limit to maximize sampling efficiency.
Lu, J; Vanden-Eijnden, E, Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit, Journal of Statistical Physics, vol. 174 no. 3 (February, 2019), pp. 715-733 [abs] [abs].
In the infinite swapping limit, the ring polymer evolves according to an averaged Hamiltonian with respect to all possible surface index configurations of the ring polymer and thus connects the surface hopping approach to the mean-field path-integral molecular dynamics.
Finally, similar ideas are also used to discuss extensions of the infinite swapping limits to the technique of simulated tempering.
However, MR-AC images must be controlled for systematic artifacts, like missing tissue and tissue swaps, which limit MR-AC reproducibility.
Swapping also limits choices because the traders have to be swapping regions.
He claimed that credit-default swaps had limited contagion after Argentina's default in November 2001.
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