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## Dissipative dynamics within stochastic mean-field approach

#### İbrahim ULGEN [1] , Bulent YILMAZ [2]

The time-dependent Hartree-Fock (TDHF) and density functional theory (DFT) are among the most useful approaches within mean-field theories for studying static and dynamic properties of complex many-body systems in different branches of physics. Despite the fact that they provide a good approximation for the average properties of one-body degrees of freedoms, they are known to fail to include quantal fluctuations of collective observables and they do not provide sufficient dissipation of collective motion. In order to incorporate these missing effects the stochastic mean-field (SMF) approach was proposed (Ayik 2008). In the SMF approach a set of stochastic initial one-body densities are evolved. Each stochastic one-body density matrix consists of a set of stochastic Gaussian random numbers that satisfy the first and second moments of collective one-body observables. Recent works indicate that the SMF approach provides a good description of the dynamics of the nuclear systems (Yilmaz et al. 2018; Ayik et al. 2019). In this work, the one-dimensional Fermi-Hubbard model is simulated with the SMF approach by using different distributions such as Gaussian, uniform, bimodal and two-point distributions. The dissipative dynamics are discussed and the predictive power of the SMF approach with different probability distributions are compared with each other and the exact dynamics. As a result it is shown that by considering different distributions, the predictive power of the SMF approach can be improved.

Mean-Field, Stochastic Mean-Field, Fluctuation, Dissipation, The Fermi-Hubbard Model
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Birincil Dil en Fen Articles Yazar: İbrahim ULGEN (Sorumlu Yazar)Kurum: ANKARA UNIVERSITYÜlke: Turkey Yazar: Bulent YILMAZ Kurum: ANKARA UNIVERSITYÜlke: Turkey TUBITAK 2211-A This work was supported in part by the Scientific and Technological Research Council of Turkey (TUBITAK). Yayımlanma Tarihi : 27 Aralık 2019
 Bibtex @konferans bildirisi { beuscitech633558, journal = {Bitlis Eren University Journal of Science and Technology}, issn = {}, eissn = {2146-7706}, address = {}, publisher = {Bitlis Eren Üniversitesi}, year = {2019}, volume = {9}, pages = {104 - 108}, doi = {10.17678/beuscitech.633558}, title = {Dissipative dynamics within stochastic mean-field approach}, key = {cite}, author = {ULGEN, İbrahim and YILMAZ, Bulent} } APA ULGEN, İ , YILMAZ, B . (2019). Dissipative dynamics within stochastic mean-field approach. Bitlis Eren University Journal of Science and Technology , 9 (2) , 104-108 . DOI: 10.17678/beuscitech.633558 MLA ULGEN, İ , YILMAZ, B . "Dissipative dynamics within stochastic mean-field approach". Bitlis Eren University Journal of Science and Technology 9 (2019 ): 104-108 Chicago ULGEN, İ , YILMAZ, B . "Dissipative dynamics within stochastic mean-field approach". Bitlis Eren University Journal of Science and Technology 9 (2019 ): 104-108 RIS TY - JOUR T1 - Dissipative dynamics within stochastic mean-field approach AU - İbrahim ULGEN , Bulent YILMAZ Y1 - 2019 PY - 2019 N1 - doi: 10.17678/beuscitech.633558 DO - 10.17678/beuscitech.633558 T2 - Bitlis Eren University Journal of Science and Technology JF - Journal JO - JOR SP - 104 EP - 108 VL - 9 IS - 2 SN - -2146-7706 M3 - doi: 10.17678/beuscitech.633558 UR - https://doi.org/10.17678/beuscitech.633558 Y2 - 2019 ER - EndNote %0 Bitlis Eren University Journal of Science and Technology Dissipative dynamics within stochastic mean-field approach %A İbrahim ULGEN , Bulent YILMAZ %T Dissipative dynamics within stochastic mean-field approach %D 2019 %J Bitlis Eren University Journal of Science and Technology %P -2146-7706 %V 9 %N 2 %R doi: 10.17678/beuscitech.633558 %U 10.17678/beuscitech.633558 ISNAD ULGEN, İbrahim , YILMAZ, Bulent . "Dissipative dynamics within stochastic mean-field approach". Bitlis Eren University Journal of Science and Technology 9 / 2 (Aralık 2019): 104-108 . https://doi.org/10.17678/beuscitech.633558 AMA ULGEN İ , YILMAZ B . Dissipative dynamics within stochastic mean-field approach. Bitlis Eren University Journal of Science and Technology. 2019; 9(2): 104-108. Vancouver ULGEN İ , YILMAZ B . Dissipative dynamics within stochastic mean-field approach. Bitlis Eren University Journal of Science and Technology. 2019; 9(2): 108-104.

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