The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Lattice Boltzmann equation for quantum mechanics
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In the citing paper
“Schemes using this strategy can be found in [, ] and in [] for higher order splittings.”
From Quantum lattice Boltzmann is a quantum walk (2015) · cites this paper as [18]
In the citing paper
“This Dirac QW [4-6] models the + (2 1)-dimensional Dirac equation.”
From The Dirac equation as a quantum walk: higher dimensions, observational convergence (2014) · cites this paper as [4]
Citations
Cites
Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
McNamara, G. R., & Zanetti, G. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2332 · Cited by 2,096
The lattice Boltzmann equation: theory and applications
Benzi, R., Succi, S., & Vergassola, M. (1992) · Physics Reports · doi:10.1016/0370-1573(92)90090-m · Cited by 2,089
Self-citationDodd, J. E., & Gripaios, B. M. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108616270.006 · Cited by 1,098
Boltzmann Approach to Lattice Gas Simulations
Higuera, F. J., & Jiménez, J. L. (1989) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/9/7/009 · Cited by 881
Lattice Gas Models for 3D Hydrodynamics
d’Humières, D., Lallemand, P., & Frisch, U. (1986) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/2/4/006 · Cited by 395
Hyperbolic evolution system for numerical relativity
Bona, C., & Massó, J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1097 · Cited by 101
Dürr, D., & Lazarovici, D. (2020) · Springer eBooks · doi:10.1007/978-3-030-40068-2_11 · Cited by 30
Research works printed but not linked: 3
- Madelung, 1926, Z. Phys., 40, 332
- 1991, Comput. Phys. Commun., 63
- Frisch, 1986, Phys. Rev. Lett., 56, 15
Cited by
Sorted by citations
Lattice Gas Cellular Automata and Lattice Boltzmann Models
Wolf-Gladrow, D. A. (2000) · Lecture notes in mathematics · doi:10.1007/b72010 · Cited by 1,623
From quantum cellular automata to quantum lattice gases
Meyer, D. A. (1996) · Journal of Statistical Physics · doi:10.1007/bf02199356 · Cited by 556
From Quantum Cellular Automata To Quantum Lattice GasesPreprint
Meyer, D., Qca, F., David, Q., & Meyer, A. (1996) · Cited by 502
Lattice Boltzmann model for nonlinear convection-diffusion equations
Shi, B., & Guo, Z. (2009) · Physical Review E · doi:10.1103/physreve.79.016701 · Cited by 274
Colloquium : Role of the H theorem in lattice Boltzmann hydrodynamic simulations
Succi, S., Karlin, I. V., & Chen, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.1203 · Cited by 197
Metadata
- Authors
- Succi, S., & Benzi, R.
- Affiliations
- University of Rome Tor Vergata (IT)
- ORCID
- Benzi, R.
- Venue
- Physica D: Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 1993-12
- Volume
- 69
- Issue
- 3-4
- Pages
- 327-332
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W1999574688
- Cited by
- 217
- References
- 7
- Citations by year
- 2026: 3 · 2025: 9 · 2024: 6 · 2023: 3 · 2022: 8 · 2021: 7 · 2020: 6 · 2019: 17 · 2018: 13 · 2017: 9 · 2016: 13 · 2015: 22 · 2014: 13 · 2013: 8 · 2012: 6
- FWCI
- 2.36
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physica D Nonlinear Phenomena (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Mathematics › Applied Mathematics › Gas Dynamics and Kinetic Theory
- Keywords
- lattice Boltzmann equation, quantum mechanics, non-relativistic quantum mechanics, hydrodynamics, quantum hydrodynamics, kinetic theory
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