Spectral Renormalization Group for the Gaussian model and ψ4\psi^4 theory on non-spatial networks

We implement the spectral renormalization group on different deterministic non-spatial networks without translational invariance. We calculate the thermodynamic critical exponents for the Gaussian model on the Cayley tree and the diamond lattice, and find that they are functions of the spectral dimension, $\tilde{d}$. The results are shown to be consistent with those from exact summation and finite size scaling approaches. At $\tilde{d}=2$, the lower critical dimension for the Ising universality class, the Gaussian fixed point is stable with respect to a $\psi^4$ perturbation up to second order. However, on generalized diamond lattices, non-Gaussian fixed points arise for $2<\tilde{d}<4$.Comment: 16 pages, 14 figures, 5 tables. The paper has been extended to include a $\psi^4$ interactions and higher spectral dimension

Lower-Critical Spin-Glass Dimension from 23 Sequenced Hierarchical Models

The lower-critical dimension for the existence of the Ising spin-glass phase is calculated, numerically exactly, as $d_L = 2.520$ for a family of hierarchical lattices, from an essentially exact (correlation coefficent $R^2 = 0.999999$) near-linear fit to 23 different diminishing fractional dimensions. To obtain this result, the phase transition temperature between the disordered and spin-glass phases, the corresponding critical exponent $y_T$, and the runaway exponent $y_R$ of the spin-glass phase are calculated for consecutive hierarchical lattices as dimension is lowered.Comment: 5 pages, 2 figures, 1 tabl

Quantum Superposition States: Spin Glasses and Entanglement

Spin-glass (SG) is a fascinating system that has garnered significant attention due to its intriguing properties and implications for various research fields. One of the key characteristics of spin glasses is that they contain random disorder, which leads to many possible states of the system occurring with very close probabilities. We explore the concept of spin-glass superposition states (SSs), which are equiprobable SSs of possible electronic configurations. Using the Edward-Anderson (EA) type SG order parameter $q_{EA}$ and magnetization, we demonstrate that these SSs can be classified based on their contribution to distinguishing magnetic order (disorder), such as SG, (anti)ferromagnetic (FM), and paramagnetic (PM) phases. We also generalize these superposition states based on the system size and investigate the entanglement of these phase-based SSs using the negativity measure. We show that the SG order parameter can be utilized to determine the entanglement of magnetically ordered (disordered) phases, or vice versa, with negativity signifying magnetic order. Our findings provide further insight into the nature of quantum SSs and their relevance to SGs and quantum magnets. They have implications for various fields, including condensed matter physics, where SGs are a prototypical example of disordered systems. They are also relevant for other fields, such as neural networks, optimization problems, and information storage, where complex systems with random disorder behavior are greatly interested. Overall, our study provides a deeper understanding of the behavior of SGs and the nature of quantum SSs, with potential applications in various fields.Comment: 8 pages, 5 figure

Work and Heat Value of Bound Entanglement

Entanglement has recently been recognized as an energy resource which can outperform classical resources if decoherence is relatively low. Multi-atom entangled states can mutate irreversibly to so called bound entangled (BE) states under noise. Resource value of BE states in information applications has been under critical study and a few cases where they can be useful have been identified. We explore the energetic value of typical BE states. Maximal work extraction is determined in terms of ergotropy. Since the BE states are non-thermal, extracting heat from them is less obvious. We compare single and repeated interaction schemes to operationally define and harvest heat from BE states. BE and free entangled (FE) states are compared in terms of their ergotropy and maximal heat values. Distinct roles of distillability in work and heat values of FE and BE states are pointed out. Decoherence effects in dynamics of ergotropy and mutation of FE states into BE states are examined to clarify significance of the work value of BE states. Thermometry of distillability of entanglement using micromaser cavity is proposed.Comment: 22 pages, 10 figure

Halkla 'İlişkiler'; Örgütlerin İlişki Yerleştirme Stratejileri ve İlişki Çıktıları Üzerine Ampirik Bulgular

Bu çalışma ilişki yönetimi teorisini ardalanına alarak, örgütlerle kamuların ilişkilerinin yapısını çözümlemeyi amaçlamaktadır. Bu amaç doğrultusunda ilişki yetiştirme stratejileri ve çıktılarına ilişkin ampirik kanıtlar arayan çalışma halkla ilişkileri, kuramsal bağlarının koparılarak sadece uygulamaları yöneten bir anlayışla değil, örgüt ve kamularla ilişkileri yetiştirecek stratejilere ve ilişkilerin çıktılarına odaklanan bir yönle sunmaktadır. Çalışma ilişkideki her iki tarafın algılarını alan araştırması ile  değerlendirmiş, örgütlerin ilişki yetiştirme stratejilerinin etki büyüklükleri farklı olsa da ilişki çıktılarını etkilediği sonucuna ulaşmıştır. Ayrıca, örgütlerin ilişki çıktılarına ilişkin öngörüleri ile kamuların algılamaları arasında önemli farklar bulunmaktadır

Phase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of Hierarchical Models

Hierarchical lattices that constitute spatially anisotropic systems are introduced. These lattices provide exact solutions for hierarchical models and, simultaneously, approximate solutions for uniaxially or fully anisotropic d=3 physical models. The global phase diagrams, with d=2 and d=1 to d=3 crossovers, are obtained for Ising, XY magnetic models and percolation systems, including crossovers from algebraic order to true long-range order.Comment: 7 pages, 12 figures. Corrected typos, added publication informatio

(E,E)-1-(2-Hydroxy­imino-1-phenyl­ethyl­idene)semicarbazide monohydrate

In the title compound, C9H10N4O2·H2O, the oxime unit has an E configuration, and an intra­molecular N—H⋯N hydrogen bond results in the formation of a planar five-membered ring, which is oriented with respect to the aromatic ring at a dihedral angle of 74.82 (17)°. In the crystal structure, inter­molecular O—H⋯O and N—H⋯O hydrogen bonds link the mol­ecules and R 2 2(8) ring motifs are apparent

Vaccination in Individuals with Multiple Sclerosis – Part I

Multiple sclerosis (MS) is an autoimmune and demyelinating disease of the central nervous system. It is a chronic disease, and in the evaluation of all other health and vital processes, decisions should be made by considering the disease process and the drugs used by the patient. Since vaccination can be performed at every stage of life, from childhood to adulthood, immune system activity, except where it is characteristic of the vaccine, should be reviewed in patients with MS. In this review, the applications of different vaccines in individuals with MS are discussed in two separate sections