Результаты исследований: Научные публикации в периодических изданиях › статья
Calculation of canonical properties of a quantum system by path integral numerical methods. / Voznesenskiy, M.A.; Vorontsov-Velyaminov, P.N.
в: Contributions to Plasma Physics, Том 53, № 4-5, 2013, стр. 270-275.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Calculation of canonical properties of a quantum system by path integral numerical methods
AU - Voznesenskiy, M.A.
AU - Vorontsov-Velyaminov, P.N.
PY - 2013
Y1 - 2013
N2 - We propose a new approach in obtaining the partition function of a system of several interacting particles (fermions) in external field within path integral Monte Carlo method based on direct averaging of the exchange contributions over the positive weight determined by non-closed trajectories. This procedure is performed at fixed temperatures, ranging to rather low values. The complete partition function for each temperature is then obtained within an expanded ensemble procedure. We found a good agreement of data obtained by the new method with results of previously proposed path-integral-expanded-ensemble Monte Carlo calculations [1, 2]. The new approach allows to reach observably lower temperatures compared to method [1, 2], thus providing a significant reduce of the sign problem. It yields an independent way to treat thermal properties of quantum systems, so the good agreement with previous data [1, 2] allows us to test and state the validity of both approaches. Simulations for systems of 2 up to 5 non-in
AB - We propose a new approach in obtaining the partition function of a system of several interacting particles (fermions) in external field within path integral Monte Carlo method based on direct averaging of the exchange contributions over the positive weight determined by non-closed trajectories. This procedure is performed at fixed temperatures, ranging to rather low values. The complete partition function for each temperature is then obtained within an expanded ensemble procedure. We found a good agreement of data obtained by the new method with results of previously proposed path-integral-expanded-ensemble Monte Carlo calculations [1, 2]. The new approach allows to reach observably lower temperatures compared to method [1, 2], thus providing a significant reduce of the sign problem. It yields an independent way to treat thermal properties of quantum systems, so the good agreement with previous data [1, 2] allows us to test and state the validity of both approaches. Simulations for systems of 2 up to 5 non-in
KW - Expanded ensembles
KW - Monte Carlo
KW - Path-integral
KW - Quantum statistics
U2 - 10.1002/ctpp.201200092
DO - 10.1002/ctpp.201200092
M3 - Article
VL - 53
SP - 270
EP - 275
JO - Contributions to Plasma Physics
JF - Contributions to Plasma Physics
SN - 0863-1042
IS - 4-5
ER -
ID: 7396271