Theory of magnetic deflagration

Abstract

Theory of magnetic deflagration (avalanches) in crystals of molecular magnets has been developed. The phenomenon resembles the burning of a chemical substance, with the Zeeman energy playing the role of the chemical energy. Non-destructive reversible character of magnetic deflagration, as well as the possibility to continuously tune the flammability of the crystal by changing the magnetic field, makes molecular magnets an attractive toy system for a detailed study of the burning process. Besides simplicity, new features, as compared to the chemical burning, include possibility of quantum decay of metastable spin states and strong temperature dependence of the heat capacity and thermal conductivity. We obtain analytical and numerical solutions for criteria of the ignition of magnetic deflagration, and compute the ignition rate and the speed of the developed deflagration front.

17 Pages, 17 Figure captions

References in corpus (6)

• Thermally Activated Resonant Magnetization Tunneling in Molecular Magnets: Mn_12Ac and others
• Propagation of Avalanches in Mn${}_{12}$-acetate: Magnetic Deflagration
• Dislocation-induced spin tunneling in Mn-12 acetate
• Phonon superradiance and phonon laser effect in nanomagnets
• Quantum Magnetic Deflagration in Mn12 Acetate
• Time relaxation of interacting single--molecule magnets

Cited by in corpus (22)

• Single-molecule Nanomagnets
• Unconventional magnetization processes and thermal runaway in spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Dipolar Ordering and Quantum Dynamics of Domain Walls in Mn-12 Acetate
• Ultra-fast spin avalanches in crystals of molecular magnets in terms of magnetic detonation
• Onset of a Propagating Self-Sustained Spin Reversal Front in a Magnetic System
• Tuning Magnetic Avalanches in Mn12-ac
• Quantum deflagration and supersonic fronts of tunneling in molecular magnets
• Fronts of spin tunneling in molecular magnets
• Phonon-Induced Quantum Magnetic Deflagration in Mn12
• Turbulent fronts of quantum detonation in molecular magnets
• Magneto-optical imaging of magnetic deflagration in Mn12-Acetate
• Anisotropic properties of spin avalanches in crystals of nanomagnets
• Deflagration with quantum and dipolar effects in a model of a molecular magnet
• Anisotropic magnetic deflagration in single crystals of Gd5Ge4
• Multidimensional instability and dynamics of spin-avalanches in crystals of nanomagnets
• Partial spin reversal in magnetic deflagration
• Dipolar-controlled spin tunneling and relaxation in molecular magnets
• Quantum avalanche in the Fe${}_8$ Molecular-Magnet
• Temperature changes of the Fe${}_8$ molecular magnet during its spin reversal process
• Magnetic avalanches in granular ferromagnets: Thermal activated collective behavior
• Multilevel model for magnetic deflagration in nanomagnet crystals
• Counterpart of the Darrieus-Landau instability at a magnetic deflagration front