Relevant bibliographies by topics / Landau-Lifshitz-Gilbert equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Landau-Lifshitz-Gilbert equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2024

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Journal articles on the topic "Landau-Lifshitz-Gilbert equation"

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Titov, Sergei V., William J. Dowling, and Yuri P. Kalmykov. "Ferromagnetic and nutation resonance frequencies of nanomagnets with various magnetocrystalline anisotropies." Journal of Applied Physics 131, no. 19 (2022): 193901. http://dx.doi.org/10.1063/5.0093226.

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Nutation and precession resonances are investigated for nanomagnets with uniaxial, biaxial, and cubic magnetocrystalline anisotropies employing the linearized inertial Landau–Lifshitz–Gilbert equation. Analytical expression analogous to the Smit–Beljers–Suhl formula for resonance frequencies is obtained. The estimated nutation resonance frequencies are compared with those obtained from the undamped inertial Landau–Lifshitz–Gilbert equation by determining numerically closed trajectories near the bottom of the deepest potential well. The good agreement of both independent estimations is demonstr
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USATENKO, O. V., O. A. CHUBYKALO-FESENKO, and F. GARCÍA SÁNCHEZ. "NONLINEAR ADIABATIC DYNAMICS OF SMALL FERROMAGNETIC PARTICLES." International Journal of Modern Physics B 20, no. 32 (2006): 5391–404. http://dx.doi.org/10.1142/s0217979206035850.

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The purpose of this work is to present an analytical description of dynamics of small ferromagnetic particles with uniaxial anisotropy and the slowly varying magnetic field applied at an arbitrary angle to the anisotropy axis. Considerable attention is given to the nonlinear aspects of adiabatic dynamics. Theoretical analysis based on the consideration of the Landau–Lifshitz–Gilbert equation employs an asymptotic expansion similar to the famous semi-classical WKBJ solution of quantum mechanics equations. The small parameter of the expansion is the ratio of characteristic frequency of the appli
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Kurzke, Matthias, Christof Melcher, Roger Moser, and Daniel Spirn. "Ginzburg–Landau Vortices Driven by the Landau–Lifshitz–Gilbert Equation." Archive for Rational Mechanics and Analysis 199, no. 3 (2010): 843–88. http://dx.doi.org/10.1007/s00205-010-0356-0.

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Huber, Alexander. "Periodic solutions for the Landau–Lifshitz–Gilbert equation." Journal of Differential Equations 250, no. 5 (2011): 2462–84. http://dx.doi.org/10.1016/j.jde.2010.11.019.

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Lin, Zhuonan, and Vitaliy Lomakin. "Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation." AIP Advances 13, no. 1 (2023): 015216. http://dx.doi.org/10.1063/9.0000609.

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We present a general finite element linearized Landau-Lifshitz-Gilbert equation (LLGE) solver for magnetic systems under weak time-harmonic excitation field. The linearized LLGE is obtained by assuming a small deviation around the equilibrium state of the magnetic system. Inserting such expansion into LLGE and keeping only first order terms gives the linearized LLGE, which gives a frequency domain solution for the complex magnetization amplitudes under an external time-harmonic applied field of a given frequency. We solve the linear system with an iterative solver using generalized minimal res
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KLIK, IVO, and CHING-RAY CHANG. "THERMAL RELAXATION IN MAGNETIC MATERIALS: A SURVEY." SPIN 03, no. 02 (2013): 1330005. http://dx.doi.org/10.1142/s2010324713300053.

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This paper presents a survey of the methods of statistical physics which are applied to the problem of thermal agitation in magnetic materials. The main focus of the work is the stochastic dynamics described by the Landau-Lifshitz-Gilbert equation for which most analytic results are known, and which has been most commonly used in numerical simulations. We also present the much more recent Landau–Lifshitz–Bloch equation and the numerical calculations describing magnetization dynamics close to the Curie point. The paper is concluded by a description of the newly introduced jump-noise and of the
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Lakshmanan, M. "The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1939 (2011): 1280–300. http://dx.doi.org/10.1098/rsta.2010.0319.

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The Landau–Lifshitz–Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex filaments, moving space curves, etc. and has intimate connections with many of the well-known integrable soliton equations, including nonlinear Schrödinger and sine-Gordon equations. It can admit very many dynamical structures including spin waves, elliptic function waves, solitons, dromions, vortices, spatio-temporal patterns, chaos, etc. depending on the phy
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Yamada, H., and N. Hayashi. "Solution of Landau-Lifshitz-Gilbert Equation by Newton's Method." Journal of the Magnetics Society of Japan 28, no. 3 (2004): 305–11. http://dx.doi.org/10.3379/jmsjmag.28.305.

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Baňas, Ľubomír, Zdzislaw Brzeźniak, and Andreas Prohl. "Computational Studies for the Stochastic Landau--Lifshitz--Gilbert Equation." SIAM Journal on Scientific Computing 35, no. 1 (2013): B62—B81. http://dx.doi.org/10.1137/110856666.

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Tutu, Hiroki, and Takehiko Horita. "Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field." Progress of Theoretical Physics 120, no. 2 (2008): 315–45. http://dx.doi.org/10.1143/ptp.120.315.

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Dissertations / Theses on the topic "Landau-Lifshitz-Gilbert equation"

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Hocquet, Antoine. "The Landau-Lifshitz-Gilbert equation driven by Gaussian noise." Palaiseau, Ecole polytechnique, 2015. https://theses.hal.science/tel-01265433/document.

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Cette thèse porte sur l'influence d'un bruit Gaussien dans l'équation de Landau-Lifshitz-Gilbert Stochastique (SLLG). Il s'agit d'une équation aux dérivées partielles stochastique, non linéaire, avec une contrainte non convexe sur le module des solutions. Le chapitre 1 se consacre tout d'abord à la solvabilité locale de SLLG. Utilisant les propriétés classiques de l'intégration stochastique dans un espace de Banach, nous proposons une formulation mild, et donnons l'existence et l'unicité d'une solution locale en dimension quelconque, pour un bruit Gaussien régulier en espace, dans le cas sur-a
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Денисов, Станіслав Іванович, Станислав Иванович Денисов, Stanislav Ivanovych Denysov, et al. "Effective Landau-Lifshitz-Gilbert Equation for a Conducting Nanoparticle." Thesis, Sumy State University, 2012. http://essuir.sumdu.edu.ua/handle/123456789/35362.

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We study the role of conductivity in the magnetization dynamics of single-domain ferromagnetic particles. Our approach is based on the coupled system of Maxwell’s and Landau-Lifshitz-Gilbert (LLG) equations that describes both the induced electromagnetic field and the magnetization dynamics. We show that the effective LLG equation for a conducting particle contains two additional terms compared to the ordinary LLG equation. One of these terms accounts for the magnetic field of eddy currents induced by an external magnetic field, and the other is magnetization dependent and is responsible
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Денисов, Станіслав Іванович, Станислав Иванович Денисов, Stanislav Ivanovych Denysov, et al. "Effective Landau Lifshitz Gilbert Equation for a Conducting Nanoparticle." Thesis, Міністерство освіти і науки Автономної Республіки Крим, 2012. http://essuir.sumdu.edu.ua/handle/123456789/29834.

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Денисов, Станіслав Іванович, Станислав Иванович Денисов, Stanislav Ivanovych Denysov, Ганна Валеріївна Бабич, Анна Валерьевна Бабич, and Hanna Valeriivna Babych. "Effective Landau-Lifshitz-Gilbert equation for a conducting nanoparticle." Thesis, Сумський державний університет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/33504.

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We study the role of conductivity in the magnetization dynamics of single-domain ferromagnetic particles. Our approach is based on the coupled system of Maxwell’s and Landau-Lifshitz-Gilbert (LLG) equations. We show that the effective LLG equation for a conducting particle contains two additional terms compared to the ordinary LLG equation. One of them is responsible for the conductivity contribution to the damping parameter. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/33504
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Chugreeva, Olga [Verfasser], Christof Erich [Akademischer Betreuer] Melcher, and Maria Gabrielle [Akademischer Betreuer] Westdickenberg. "Stochastics meets applied analysis : stochastic Ginzburg-Landau vortices and stochastic Landau-Lifshitz-Gilbert equation / Olga Chugreeva ; Christof Erich Melcher, Maria Gabrielle Westdickenberg." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1156922305/34.

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Wu, Yong. "Relaxation Effects in Magnetic Nanoparticle Physics: MPI and MPS Applications." Case Western Reserve University School of Graduate Studies / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=case1370865200.

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Shepherd, David. "Numerical methods for dynamic micromagnetics." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/numerical-methods-for-dynamic-micromagnetics(e8c5549b-7cf7-44af-8191-5244a491d690).html.

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Micromagnetics is a continuum mechanics theory of magnetic materials widely used in industry and academia. In this thesis we describe a complete numerical method, with a number of novel components, for the computational solution of dynamic micromagnetic problems by solving the Landau-Lifshitz-Gilbert (LLG) equation. In particular we focus on the use of the implicit midpoint rule (IMR), a time integration scheme which conserves several important properties of the LLG equation. We use the finite element method for spatial discretisation, and use nodal quadrature schemes to retain the conservatio
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Pham, Huy. "Study of Magnetization Switching for MRAM Based Memory Technologies." ScholarWorks@UNO, 2009. http://scholarworks.uno.edu/td/1028.

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Understanding magnetization reversal is very important in designing high density and high data transfer rate recording media. This research has been motivated by interest in developing new nonvolatile data storage solutions as magnetic random access memories - MRAMs. This dissertation is intended to provide a theoretical analysis of static and dynamic magnetization switching of magnetic systems within the framework of critical curve (CC). Based on the time scale involved, a quasi-static or dynamic CC approach is used. The static magnetization switching can be elegantly described using t
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Gomes, Josiel Carlos de Souza. "Estudo da dinâmica da parede de domínio transversal em nanofios magnéticos mediante aplicação de corrente de spin polarizada." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/3046.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2016-12-22T12:37:32Z No. of bitstreams: 1 josielcarlosdesouzagomes.pdf: 11267373 bytes, checksum: 393a01f57f4f5afaaf46890b84f4a7ac (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-12-22T12:42:22Z (GMT) No. of bitstreams: 1 josielcarlosdesouzagomes.pdf: 11267373 bytes, checksum: 393a01f57f4f5afaaf46890b84f4a7ac (MD5)<br>Made available in DSpace on 2016-12-22T12:42:22Z (GMT). No. of bitstreams: 1 josielcarlosdesouzagomes.pdf: 11267373 bytes, checksum: 393a01f57f4f5afaaf46890b84f4a7ac (MD5)
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FERRERO, RICCARDO. "Modeling of the hysteresis losses of magnetic nanostructures for hyperthermia applications." Doctoral thesis, Politecnico di Torino, 2019. http://hdl.handle.net/11583/2742523.

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Books on the topic "Landau-Lifshitz-Gilbert equation"

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Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. Atomistic Spin Dynamics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.001.0001.

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The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics, and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. The contents involve a description of density functional theory both from a fundamental viewpoint as well as a practical one, with several examples of how this theory can be used for the evaluation of ground state properties like spin and orbital moments, magnetic form-factors, magnetic anisotropy, Heisenberg exchange parameters, and the Gilbert damping parameter. This book also outl
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Book chapters on the topic "Landau-Lifshitz-Gilbert equation"

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Prohl, Andreas. "The Landau-Lifshitz-Gilbert Equation." In Computational Micromagnetism. Vieweg+Teubner Verlag, 2001. http://dx.doi.org/10.1007/978-3-663-09498-2_4.

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Baňas, L’ubomír. "Numerical Methods for the Landau-Lifshitz-Gilbert Equation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-31852-1_17.

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Kurzke, Matthias, Christof Melcher, and Roger Moser. "Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Applied Magnetic Field." In Singular Phenomena and Scaling in Mathematical Models. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00786-1_6.

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Kaltenbacher, Barbara, Tram Thi Ngoc Nguyen, Anne Wald, and Thomas Schuster. "Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging." In Time-dependent Problems in Imaging and Parameter Identification. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57784-1_13.

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Tutu, H. "Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field: Efficiency for Maintaining a UPO." In NATO Science for Peace and Security Series B: Physics and Biophysics. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3120-4_24.

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Prohl, Andreas. "The Maxwell-Landau-Lifshitz-Gilbert Equations." In Computational Micromagnetism. Vieweg+Teubner Verlag, 2001. http://dx.doi.org/10.1007/978-3-663-09498-2_5.

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Btissam Drissi, Lalla, El Hassan Saidi, Mosto Bousmina, and Omar Fassi-Fehri. "Magnetic Skyrmions: Theory and Applications." In Magnetic Skyrmions. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96927.

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Magnetic skyrmions have been subject of growing interest in recent years for their very promising applications in spintronics, quantum computation and future low power information technology devices. In this book chapter, we use the field theory method and coherent spin state ideas to investigate the properties of magnetic solitons in spacetime while focussing on 2D and 3D skyrmions. We also study the case of a rigid skyrmion dissolved in a magnetic background induced by the spin-tronics; and derive the effective rigid skyrmion equation of motion. We examine as well the interaction between electrons and skyrmions; and comment on the modified Landau-Lifshitz-Gilbert equation. Other issues, including emergent electrodynamics and hot applications for next-generation high-density efficient information encoding, are also discussed.
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Wang, Shun, Linrong Yao, and Sheng Jiang. "Spintronic Nano-Oscillators." In New Insights on Oscillators and Their Applications to Engineering and Science [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.112445.

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Spintronic nano-oscillators represent a novel class of nonlinear auto-oscillators that effectively convert magnetization precession into a microwave voltage signal by means of spin torque exerted through an electric current. These nano-oscillators can be categorized as either spin-torque nano-oscillators (STNOs) or spin-Hall nano-oscillators (SHNOs), depending on the driving force involved, namely, spin-transfer torque or spin-orbit torque. The present chapter offers a comprehensive review of the fundamental aspects and recent advancements in spintronic nano-oscillators. Firstly, the discussion encompasses spin torques and magnetoresistive effects. Subsequently, the underlying principles and theoretical foundations of spintronic nano-oscillators are elucidated, encompassing the Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation and nonlinear auto-oscillation theory. Additionally, the chapter outlines the structures, characteristics, and synchronization phenomena exhibited by these oscillators. Lastly, prospective applications such as microwave communication, assisted magnetic recording, and neuromorphic computing are explored. This review is poised to stimulate research interest, particularly with regard to the commercialization of promising applications.
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Leble, Sergey. "Magnetic field dynamics, novel aspects of a theory based on Landau–Lifshitz–Gilbert equations." In Practical Electrodynamics with Advanced Applications. IOP Publishing, 2020. http://dx.doi.org/10.1088/978-0-7503-2576-9ch16.

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Conference papers on the topic "Landau-Lifshitz-Gilbert equation"

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Bottauscio, O., and A. Manzin. "Efficiency of the geometric integration of Landau-Lifshitz-Gilbert equation based on Cayley transform." In 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010). IEEE, 2010. http://dx.doi.org/10.1109/cefc.2010.5481860.

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Patrakov, V., and S. Rukin. "Computer simulation of multi-gigawatt magnetic compression lines." In 8th International Congress on Energy Fluxes and Radiation Effects. Crossref, 2022. http://dx.doi.org/10.56761/efre2022.s6-p-017001.

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Magnetic compression lines (MCL) are novel solid-state devices for multi-gigawatt sub-nanosecond and picosecond pulse amplification. Their operation is based on the interaction of magnetic field created by a powerful nanosecond or sub-nanosecond pulse with the magnetization vector in a ferrite medium. In this study a numerical model of an MCL was created, based on Maxwell’s equations and Landau-Lifshitz-Gilbert equation for magnetization dynamics. The equation system is solved using COMSOL Multiphysics simulation software. The model shows good agreement with the experimental data. Using the cr
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Nguyen, Quang, and Amir I. Zaghloul. "Susceptibility of Nanoparticles Studied by Landau-Lifshitz-Gilbert and Snoek’s Equations." In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting. IEEE, 2019. http://dx.doi.org/10.1109/apusncursinrsm.2019.8888631.

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Sayed, Sadeed B., H. Arda Ulku, and Hakan Bagci. "Transient analysis of scattering from ferromagnetic objects using Landau-Lifshitz-Gilbert and volume integral equations." In 2016 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2016. http://dx.doi.org/10.1109/aps.2016.7696748.

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Bin Sayed, Sadeed, H. Arda Ulku, and Hakan Bagci. "Transient analysis of electromagnetic wave interactions on ferrite structures using Landau-Lifshitz-Gilbert and volume integral equations." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303399.

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