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Journal articles on the topic 'Energy functional'

To see the other types of publications on this topic, follow the link: Energy functional.

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2023

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1

Mi, Wenhui, Alessandro Genova, and Michele Pavanello. "Nonlocal kinetic energy functionals by functional integration." Journal of Chemical Physics 148, no. 18 (May 14, 2018): 184107. http://dx.doi.org/10.1063/1.5023926.

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2

Read, James. "Functional Gravitational Energy." British Journal for the Philosophy of Science 71, no. 1 (March 1, 2020): 205–32. http://dx.doi.org/10.1093/bjps/axx048.

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3

Yan, Xiaoqing, Xinting Huang, and Shengyu Wu. "Energy Revolution Path Based on Main Functional Region Planning." Journal of Clean Energy Technologies 5, no. 3 (May 2017): 263–67. http://dx.doi.org/10.18178/jocet.2017.5.3.380.

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4

Hyun, Jin-Woo, and Dong-Un Yeom. "Equipment Importance Classification of Nuclear Power Plants Using Functional Based System." Journal of Energy Engineering 20, no. 3 (September 30, 2011): 200–208. http://dx.doi.org/10.5855/energy.2011.20.3.200.

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5

Andriotis, Antonis N. "LDA exchange-energy functional." Physical Review B 58, no. 23 (December 15, 1998): 15300–15303. http://dx.doi.org/10.1103/physrevb.58.15300.

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6

Saura-Muzquiz, Matilde, and Mogens Christensen. "Functional and Energy Materials." Neutron News 27, no. 1 (January 2, 2016): 7. http://dx.doi.org/10.1080/10448632.2016.1125261.

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7

Koures, Antonios G., and Frank E. Harris. "Improved correlation energy functional." International Journal of Quantum Chemistry 59, no. 1 (1996): 3–6. http://dx.doi.org/10.1002/(sici)1097-461x(1996)59:1<3::aid-qua1>3.0.co;2-1.

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8

Sim, Eunji, Joe Larkin, Kieron Burke, and Charles W. Bock. "Testing the kinetic energy functional: Kinetic energy density as a density functional." Journal of Chemical Physics 118, no. 18 (May 8, 2003): 8140–48. http://dx.doi.org/10.1063/1.1565316.

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9

Gambin, B., and W. Bielski. "Incompressible limit for a magnetostrictive energy functional." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 4 (December 1, 2013): 1025–30. http://dx.doi.org/10.2478/bpasts-2013-0110.

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Abstract The modern materials undergoing large elastic deformations and exhibiting strong magnetostrictive effect are modelled here by free energy functionals for nonlinear and non-local magnetoelastic behaviour. The aim of this work is to prove a new theorem which claims that a sequence of free energy functionals of slightly compressible magnetostrictive materials with a non-local elastic behaviour, converges to an energy functional of a nearly incompressible magnetostrictive material. This convergence is referred to as a Γ -convergence. The non-locality is limited to non-local elastic behaviour which is modelled by a term containing the second gradient of deformation in the energy functional.

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10

Ludeña, E. V., R. López-Boada, and R. Pino. "Approximate kinetic energy density functionals generated by local-scaling transformations." Canadian Journal of Chemistry 74, no. 6 (June 1, 1996): 1097–105. http://dx.doi.org/10.1139/v96-123.

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Different stages in the development of density functional theory are succinctly reviewed for the purpose of tracing the origin of the local-scaling transformation version of density functional theory. Explicit kinetic energy functionals are generated within this theory. These functionals are analyzed in terms of several approximations to the local-scaling function and are applied to a few selected first-row atoms. Key words: density functional theory, kinetic energy density functionals, local-scaling transformations, explicit kinetic energy functionals, kinetic energy of first-row atoms.

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11

Ramachandran, B. "Scaling Dynamical Correlation Energy from Density Functional Theory Correlation Functionals†." Journal of Physical Chemistry A 110, no. 2 (January 2006): 396–403. http://dx.doi.org/10.1021/jp050584x.

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12

Weiner, B., and S. B. Trickey. "State energy functionals and variational equations in density functional theory." Journal of Molecular Structure: THEOCHEM 501-502 (April 2000): 65–83. http://dx.doi.org/10.1016/s0166-1280(99)00415-7.

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13

Baumann, G., and R. Duscher. "The Functional Equations for the Kinetic and Exchange Energy Functionals." physica status solidi (b) 158, no. 2 (April 1, 1990): 573–87. http://dx.doi.org/10.1002/pssb.2221580219.

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14

Prasankumar, Thibeorchews, Sujin Jose, Pulickel M. Ajayan, and Meiyazhagan Ashokkumar. "Functional carbons for energy applications." Materials Research Bulletin 142 (October 2021): 111425. http://dx.doi.org/10.1016/j.materresbull.2021.111425.

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15

Devan, Rupesh S., Yuan-Ron Ma, Jin-Hyeok Kim, Raghu N. Bhattacharya, and Kartik C. Ghosh. "Functional Nanomaterials for Energy Applications." Journal of Nanomaterials 2015 (2015): 1–2. http://dx.doi.org/10.1155/2015/131965.

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16

Furnstahl, R. J., and James C. Hackworth. "Skyrme energy functional and naturalness." Physical Review C 56, no. 5 (November 1, 1997): 2875–78. http://dx.doi.org/10.1103/physrevc.56.2875.

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17

Mattsson, Ann E., and Walter Kohn. "An energy functional for surfaces." Journal of Chemical Physics 115, no. 8 (August 22, 2001): 3441–43. http://dx.doi.org/10.1063/1.1396649.

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18

Chung, T. C. Mike. "Functional Polyolefins for Energy Applications." Macromolecules 46, no. 17 (August 13, 2013): 6671–98. http://dx.doi.org/10.1021/ma401244t.

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19

Harriman, John E. "A kinetic energy density functional." Journal of Chemical Physics 83, no. 12 (December 15, 1985): 6283–87. http://dx.doi.org/10.1063/1.449578.

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20

Campbell, Loudon, and F. A. Matsen. "The Ising free-energy functional." International Journal of Quantum Chemistry 59, no. 5 (1996): 391–400. http://dx.doi.org/10.1002/(sici)1097-461x(1996)59:5<391::aid-qua3>3.0.co;2-t.

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21

Xu, Terry T., and Jung-Kun Lee. "Functional Nanomaterials: Energy and Sensing." JOM 68, no. 4 (February 16, 2016): 1143–44. http://dx.doi.org/10.1007/s11837-016-1839-8.

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22

Medvedev, Michael G., Ivan S. Bushmarinov, Jianwei Sun, John P. Perdew, and Konstantin A. Lyssenko. "Density functional theory is straying from the path toward the exact functional." Science 355, no. 6320 (January 5, 2017): 49–52. http://dx.doi.org/10.1126/science.aah5975.

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The theorems at the core of density functional theory (DFT) state that the energy of a many-electron system in its ground state is fully defined by its electron density distribution. This connection is made via the exact functional for the energy, which minimizes at the exact density. For years, DFT development focused on energies, implicitly assuming that functionals producing better energies become better approximations of the exact functional. We examined the other side of the coin: the energy-minimizing electron densities for atomic species, as produced by 128 historical and modern DFT functionals. We found that these densities became closer to the exact ones, reflecting theoretical advances, until the early 2000s, when this trend was reversed by unconstrained functionals sacrificing physical rigor for the flexibility of empirical fitting.

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23

GÁL, TAMÁS. "TREATMENTS OF THE EXCHANGE ENERGY IN DENSITY-FUNCTIONAL THEORY." International Journal of Modern Physics B 22, no. 14 (June 10, 2008): 2225–39. http://dx.doi.org/10.1142/s0217979208039344.

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Following a recent work [Gál, Phys. Rev. A64, 062503 (2001)], a simple derivation of the density-functional correction of the Hartree–Fock equations, the Hartree–Fock–Kohn–Sham equations, is presented, completing an integrated view of quantum mechanical theories, in which the Kohn–Sham equations, the Hartree–Fock–Kohn–Sham equations and the ground-state Schrödinger equation formally stem from a common ground: density-functional theory, through its Euler equation for the ground-state density. Along similar lines, the Kohn–Sham formulation of the Hartree–Fock approach is also considered. Further, it is pointed out that the exchange energy of density-functional theory built from the Kohn–Sham orbitals can be given by degree-two homogeneous N-particle density functionals (N = 1, 2, …), forming a sequence of degree-two homogeneous exchange-energy density functionals, the first element of which is minus the classical Coulomb-repulsion energy functional.

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24

Sharma, Prachi, Jie J. Bao, Donald G. Truhlar, and Laura Gagliardi. "Multiconfiguration Pair-Density Functional Theory." Annual Review of Physical Chemistry 72, no. 1 (April 20, 2021): 541–64. http://dx.doi.org/10.1146/annurev-physchem-090419-043839.

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Kohn-Sham density functional theory with the available exchange–correlation functionals is less accurate for strongly correlated systems, which require a multiconfigurational description as a zero-order function, than for weakly correlated systems, and available functionals of the spin densities do not accurately predict energies for many strongly correlated systems when one uses multiconfigurational wave functions with spin symmetry. Furthermore, adding a correlation functional to a multiconfigurational reference energy can lead to double counting of electron correlation. Multiconfiguration pair-density functional theory (MC-PDFT) overcomes both obstacles, the second by calculating the quantum mechanical part of the electronic energy entirely by a functional, and the first by using a functional of the total density and the on-top pair density rather than the spin densities. This allows one to calculate the energy of strongly correlated systems efficiently with a pair-density functional and a suitable multiconfigurational reference function. This article reviews MC-PDFT and related background information.

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25

DOBSON, J. F. "ELECTRON DENSITY FUNCTIONAL THEORY." International Journal of Modern Physics B 13, no. 05n06 (March 10, 1999): 511–23. http://dx.doi.org/10.1142/s0217979299000412.

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A brief summary is given of electronic density functional theory, including recent developments: generalized gradient methods, hybrid functionals, time dependent density functionals and excited states, van der Waals energy functionals.

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26

Yang, Weitao, and John E. Harriman. "Analysis of the kinetic energy functional in density functional theory." Journal of Chemical Physics 84, no. 6 (March 15, 1986): 3320–23. http://dx.doi.org/10.1063/1.450265.

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27

Yin, Wan-Jian, and Xin-Gao Gong. "Hybridized kinetic energy functional for orbital-free density functional method." Physics Letters A 373, no. 4 (January 2009): 480–83. http://dx.doi.org/10.1016/j.physleta.2008.11.057.

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28

Isobe, Takeshi. "Energy estimate, energy gap phenomenon, and relaxed energy for Yang-Mills functional." Journal of Geometric Analysis 8, no. 1 (January 1998): 43–64. http://dx.doi.org/10.1007/bf02922108.

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29

Gil, H., P. Papakonstantinou, C. H. Hyun, T. S. Park, and Y. Oh. "Nuclear Energy Density Functional for KIDS." Acta Physica Polonica B 48, no. 3 (2017): 305. http://dx.doi.org/10.5506/aphyspolb.48.305.

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30

Kelarakis, Antonios. "Functional Nanomaterials For Energy And Sustainability." Advanced Materials Letters 5, no. 5 (May 1, 2014): 236–41. http://dx.doi.org/10.5185/amlett.2014.amwc1026.

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31

ITOH, Yasuhiko, Masayoshi UNO, Hisao OJIMA, Shunsuke UCHIDA, Shinsuke YAMANAKA, Yukio WADA, Kensho FUJI, et al. "Nuclear Energy Systems and Functional Materials." Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan 40, no. 5 (1998): 343–62. http://dx.doi.org/10.3327/jaesj.40.343.

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32

Bellettini, G., A. De Masi, and E. Presutti. "Energy levels of a nonlocal functional." Journal of Mathematical Physics 46, no. 8 (August 2005): 083302. http://dx.doi.org/10.1063/1.1990107.

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33

Ebert, H. P. "Functional materials for energy-efficient buildings." EPJ Web of Conferences 98 (2015): 08001. http://dx.doi.org/10.1051/epjconf/20159808001.

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34

Li, LU. "Functional materials for electrochemical energy storage." Materials Technology 29, sup4 (November 2014): A57—A58. http://dx.doi.org/10.1179/1066785714z.000000000304.

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35

Lesinski, T., T. Duguet, K. Bennaceur, and J. Meyer. "Non-empirical pairing energy density functional." European Physical Journal A 40, no. 2 (April 30, 2009): 121–26. http://dx.doi.org/10.1140/epja/i2009-10780-y.

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36

Chen, Ming, Roi Baer, Daniel Neuhauser, and Eran Rabani. "Energy window stochastic density functional theory." Journal of Chemical Physics 151, no. 11 (September 21, 2019): 114116. http://dx.doi.org/10.1063/1.5114984.

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37

Nesbet, R. K. "Kinetic energy in density-functional theory." Physical Review A 58, no. 1 (July 1, 1998): R12—R15. http://dx.doi.org/10.1103/physreva.58.r12.

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38

Read, A. J., and R. J. Needs. "Tests of the Harris energy functional." Journal of Physics: Condensed Matter 1, no. 41 (October 16, 1989): 7565–76. http://dx.doi.org/10.1088/0953-8984/1/41/007.

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39

Anero, J. G., and P. Español. "Dynamic Boltzmann free-energy functional theory." Europhysics Letters (EPL) 78, no. 5 (May 22, 2007): 50005. http://dx.doi.org/10.1209/0295-5075/78/50005.

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40

Levy, Mel, and Andreas Görling. "Approach to density-functional ionization energy." Physical Review B 53, no. 3 (January 15, 1996): 969–72. http://dx.doi.org/10.1103/physrevb.53.969.

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41

Liang, Yu-Xia, and Rongwei Yang. "Energy functional of the Volterra operator." Banach Journal of Mathematical Analysis 13, no. 2 (April 2019): 255–74. http://dx.doi.org/10.1215/17358787-2018-0029.

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42

López-Boada, R., R. Pino, and E. V. Ludeña. "Locality of the exchange energy functional." Journal of Molecular Structure: THEOCHEM 501-502 (April 2000): 35–38. http://dx.doi.org/10.1016/s0166-1280(99)00411-x.

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43

Zarnikau, Jay. "Functional forms in energy demand modeling." Energy Economics 25, no. 6 (November 2003): 603–13. http://dx.doi.org/10.1016/s0140-9883(03)00043-4.

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44

Liang, Ji, Feng Li, and Hui-Ming Cheng. "Carbons: Multi-functional Energy Storage Materials." Energy Storage Materials 2 (January 2016): A1—A2. http://dx.doi.org/10.1016/j.ensm.2016.01.002.

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45

Chen, Jun, Guang Zhu, Weiqing Yang, Jin Yang, Long Lin, and Yaqing Bie. "Functional Nanomaterials for Sustainable Energy Technologies." Journal of Nanomaterials 2016 (2016): 1–2. http://dx.doi.org/10.1155/2016/2606459.

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46

Dimitrova, S. S., I. Zh Petkov, and M. V. Stoitsov. "A rigorous energy density functional approach." Zeitschrift f�r Physik A Atomic Nuclei 325, no. 1 (March 1986): 15–26. http://dx.doi.org/10.1007/bf01294238.

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47

Dasi, Lakshmi P., Kerem Pekkan, Hiroumi D. Katajima, and Ajit P. Yoganathan. "Functional analysis of Fontan energy dissipation." Journal of Biomechanics 41, no. 10 (July 2008): 2246–52. http://dx.doi.org/10.1016/j.jbiomech.2008.04.011.

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48

Ammann, Bernd, Hartmut Weiss, and Frederik Witt. "The spinorial energy functional on surfaces." Mathematische Zeitschrift 282, no. 1-2 (September 28, 2015): 177–202. http://dx.doi.org/10.1007/s00209-015-1537-1.

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49

Ghosh, Swapan K. "Energy derivatives in density-functional theory." Chemical Physics Letters 172, no. 1 (August 1990): 77–82. http://dx.doi.org/10.1016/0009-2614(90)87220-l.

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50

Zhou, Baojing, and Yan Alexander Wang. "An accurate total energy density functional." International Journal of Quantum Chemistry 107, no. 15 (2007): 2995–3000. http://dx.doi.org/10.1002/qua.21471.

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