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Pregled bibliografske jedinice broj: 1052521

Instanton theory of ground-state tunneling splittings with general paths


Eraković, Mihael; Vaillant, Christophe L.; Cvitaš, Marko T.
Instanton theory of ground-state tunneling splittings with general paths // The Journal of chemical physics, 152 (2020), 8; 084111, 13 doi:10.1063/1.5145278 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1052521 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Instanton theory of ground-state tunneling splittings with general paths

Autori
Eraković, Mihael ; Vaillant, Christophe L. ; Cvitaš, Marko T.

Izvornik
The Journal of chemical physics (0021-9606) 152 (2020), 8; 084111, 13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
instanton theory ; tunneling splittings ; path-integral methods ; quantum molecular dynamics ; rovibrational states

Sažetak
We derive a multidimensional instanton theory for calculating ground-state tunneling splittings in Cartesian coordinates for general paths. It is an extension of the method by Mil’nikov and Nakamura [J. Chem. Phys. 115, 6881 (2001)] to include asymmetric paths that are necessary for calculating tunneling splitting patterns in multi- well systems, such as water clusters. The approach avoids multiple expensive matrix diagonalizations to converge the fluctuation prefactor in the ring- polymer instanton (RPI) method, and instead replaces them by an integration of a Riccati differential equation. When combined with the string method for locating instantons, we avoid the need to converge the calculation with respect to the imaginary time period of the semiclassical orbit, thereby reducing the number of convergence parameters of the optimized object to just one: the number of equally spaced system replicas used to represent the instanton path. The entirety of the numerical effort is thus concentrated in optimizing the shape of the path and evaluating hessians along the path, which is a dramatic improvement over RPI. In addition to the standard instanton approximations, we neglect the coupling of vibrational modes to external rotations. The method is tested on the model potential of malonaldehyde and on the water dimer and trimer, giving close agreement with RPI at a much-reduced cost.

Izvorni jezik
Engleski

Znanstvena područja
Kemija



POVEZANOST RADA


Projekti:
HRZZ-IP-2014-09-7540 - Novo poglavlje u procesima prijenosa naboja u vodenim otopinama (CTPAMR) (Ljubić, Ivan, HRZZ - 2014-09) ( CroRIS)
HRZZ-IP-2016-06-1142 - Svjetlo na molekulama: istraživanje spregnute elektronske i nuklearne dinamike (LightMol) (Došlić, Nađa, HRZZ - 2016-06) ( CroRIS)

Ustanove:
Institut "Ruđer Bošković", Zagreb

Citiraj ovu publikaciju:

Eraković, Mihael; Vaillant, Christophe L.; Cvitaš, Marko T.
Instanton theory of ground-state tunneling splittings with general paths // The Journal of chemical physics, 152 (2020), 8; 084111, 13 doi:10.1063/1.5145278 (međunarodna recenzija, članak, znanstveni)
Eraković, M., Vaillant, C. & Cvitaš, M. (2020) Instanton theory of ground-state tunneling splittings with general paths. The Journal of chemical physics, 152 (8), 084111, 13 doi:10.1063/1.5145278.
@article{article, author = {Erakovi\'{c}, Mihael and Vaillant, Christophe L. and Cvita\v{s}, Marko T.}, year = {2020}, pages = {13}, DOI = {10.1063/1.5145278}, chapter = {084111}, keywords = {instanton theory, tunneling splittings, path-integral methods, quantum molecular dynamics, rovibrational states}, journal = {The Journal of chemical physics}, doi = {10.1063/1.5145278}, volume = {152}, number = {8}, issn = {0021-9606}, title = {Instanton theory of ground-state tunneling splittings with general paths}, keyword = {instanton theory, tunneling splittings, path-integral methods, quantum molecular dynamics, rovibrational states}, chapternumber = {084111} }
@article{article, author = {Erakovi\'{c}, Mihael and Vaillant, Christophe L. and Cvita\v{s}, Marko T.}, year = {2020}, pages = {13}, DOI = {10.1063/1.5145278}, chapter = {084111}, keywords = {instanton theory, tunneling splittings, path-integral methods, quantum molecular dynamics, rovibrational states}, journal = {The Journal of chemical physics}, doi = {10.1063/1.5145278}, volume = {152}, number = {8}, issn = {0021-9606}, title = {Instanton theory of ground-state tunneling splittings with general paths}, keyword = {instanton theory, tunneling splittings, path-integral methods, quantum molecular dynamics, rovibrational states}, chapternumber = {084111} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus
  • MEDLINE


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