206 research outputs found
Fokker-Planck and Landau-Lifshitz-Bloch Equations for Classical Ferromagnets
A macroscopic equation of motion for the magnetization of a ferromagnet at
elevated temperatures should contain both transverse and longitudinal
relaxation terms and interpolate between Landau-Lifshitz equation at low
temperatures and the Bloch equation at high temperatures. It is shown that for
the classical model where spin-bath interactions are described by stochastic
Langevin fields and spin-spin interactions are treated within the mean-field
approximation (MFA), such a ``Landau-Lifshitz-Bloch'' (LLB) equation can be
derived exactly from the Fokker-Planck equation, if the external conditions
change slowly enough. For weakly anisotropic ferromagnets within the MFA the
LLB equation can be written in a macroscopic form based on the free-energy
functional interpolating between the Landau free energy near T_C and the
``micromagnetic'' free energy, which neglects changes of the magnetization
magnitude |{\bf M}|, at low temperatures.Comment: 9 pages, no figures, a small error correcte
Nonlinear response of superparamagnets with finite damping: an analytical approach
The strongly damping-dependent nonlinear dynamical response of classical
superparamagnets is investigated by means of an analytical approach. Using
rigorous balance equations for the spin occupation numbers a simple approximate
expression is derived for the nonlinear susceptibility. The results are in good
agreement with those obtained from the exact (continued-fraction) solution of
the Fokker-Planck equation. The formula obtained could be of assistance in the
modelling of the experimental data and the determination of the damping
coefficient in superparamagnets.Comment: 7 PR pages, 2 figure
Landau-Zener-Stueckelberg effect in a model of interacting tunneling systems
The Landau-Zener-Stueckelberg (LZS) effect in a model system of interacting
tunneling particles is studied numerically and analytically. Each of N
tunneling particles interacts with each of the others with the same coupling J.
This problem maps onto that of the LZS effect for a large spin S=N/2. The
mean-field limit N=>\infty corresponds to the classical limit S=>\infty for the
effective spin. It is shown that the ferromagnetic coupling J>0 tends to
suppress the LZS transitions. For N=>\infty there is a critical value of J
above which the staying probability P does not go to zero in the slow sweep
limit, unlike the standard LZS effect. In the same limit for J>0 LZS
transitions are boosted and P=0 for a set of finite values of the sweep rate.
Various limiting cases such as strong and weak interaction, slow and fast sweep
are considered analytically. It is shown that the mean-field approach works
well for arbitrary N if the interaction J is weak.Comment: 13 PR pages, 15 Fig
Bloch-Wall Phase Transition in the Spherical Model
The temperature-induced second-order phase transition from Bloch to linear
(Ising-like) domain walls in uniaxial ferromagnets is investigated for the
model of D-component classical spin vectors in the limit D \to \infty. This
exactly soluble model is equivalent to the standard spherical model in the
homogeneous case, but deviates from it and is free from unphysical behavior in
a general inhomogeneous situation. It is shown that the thermal fluctuations of
the transverse magnetization in the wall (the Bloch-wall order parameter)
result in the diminishing of the wall transition temperature T_B in comparison
to its mean-field value, thus favouring the existence of linear walls. For
finite values of T_B an additional anisotropy in the basis plane x,y is
required; in purely uniaxial ferromagnets a domain wall behaves like a
2-dimensional system with a continuous spin symmetry and does not order into
the Bloch one.Comment: 16 pages, 2 figure
Quantum statistical metastability for a finite spin
We study quantum-classical escape-rate transitions for uniaxial and biaxial
models with finite spins S=10 (such as Mn_12Ac and Fe_8) and S=100 by a direct
numerical approach. At second-order transitions the level making a dominant
contribution into thermally assisted tunneling changes gradually with
temperature whereas at first-order transitions a group of levels is skipped.
For finite spins, the quasiclassical boundaries between first- and second-order
transitions are shifted, favoring a second-order transition: For Fe_8 in zero
field the transition should be first order according to a theory with S \to
\infty, but we show that there are no skipped levels at the transition.
Applying a field along the hard axis in Fe_8 makes transition the strongest
first order. For the same model with S=100 we confirmed the existence of a
region where a second-order transition is followed by a first-order transition
[X. Martines Hidalgo and E. M. Chudnovsky, J. Phys.: Condensed Matter (in
press)].Comment: 7 Phys. Rev. pages, 10 figures, submitted to PR
Influence of TiN-coatings of hard alloy knives on exploitation of wood-cutting milling tool when processing laminated chipboard
The influence of TiN-coatings surface of cutters mill wood tools on wear of cutters for milling special woods was investigated. The TiN-coatings were formed on surfaces of import cutting inserts of mill tools by the method of condensation from a plasma phase in a vacuum with ion bombardment of surface. The element composition coatings and tools, the surface morphology of cutting tools were studied by X-ray microanalysis and transmission electron microscopy. The phase composition of import cutting tools is a hard alloy with type of WC-3. The tools consist of double-blade cutters with TiN coatings for milling special woods showed growth of wear resistance by 20% in comparison with bare tools. There is abrasive chemical type of wear on surface coating of cutters mill tools
Thermal fluctuations and longitudinal relaxation of single-domain magnetic particles at elevated temperatures
We present numerical and analytical results for the swiching times of
magnetic nanoparticles with uniaxial anisotropy at elevated temperatures,
including the vicinity of T_c. The consideration is based in the
Landau-Lifshitz-Bloch equation that includes the relaxation of the
magnetization magnitude M. The resulting switching times are shorter than those
following from the naive Landau-Lifshitz equation due to (i) additional barrier
lowering because of the reduction of M at the barrier and (ii) critical
divergence of the damping parameters.Comment: 4 PR pages, 1 figur
The investigation of speed on idling power of a drive of cutting machine Unimat 23 EL
Experimental values of capacity at idling of a quadrilateral milling machine Unimat 23 EL cutting drive are defined at various tool rotation speed and various tool types. It is experimentally established that dependence of cutting drive idling capacity on tool rotation speed has curvilinear character, and dependence of cutting drive idling capacity on tool rotation speed square is close to the linear. It contradicts the theoretical data received by a way of calculations by a technique for metalcutting machines. Accordingly, the idling capacity calculating technique is inapplicable to woodcutting machines not only owing to big divergence of calculated and experimental values, but also because of character discrepancy of experimental and settlement dependences
Tunneling of a large spin via hyperfine interactions
We consider a large spin \bf S in the magnetic field parallel to the uniaxial
crystal field, interacting with N >> 1 nuclear spins \bf I_i via Hamiltonian
\cal H = -DS_z^2 - H_zS_z+ A{\bf S}\cdot \sum_{i=1}^N {\bf I}_i with A << D, at
temperature T. Tunneling splittings and the selection rules for the resonant
values of H_z are obtained perturbatively. The quantum coherence exists at T <<
ASI while at T >= ASI the coherence is destroyed and the relaxation of \bf S is
described by a stretched dependence which can be close to log t under certain
conditions. Relevance to Mn-12 acetate is discussed.Comment: 5 PR pages, 4 figures, submitted to PR
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