Collected Papers of L.D. Landau
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For the mode coupling stages of the process, the problem can be described by analogy with the Landau-Zener model.
“For the mode coupling stages of the process, the problem can be described by analogy with the Landau-Zener (LZ) model [48, 49].”
From Quantisation of the elliptical Penning trap (2021) · cites this paper as [48]
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Highly relativistic nucleus-nucleus collisions: The central rapidity region
Bjorken, J. D. (1983) · Physical Review D · doi:10.1103/physrevd.27.140 · Cited by 2,796 · see citing works
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
Gurtin, M. E. (1996) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(95)00173-5 · Cited by 964 · see citing works
Khomskii, D. I. (2014) · Cambridge University Press eBooks · doi:10.1017/cbo9781139096782 · Cited by 691 · see citing works
Magnetostriction of martensite
James, R. D., & Wuttig, M. R. (1998) · Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties · doi:10.1080/01418619808214252 · Cited by 689 · see citing works
Should All Crystals Be bcc? Landau Theory of Solidification and Crystal Nucleation
Alexander, S., & McTague, J. P. (1978) · Physical Review Letters · doi:10.1103/physrevlett.41.702 · Cited by 601 · see citing works
Amorphous solids: their structure, lattice dynamics and elasticity
Alexander, S. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00069-0 · Cited by 580 · see citing works
Bond-orientational order, dislocation loops, and melting of solids and smectic- A liquid crystals
Nelson, D. R., & Toner, J. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.24.363 · Cited by 392 · see citing works
Coullet, P., Gil, L., & Lega, J. C. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.1619 · Cited by 383 · see citing works
Tricritical Exponents and Scaling Fields
Riedel, E. K., & Wegner, F. (1972) · Physical Review Letters · doi:10.1103/physrevlett.29.349 · Cited by 313 · see citing works
Computational statistical mechanics methodology, applications and supercomputing
ABRAHAM, F. F. (1986) · Advances In Physics · doi:10.1080/00018738600101851 · Cited by 307 · see citing works
Relativistic hydrodynamics for heavy-ion collisions. I. General aspects and expansion into vacuum
Rischke, D. H., Bernard, S., & Maruhn, J. A. (1995) · Nuclear Physics A · doi:10.1016/0375-9474(95)00355-1 · Cited by 278 · see citing works
Continuum theory of thermally induced phase transitions based on an order parameter
Fried, E., & Gurtin, M. E. (1993) · Physica D Nonlinear Phenomena · doi:10.1016/0167-2789(93)90128-n · Cited by 258 · see citing works
Simple model for crystal shapes: Step-step interactions and facet edges
Jayaprakash, C., Rottman, C., & Saam, W. F. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.6549 · Cited by 242 · see citing works
THE VIBRATIONAL PROPERTIES OF AN ELECTRON GAS
Vlasov, A. A. (1968) · Soviet Physics Uspekhi · doi:10.1070/pu1968v010n06abeh003709 · Cited by 235 · see citing works
Thermodynamic model for tricritical points in ternary and quaternary fluid mixtures
Griffiths, R. B. (1974) · The Journal of Chemical Physics · doi:10.1063/1.1680768 · Cited by 229 · see citing works
Shape phase transitions and critical-point phenomena in atomic nuclei
Casten, R. F. (2006) · Nature Physics · doi:10.1038/nphys451 · Cited by 204 · see citing works
Applications of the gyrocoupling vector and dissipation dyadic in the dynamics of magnetic domains
Thiele, A. A. (1974) · Journal of Applied Physics · doi:10.1063/1.1662989 · Cited by 204 · see citing works
Roughening and Facet Formation in Crystals
Jayaprakash, C., Saam, W. F., & Teitel, S. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.2017 · Cited by 197 · see citing works
A review on phase field modeling of martensitic phase transformation
Mamivand, M., Zaeem, M. A., & Kadiri, H. E. (2013) · Computational Materials Science · doi:10.1016/j.commatsci.2013.04.059 · Cited by 195 · see citing works
Liquid crystal phase transitions in mixtures of rodlike and platelike molecules
Alben, R. (1973) · The Journal of Chemical Physics · doi:10.1063/1.1680625 · Cited by 185 · see citing works
Theory of Plasma Simulation Using Finite-Size Particles
LANGDON, A. B., & Birdsall, C. K. (1970) · The Physics of Fluids · doi:10.1063/1.1693209 · Cited by 166 · see citing works
A review on models and simulations of membrane formation via phase inversion processes
Tang, Y., Lin, Y., Ford, D. M., et al. (2021) · Journal of Membrane Science · doi:10.1016/j.memsci.2021.119810 · Cited by 150 · see citing works
On anisotropic order parameter models for multi-phase systems and their sharp interface limits
Garcke, H., Nestler, B., & Stoth, B. E. E. (1998) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(97)00227-3 · Cited by 148 · see citing works
Mamivand, M., Zaeem, M. A., & Kadiri, H. E. (2013) · Acta Materialia · doi:10.1016/j.actamat.2013.10.031 · Cited by 140 · see citing works
Electromagnetic probes of quark gluon plasma
Alam, J., Sibaji Raha, A., & Sinha, B. (1996) · Physics Reports · doi:10.1016/0370-1573(95)00084-4 · Cited by 131 · see citing works
Radzihovsky, L. (2011) · Physical Review A · doi:10.1103/physreva.84.023611 · Cited by 127 · see citing works
Fractional dynamics of coupled oscillators with long-range interactionPreprint
Tarasov, V. E., & Zaslavsky, G. M. (2008) · Cited by 124 · see citing works
Quantum phase transitions and structural evolution in nuclei
Casten, R. F. (2008) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2008.06.002 · Cited by 118 · see citing works
Mouhot, C., & Strain, R. M. (2007) · Journal de Mathématiques Pures et Appliquées · doi:10.1016/j.matpur.2007.03.003 · Cited by 110 · see citing works
Inclusive production of low-momentum charged pions at x = 0 at the CERN intersecting storage rings
Guettler, K., Duff, B. G., Prentice, M. N., et al. (1976) · Physics Letters B · doi:10.1016/0370-2693(76)90369-5 · Cited by 104 · see citing works
Magnetic Tricritical Points in Ising Antiferromagnets
Landau, D. P. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.449 · Cited by 97 · see citing works
Gutiérrez, S., Rivas, J., & Vega, L. (2003) · Communications in Partial Differential Equations · doi:10.1081/pde-120021181 · Cited by 96 · see citing works
Qiao, H., Wang, C., Choi, W. S., et al. (2021) · Materials Science and Engineering R Reports · doi:10.1016/j.mser.2021.100622 · Cited by 93 · see citing works
Mamivand, M., Zaeem, M. A., & Kadiri, H. E. (2014) · International Journal of Plasticity · doi:10.1016/j.ijplas.2014.03.018 · Cited by 93 · see citing works
Lev Landau and the concept of neutron stars
Yakovlev, D. G., Haensel, P., Baym, G., et al. (2013) · Physics-Uspekhi · doi:10.3367/ufne.0183.201303f.0307 · Cited by 90 · see citing works
A thermodynamic approach to non-isothermal phase-field evolution in continuum physics
Fabrizio, M., Giorgi, C., & Morro, A. (2006) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2006.01.002 · Cited by 90 · see citing works
Thermal Photons and Lepton Pairs from Quark Gluon Plasma and Hot Hadronic MatterPreprint
Alam, J., Sarkar, S., Roy, P. K., Hatsuda, T., & Sinha, B. (1999) · Cited by 87 · see citing works
Xu, B., Yu, C., & Kang, G. (2021) · International Journal of Plasticity · doi:10.1016/j.ijplas.2021.103075 · Cited by 86 · see citing works
Weiner, B. B., & Garland, C. W. (1972) · The Journal of Chemical Physics · doi:10.1063/1.1676842 · Cited by 84 · see citing works
Muronga, A. (2007) · Physical Review C · doi:10.1103/physrevc.76.014910 · Cited by 83 · see citing works
Multicomponent Order Parameter for Surface Melting
Lipowsky, R., Breuer, U., Prince, K. C., et al. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.913 · Cited by 77 · see citing works
Phase Diagram Behaviors for Rod/Plate Liquid Crystal Mixtures
Rabin, Y., McMullen, W. E., & Gelbart, W. M. (1982) · Molecular crystals and liquid crystals · doi:10.1080/00268948208074470 · Cited by 76 · see citing works
Xu, B., Kang, G., Yu, C., et al. (2020) · International Journal of Engineering Science · doi:10.1016/j.ijengsci.2020.103373 · Cited by 75 · see citing works
Kinetic theory of the presheath and the Bohm criterion
Baalrud, S., & Hegna, C. C. (2011) · Plasma Sources Science and Technology · doi:10.1088/0963-0252/20/2/025013 · Cited by 75 · see citing works
Dowling, J. P., Schleich, W. P., & WHEELER, J. A. (1991) · Annalen der Physik · doi:10.1002/andp.19915030702 · Cited by 74 · see citing works
Collisional Relaxation of Fine Velocity Structures in Plasmas
Pezzi, O., Valentini, F., & Veltri, P. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.145001 · Cited by 68 · see citing works
Dominguez-Lerma, M. A., Ahlers, G., & Cannell, D. S. (1984) · The Physics of Fluids · doi:10.1063/1.864714 · Cited by 65 · see citing works
Morawiec, A. (2000) · Acta Materialia · doi:10.1016/s1359-6454(00)00126-9 · Cited by 64 · see citing works
A class of asymptotic-preserving schemes for the Fokker–Planck–Landau equation
Jin, S., & Yan, B. (2011) · Journal of Computational Physics · doi:10.1016/j.jcp.2011.04.002 · Cited by 63 · see citing works
Hus, S. M., & Li, A. (2017) · Progress in Surface Science · doi:10.1016/j.progsurf.2017.07.001 · Cited by 61 · see citing works
Quantum Field Theory Approach to Condensed Matter Physics
Marino, E. C. (2017) · Cambridge University Press eBooks · doi:10.1017/9781139696548 · Cited by 62 · see citing works
Experimental Observation of Anomalous Ordering in a Landau-Peierls System
Als-Nielsen, J., Birgeneau, R. J., Kaplan, M., et al. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.1668 · Cited by 62 · see citing works
Introduction to the BCF theory
Uwaha, M. (2016) · Progress in Crystal Growth and Characterization of Materials · doi:10.1016/j.pcrysgrow.2016.04.002 · Cited by 60 · see citing works
Self-sustained oscillations in the wake of a sphere
Schouveiler, L., & Provansal, M. (2002) · Physics of Fluids · doi:10.1063/1.1508770 · Cited by 59 · see citing works
Ultrasonic Investigation of the Ferroelectric Transition Region in K H2 P O4
Litov, E., & Garland, C. W. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.4597 · Cited by 59 · see citing works
Xu, B., & Kang, G. (2021) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2021.106462 · Cited by 58 · see citing works
Exponential temperature dependence of the electrical resistivity of V3 Si
Milewits, M., Williamson, S. J., & Taub, H. (1976) · Physical review. B, Solid state · doi:10.1103/physrevb.13.5199 · Cited by 58 · see citing works
Numerical approximation of collisional plasmas by high order methods
Crouseilles, N., & Filbet, F. (2004) · Journal of Computational Physics · doi:10.1016/j.jcp.2004.06.007 · Cited by 57 · see citing works
Zhao, T., Zhu, J., & Luo, J. (2016) · Engineering Fracture Mechanics · doi:10.1016/j.engfracmech.2016.03.035 · Cited by 57 · see citing works
Elementary Exponential Error Estimates for the Adiabatic Approximation
Hagedorn, G. A., & Joye, A. (2002) · Journal of Mathematical Analysis and Applications · doi:10.1006/jmaa.2001.7765 · Cited by 57 · see citing works
Simulation of ferromagnetic resonance spectra of linear chains of magnetite nanocrystals
Charilaou, M., Winklhofer, M., & Gehring, A. U. (2011) · Journal of Applied Physics · doi:10.1063/1.3581103 · Cited by 55 · see citing works
Csörgő, T., Grassi, F., Hama, Y., & Kodama, T. (2003) · Physics Letters B · doi:10.1016/s0370-2693(03)00747-0 · Cited by 55 · see citing works
Determining the Bohm criterion in plasmas with two ion species
Baalrud, S., & Hegna, C. C. (2011) · Physics of Plasmas · doi:10.1063/1.3555533 · Cited by 54 · see citing works
1 Hydrodynamics and collective behaviour in relativistic nuclear collisions ∗Preprint
Rischke, D. H. (1996) · Cited by 54 · see citing works
The LPM effect in sequential bremsstrahlung
Arnold, P. B., & Iqbal, S. (2015) · Journal of High Energy Physics · doi:10.1007/jhep04(2015)070 · Cited by 53 · see citing works
The Influence of Polymer Molecular Weight in Lamellar Gels Based on PEG-Lipids
Warriner, H. E., Keller, S. L., Idziak, S. H. J., et al. (1998) · Biophysical Journal · doi:10.1016/s0006-3495(98)77514-9 · Cited by 53 · see citing works
Symmetry classification of continuous phase transitions in two dimensions
Rottman, C. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.24.1482 · Cited by 51 · see citing works
Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
Pan, X., & Kwek, K.-H. (2002) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-02-03033-7 · Cited by 50 · see citing works
Mamivand, M., Zaeem, M. A., & Kadiri, H. E. (2015) · Acta Materialia · doi:10.1016/j.actamat.2014.12.036 · Cited by 50 · see citing works
Esfahani, S. E., Ghamarian, I., Levitas, V. I., et al. (2018) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2018.03.022 · Cited by 50 · see citing works
Indergand, R., Vidyasagar, A., Nadkarni, N., et al. (2020) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2020.104098 · Cited by 49 · see citing works
Induced long-range order in crosslinked ‘one-dimensional’ stacks of fluid monolayers
Wong, G. C. L., de Jeu, W. H., Shao, H. H., et al. (1997) · Nature · doi:10.1038/39271 · Cited by 48 · see citing works
Grain-boundary grooving by surface diffusion with strong surface energy anisotropy
Xin, T.-H., & Wong, H. (2003) · Acta Materialia · doi:10.1016/s1359-6454(03)00039-9 · Cited by 44 · see citing works
Kohansal, M., Kiani, M., Masoumi, S., et al. (2023) · Energy & Fuels · doi:10.1021/acs.energyfuels.3c00780 · Cited by 46 · see citing works
Entropy flow of a perfect fluid in ( 1+1 ) hydrodynamics
Beuf, G., Peschanski, R., & Saridakis, E. N. (2008) · Physical Review C · doi:10.1103/physrevc.78.064909 · Cited by 44 · see citing works
Electron and photon interactions in the regime of strong Landau-Pomeranchuk-Migdal suppression
Gerhardt, L., & Klein, S. R. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.074017 · Cited by 46 · see citing works
Zhu, J., & Luo, J. (2017) · Materials Science and Engineering A · doi:10.1016/j.msea.2017.06.060 · Cited by 46 · see citing works
The LPM effect in sequential bremsstrahlung 2: factorization
Arnold, P. B., Chang, H.-C., & Iqbal, S. (2016) · Journal of High Energy Physics · doi:10.1007/jhep09(2016)078 · Cited by 45 · see citing works
Curvature elasticity in liquid crystals
Shri, S. (1996) · Physics Reports · doi:10.1016/s0370-1573(96)00016-6 · Cited by 44 · see citing works
Monnai, A., & Hirano, T. (2010) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2010.08.002 · Cited by 44 · see citing works
Liquid metals and vapours under pressure
Ross, R. G., & Greenwood, D. A. (1969) · Progress in Materials Science · doi:10.1016/0079-6425(69)90005-x · Cited by 44 · see citing works
ON THE STABILITY OF A SINGULAR VORTEX DYNAMICSPreprint
Banica, V., & Vega, L. (2008) · Cited by 44 · see citing works
On the Cartesian definition of orientational order parameters
Turzi, S. S. (2011) · Journal of Mathematical Physics · doi:10.1063/1.3589961 · Cited by 42 · see citing works
The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics
Carati, A., Galgani, L., & Giorgilli, A. (2005) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.1861264 · Cited by 42 · see citing works
PEGylated cationic liposome–DNA complexation in brine is pathway-dependent
Silva, B. F. B., Majzoub, R. N., Chan, C.-L., et al. (2013) · Biochimica et Biophysica Acta (BBA) - Biomembranes · doi:10.1016/j.bbamem.2013.09.008 · Cited by 42 · see citing works
Construction and Borel summability of planar 4-dimensional euclidean field theory
Rivasseau, V. (1984) · Communications in Mathematical Physics · doi:10.1007/bf01210833 · Cited by 41 · see citing works
Phase field based nonlocal anisotropic damage mechanics model
Mozaffari, N., & Voyiadjis, G. Z. (2015) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2015.06.003 · Cited by 40 · see citing works
Surface superconductivity in 3 dimensions
Pan, X. (2004) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-04-03530-5 · Cited by 39 · see citing works
Onset of two-dimensional cellular flow in finite curved channels of large aspect ratio
Finlay, W. H., & Nandakumar, K. (1990) · Physics of Fluids A Fluid Dynamics · doi:10.1063/1.857617 · Cited by 39 · see citing works
Forman, P. (1995) · Reviews of Modern Physics · doi:10.1103/revmodphys.67.397 · Cited by 38 · see citing works
A dynamic measure of order in structural glasses
Douglas, J. F. (1995) · Computational Materials Science · doi:10.1016/0927-0256(95)00031-0 · Cited by 38 · see citing works
Tricritical Points and Type-Three Phase Transitions
Schulman, L. S. (1973) · Physical review. B, Solid state · doi:10.1103/physrevb.7.1960 · Cited by 38 · see citing works
Ewbank, J. D., Schäfer, L., & Ischenko, A. A. (2000) · Journal of Molecular Structure · doi:10.1016/s0022-2860(99)00419-6 · Cited by 36 · see citing works
Mach cone in a shallow granular fluid
Heil, P., Rericha, E. C., Goldman, D. I., et al. (2004) · Physical Review E · doi:10.1103/physreve.70.060301 · Cited by 36 · see citing works
Xu, G., Yang, L., & Zhou, Y. (2021) · Corrosion Science · doi:10.1016/j.corsci.2021.109690 · Cited by 35 · see citing works
Iron melting curve with a tricritical point
AITTA, A. (2006) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2006/12/p12015 · Cited by 35 · see citing works
Continuous dissipative phase transitions with or without symmetry breaking
Minganti, F., Arkhipov, I. I., Miranowicz, A., & Nori, F. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac3db8 · Cited by 34 · see citing works
Vibrational dynamics and phase diagram of KNbO3up to 30 GPa and from 20 to ∼500 K
Pruzan, P., Gourdain, D., & Chervin, J. C. (2007) · Phase Transitions · doi:10.1080/01411590701473176 · Cited by 34 · see citing works
Dynamic instability in a phenomenological model of correlated assets
Raffaelli, G., & Marsili, M. (2006) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2006/08/l08001 · Cited by 34 · see citing works
Ambiguities of renormalized φ44 field theory and the singularities of its borel transform
Bergère, M. C., & David, F. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90305-8 · Cited by 34 · see citing works
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About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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