A unified stability property in spin glasses

Gibbs' measures in the Sherrington-Kirkpatrick type models satisfy two asymptotic stability properties, the Aizenman-Contucci stochastic stability and the Ghirlanda-Guerra identities, which play a fundamental role in our current understanding of these models. In this paper we show that one can combine these two properties very naturally into one unified stability property

The marginally stable Bethe lattice spin glass revisited

Bethe lattice spins glasses are supposed to be marginally stable, i.e. their equilibrium probability distribution changes discontinuously when we add an external perturbation. So far the problem of a spin glass on a Bethe lattice has been studied only using an approximation where marginally stability is not present, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a marginally stable solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non-perturbative approach to the Bethe lattice spin glass problem using approximations that should be hopeful consistent with marginal stability.Comment: 23 pages Revised version, hopefully clearer that the first one: six pages longe

Short-range spin glasses and Random Overlap Structures

Properties of Random Overlap Structures (ROSt)'s constructed from the Edwards-Anderson (EA) Spin Glass model on $\Z^d$ with periodic boundary conditions are studied. ROSt's are $\N\times\N$ random matrices whose entries are the overlaps of spin configurations sampled from the Gibbs measure. Since the ROSt construction is the same for mean-field models (like the Sherrington-Kirkpatrick model) as for short-range ones (like the EA model), the setup is a good common ground to study the effect of dimensionality on the properties of the Gibbs measure. In this spirit, it is shown, using translation invariance, that the ROSt of the EA model possesses a local stability that is stronger than stochastic stability, a property known to hold at almost all temperatures in many spin glass models with Gaussian couplings. This fact is used to prove stochastic stability for the EA spin glass at all temperatures and for a wide range of coupling distributions. On the way, a theorem of Newman and Stein about the pure state decomposition of the EA model is recovered and extended.Comment: 27 page

PLATELET FUNCTION TEST FOR THE ASSESSMENT OF THROMBOSIS AND BLEEDING RISK IN CHD PATIENTS TAKING ANTIPLATELET MEDICATIONS

The review concerns on the testing of platelet function in Chd patients receiving antiplatelet medications.  the results are shown of the main large-scale studies demonstrating the relationship of the residual platelet activity level with the development of ishemic and hemorrhagic complications. the analysis is done of the causes of insufficient suppressing of platelet function as the response to clopidogrel. the guidelines of major international expert organizations are discussed on problem of sensitivity to aggregants testing and possible modification of antiplatelet treatment

Thermodynamics and Universality for Mean Field Quantum Spin Glasses

We study aspects of the thermodynamics of quantum versions of spin glasses. By means of the Lie-Trotter formula for exponential sums of operators, we adapt methods used to analyze classical spin glass models to answer analogous questions about quantum models.Comment: 17 page

The method of determining the forces in the tendon apparatus of human fingers

Being one of the most functionally loaded systems, the human hand and its anatomical structures are damaged quite often. Thus, injuries to the interphalangeal joints account for up to 60 % of all hand injuries. Post-traumatic arthrosis, contractures with persistent pain syndrome, stiffness and ankylosis of the joints are distinguished among the consequences of hand joint injuries. With the development of the endoprosthesis method, the use of which allows to restore the lost function of the organs of the musculoskeletal system, new opportunities are opening up in the rehabilitation of patients with various injuries of the joints of the hand. However, when using this method, there are certain complications associated with the wear of the implant, the reaction of the surrounding tissues to the material from which the prosthesis is made, and the design features of endoprostheses. That is, the success of treatment when using endoprostheses depends to some extent on the design of the implant. It is possible to carry out a primary analysis of the effectiveness of the proposed design of the endoprosthesis with the help of specialized software complexes. Despite the power of specialized software, building digital models of biological objects and performing calculations is quite a difficult task. In order to carry out a numerical study, in addition to knowing of the geometry of objects and their mechanical properties, it is also necessary to understand the conditions of interaction between the model fragments and the loading scheme. Aim. Develop a technique for analytical determination of forces in the tendons of the fingers. Materials and methods. The research was carried out using the provisions and methods of theoretical mechanics and resistance of materials. As a calculation case, this paper proposes to consider the determination of forces in the tendons of the index finger of the right upper limb. Results. As a result of the performed calculations, analytical expressions were obtained to determine the forces that occur in the flexor tendons of the index finger. Conclusions. The obtained analytical expressions allow us to estimate the magnitude of forces that occur in the tendons of the fingers. The results of the calculations can be used in the construction of digital models of the fingers and perform numerical studies

Enhanced fluorescence from X-Ray line coincidence pumping

Many resonant photo-pumped X-ray laser schemes that use a strong pump line such as Ly-α or He-α to populate the upper laser state of a separate lasing material have been proposed over the last four decades but none have been demonstrated. As a first step to creating a photo-pumped X-ray laser we have decided to reinvestigate some of these schemes at the Orion laser facility with the goal to show enhanced fluorescence. In particular we look at using the Ly-α or He-α K lines to pump the 1s–3p and 4p transitions in H-like Cl and see fluorescence on the 4f–3d line at 65 Å and the 3d–2p line at 23 Å. Preliminary experiments are presented that show a modest enhancement. As an alternative we also look at enhancing the 2p–2s line in Ne-like Ge at 65 Å using the Ly-α Mg line to photo-pump the 2s–3p line of Ne-like Ge. Calculations are presented that suggest modest enhancements of 2.5