Quantum relaxation in random magnets

We present a comprehensive study of the low-temperature magnetic relaxation in random magnets. The first part of the paper contains theoretical analysis of the expected features of the relaxation, based upon current theories of quantum tunneling of magnetization. Models of tunneling, dissipation, the crossover from the thermal to the quantum regime, and the effect of barrier distribution on the relaxation rate are discussed. It is argued that relaxation-type experiments are ideally suited for the observation of magnetic tunneling, since they automatically provide the condition of very low barriers. The second part of the paper contains experimental results on transition-metal¿rare-earth amorphous magnets. Structural and magnetic characterization of materials is presented. The temperature and field dependence of the magnetic relaxation is studied. Our key observation is a nonthermal character of the relaxation below a few kelvin. The observed features are in agreement with theoretical suggestions on quantum tunneling of magnetization.

Resonating-valence-bond theory for the square-planar lattice

The short-range resonating-valence-bond (RVB) wave function with nearest-neighbor (NN) spin pairings only is investigated as a possible description for the Heisenberg model on a square-planar lattice. A type of long-range order associated to this RVB Ansatz is identified along with some qualitative consequences involving lattice distortions, excitations, and their coupling.

Normalization factors for magnetic relaxation of small particle systems in non-zero magnetic field.

We critically discuss relaxation experiments in magnetic systems that can be characterized in terms of an energy barrier distribution, showing that proper normalization of the relaxation data is needed whenever curves corresponding to different temperatures are to be compared. We show how these normalization factors can be obtained from experimental data by using the Tln (t/t0) scaling method without making any assumptions about the nature of the energy barrier distribution. The validity of the procedure is tested using a ferrofluid of Fe3O4 particles.

Dynamics of a paramagnetic colloidal particle driven on a magnetic-bubble lattice

We present a theoretical study of the recently observed dynamical regimes of paramagnetic colloidal particles externally driven above a regular lattice of magnetic bubbles [P. Tierno, T. H. Johansen, and T. M. Fischer, Phys. Rev. Lett. 99, 038303 (2007)]. An external precessing magnetic field alters the potential generated by the surface of the film in such a way to either drive the particle circularly around one bubble, ballistically through the array, or in triangular orbits on the interstitial regions between the bubbles. In the ballistic regime, we observe different trajectories performed by the particles phase locked with the external driving. Superdiffusive motion, which was experimentally found bridging the localized and delocalized dynamics, emerge only by introducing a certain degree of randomness into the bubbles size distribution.

The effect of lattice defects on Hele-Shaw flow over an etched lattice

We examine the patterns formed by injecting nitrogen gas into the center of a horizontal, radial Hele-Shaw cell filled with paraffin oil. We use smooth plates and etched plates with lattices having different amounts of defects (010 %). In all cases, a quantitative measure of the pattern ramification shows a regular trend with injection rate and cell gap, such that the dimensionless perimeter scales with the dimensionless time. By adding defects to the lattice, we observe increased branching in the pattern morphologies. However, even in this case, the scaling behavior persists. Only the prefactor of the scaling function shows a dependence on the defect density. For different lattice defect densities, we examine the nature of the different morphology phases.

Breathers and thermal relaxation in Fermi-Pasta-Ulam arrays

Breather stability and longevity in thermally relaxing nonlinear arrays depend sensitively on their interactions with other excitations. We review numerical results for the relaxation of breathers in Fermi¿Pasta¿Ulam arrays, with a specific focus on the different relaxation channels and their dependence on the interparticle interactions, dimensionality, initial condition, and system parameters

Chemisorption of atomic aluminum on Si(111): Evidence for an adsorbate-induced relaxation based on ab initio cluster-model calculations

Interaction models of atomic Al with Si4H9, Si4H7, and Si6H9 clusters have been studied to simulate Al chemisorption on the Si(111) surface in the atop, fourfold atop, and open sites. Calculations were carried out using nonempirical pseudopotentials in the framework of the ab initio Hartree-Fock procedure. Equilibrium bond distances, binding energies for adsorption, and vibrational frequencies of the adatoms are calculated. Several basis sets were used in order to show the importance of polarization effects, especially in the binding energies. Final results show the importance of considering adatom-induced relaxation effects to specify the order of energy stabilities for the three different sites, the fourfold atop site being the preferred one, in agreement with experimental findings.

Relaxivity of Gd-based contrast agents on X nuclei with long intrinsic relaxation times in aqueous solutions.

The relaxivity of commercially available gadolinium (Gd)-based contrast agents was studied for X-nuclei resonances with long intrinsic relaxation times ranging from 6 s to several hundred seconds. Omniscan in pure 13C formic acid had a relaxivity of 2.9 mM(-1) s(-1), whereas its relaxivity on glutamate C1 and C5 in aqueous solution was approximately 0.5 mM(-1) s(-1). Both relaxivities allow the preparation of solutions with a predetermined short T1 and suggest that in vitro substantial sensitivity gains in their measurement can be achieved. 6Li has a long intrinsic relaxation time, on the order of several minutes, which was strongly affected by the contrast agents. Relaxivity ranged from approximately 0.1 mM(-1) s(-1) for Omniscan to 0.3 for Magnevist, whereas the relaxivity of Gd-DOTP was at 11 mM(-1) s(-1), which is two orders of magnitude higher. Overall, these experiments suggest that the presence of 0.1- to 10-microM contrast agents should be detectable, provided sufficient sensitivity is available, such as that afforded by hyperpolarization, recently introduced to in vivo imaging.

Antagonism of neuromuscular blockade but not muscle relaxation affects depth of anaesthesia

RÉSUMÉ Introduction L'effet des agents myorelaxants ainsi que des anticholinestérases sur la profondeur d'anesthésie a été étudié avec des résultats contradictoires. C'est pourquoi nous avons évalué l'effet de l'atracurium et de la néostigmine sur le BIS (bispectral index) ainsi que sur les potentiels auditives évoqués (middle-latency auditory evoked potentials, A-Line® autoregressive index [AAI]). Méthodes Après avoir obtenu l'accord du comité d'éthique local, nous avons étudié 40 patients ayant donné leur consentement écrit, ASA I-II, âgé de 18-69 ans. L'anesthésie générale a consisté en anesthésie intra-veineuse à objectif de concentration avec du propofol et du remifentanil. La fonction de la jonction neuromusculaire était monitorée en continu au moyen d'un électromyographe. Le BIS et l'AAI ont été enregistrés en continu. Après avoir atteint des valeurs stables au niveau du BIS, les patients ont été attribués à deux groupes par randomisation. Les patients du groupe 1 ont reçu 0.4 mg kg-1 d'atracurium et 5 minutes plus tard le même volume de NaCI 0.9%, dans le groupe 2 la séquence d'injection était inversée, le NaCI 0.9% en premier et l'atracurium en deuxième. Au moment où le premier « twitch » d'un train de quatre atteignait 10% de l'intensité avant la relaxation, les patients ont été randomisés une deuxième fois. Les patients du groupe N ont reçu 0.04 mg kg-1 de néostigmine et 0.01 rn9 kg-1 de glycopyrrolate alors que le groupe contrôle (G) ne recevait que 0.01 mg kg-] de glycopyrrolate. Résultats : L 'injection d'atracurium ou de NaCI 0.9% n'a pas eu d'effet sur le BIS ou l'AAI. Après l'injection de néostigmine avec glycopyrrolate, le BIS et I `AAI a augmenté de manière significative (changement maximal moyen du BIS 7.1 ± 7.5, P< 0.001, de l'AAI 9.7 ± 10.5, P< 0.001). Suite à l'injection de glycopyrrolate seule, le BIS et l'AAI a augmenté également (changement maximal moyen du BIS 2.2 ± 3.4, P< 0.008, de l'AAI 3.5 ± 5.7, P< 0.012), mais cette augmentation était significativement moins importante que dans le groupe N (P< 0.012 pour le BIS, P< 0.027 pour l'AAI). Conclusion Ces résultats laissent supposer que la néostigmine peut altérer la profondeur de l'anesthésie. La diminution de la profondeur d'anesthésie enregistrée par le BIS et l'AAI correspond probablement à une réapparition brusque d'une stimulation centrale liée à la proprioception. Au contraire, lors de la curarisation, le tonus musculaire diminue de manière beaucoup plus progressive, pouvant ainsi expliquer l'absence d'effet sur la profondeur d'anesthésie. ABSTRACT Background. Conflicting effects of neuromuscular blocking drugs and anticholinesterases on depth of anaesthesia have been reported. Therefore we evaluated the effect of atracurium and neostigmine on bispectral index (BIS) and middle-latency auditory evoked potentials (AAI). Methods. We studied 40 patients (ASA I-II) aged 18-69 yr. General anaesthesia consisted of propofol and remifentanil by target-controlled infusion and neuromuscular function was monitored by electromyography. When BIS reached stable values, patients were randomly assigned to one of two groups. Group I received atracurium 0.4 mg kg-1 and, 5 min later, the same volume of NaCl 0.9%; group 2 received saline first and then atracurium. When the first twitch of a train of four reached 10% of control intensity, patients were again randomized: one group (N) received neostigmine 0.04 mg kg-1 and glycopyrrolate 0.01 mg kg-1, and the control group (G) received only glycopyrrolate. Results. Injection of atracurium or NaCl 0.9% had no effect on BIS or AAI. After neostigmine¬glycopyrrolate, BIS and AAI increased significantly (mean maximal change of BIS 7.1 [SD 7.5], P<0.001; mean maximal change of AAI 9.7 [10.5], P<0.001). When glycopyrrolate was injected alone BIS and AAI also increased (mean maximal change of BIS 2.2 [3.4], P=0.008; mean maximal change of AAI 3.5 [5.7], P=0.012), but this increase was significantly less than in group N (P=0.012 for BIS; P=0.027 for AAI). Conclusion. These data suggest that neostigmine alters the state of propofol-remifentanil anaesthesia and may enhance recovery.