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This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). The first part of the book studies the role of noise in finite ensembles of nanomagnetic particles: we show geometric ergodicity of a unique invariant measure of Gibbs type and study related properties of approximations of the SLLG, including time discretization and Ginzburg-Landau type penalization. In the second part we propose an implementable space-time discretization using random walks to construct a weak martingale solution of the corresponding stochastic partial differential equation which describes the magnetization process of infinite spin ensembles. The last part of the book is concerned with a macroscopic deterministic equation which describes temperature effects on macro-spins, i.e. expectations of the solutions to the SLLG. Furthermore, comparative computational studies with the stochastic model are included. We use constructive tools such as e.g. finite element methods to derive the theoretical results, which are then used for computational studies. The numerical experiments motivate an interesting interplay between inherent geometric and stochastic effects of the SLLG which still lack a rigorous analytical understanding: the role of space-time white noise, possible finite time blow-up behavior of solutions, long-time asymptotics, and effective dynamics.

Ferromagnetism --- Magnetization --- Magnetism --- Mathematics. --- Mathematical models. --- Ginzburg-Landau type penalization. --- Macroscopic deterministic equation. --- Macrospin magnetization dynamics. --- Magnetization dynamics. --- Stochastic Landau-Lifshitz-Gilbert equation.

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Frustrated spin systems have been first investigated five decades ago. Well-known examples include the Ising model on the antiferromagnetic triangular lattice studied by G H Wannier in 1950 and the Heisenberg helical structure discovered independently by A Yoshimori, J Villain and T A Kaplan in 1959. However, many properties of frustrated systems are still not well understood at present. Recent studies reveal that established theories, numerical simulations as well as experimental techniques have encountered many difficulties in dealing with frustrated systems. This volume highlights the lates

Magnetization. --- Rotational motion. --- Spin waves. --- Ferromagnetism. --- Waves, Spin --- Ferromagnetism --- Low temperatures --- Nuclear spin --- Gyrodynamics --- Revolving systems --- Rotating systems --- Spin (Dynamics) --- Dynamics --- Motion --- Magnetism

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As data transfer rates increase within the magnetic recording industry, improvements in device performance and reliability crucially depend on the thorough understanding on nonlinear magnetization dynamics at a sub-nanoscale level.This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the general topological and structural aspects of dynamics.An exceptional research tool, providing an advanced understand

Magnetization --- Nanoelectromechanical systems. --- Nonlinear systems. --- Aimantation --- Nanosystèmes électromécaniques --- Systèmes non linéaires --- Magnetization. --- Nanoelectromechanical systems --- Nonlinear systems --- Electricity & Magnetism --- Electrical Engineering --- Physics --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Systems, Nonlinear --- System theory --- Nano-electro-mechanical systems --- Nanoelectromechanical devices --- Nanomechanical devices --- Nanomechanical machines --- Nanomechanical systems --- Nanometer scale devices --- Nanoscale devices --- Nanoscale electronic devices --- Nanostructured devices --- NEMS (Nanotechnology) --- Nanoelectronics --- Nanostructures --- Magnetism --- Electromechanical devices

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This Special Issue contains ten papers which focus on emerging geophysical techniques for mineral exploration, novel modeling, and interpretation methods, including joint inversions of multi physics data, and challenging case studies. The papers cover a wide range of mineral deposits, including banded iron formations, epithermal gold–silver–copper–iron–molybdenum deposits, iron-oxide–copper–gold deposits, and prospecting forgroundwater resources.

geophysical electromagnetic modelling --- CSAMT --- CSRMT --- CSEM --- linear slip model --- grid-characteristic method --- elastic waves --- modeling and inversion --- seismic methods --- Zhuxi ore deposit --- control source --- dense array --- body wave tomography --- 3D focusing migration --- regularization --- conjugate migration direction --- fast imaging --- skarn-type iron deposits --- Gadarwara --- central India --- mineralization --- IOCG --- Narmada-Son-Lineament --- Magnetic anomaly --- preconditioned jacobian-free Newton-Krylov (JFNK) method --- undulating terrain --- gravity focusing density inversion --- adaptive equivalent-dimension --- polymetallic minerals --- unstructured mesh and structured mesh --- inversion --- induced polarization --- electromagnetics --- three-dimensional --- effective medium --- discovery --- phosphate mines --- geophysical exploration --- hydrogeology --- phosphate extraction --- gantour Basin --- Ouled Abdoun Basin --- Morocco --- iron deposit --- mineral exploration --- transient electromagnetic method --- magnetotelluric method --- single point continuous motion detection --- gravity --- magnetics --- magnetization vector --- remanent magnetization --- joint inversion --- n/a

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Water is indispensable to the functioning of most known life forms, and good water quality is essential to human health, social and economic development, and ecosystem functioning. Nonetheless, population growth has been leading to the degradation and depletion of fresh water resources. Under these circumstances, ensuring sufficient and safe water supplies for everyone is one of the Sustainable Development Goals (SDGs) set by the United Nations General Assembly in 2015 for the year 2030. For this goal to be achieved, the development and implementation of appropriate and efficient wastewater treatments that allow us to reduce water pollution is a major challenge.In view of the relevant contribution that polymers and polymeric materials may have in the conservation of the aquatic environment, namely by their application in wastewater treatment, original research and review papers on “Current trends and perspectives in the application of polymeric materials for wastewater treatment” were here brought together. For sure, this set of papers will be helpful and inspiring for readers interested in this topic.

waste silk --- dopamine --- iron particles --- wastewater treatment --- activated carbon microsphere --- sodium lignosulfonate --- Cr(VI) --- adsorption --- modified polymeric resin --- t-butyl phosphate impregnation --- polymer based adsorbents --- dye adsorption --- response surface methodology --- nano-MgO --- structural modification --- permeability --- antifouling --- color rejection --- POME --- fluoroquinolones --- ultrasound radiation --- mesoporous carbon --- desirability function --- thermodynamics --- wastewater --- cost analysis --- ciprofloxacin --- Polystyrene nanocomposite --- modifications --- characterizations --- antibiotics --- emerging contaminants --- pharmaceuticals --- polymeric adsorbents --- magnetization --- silver nanoparticles --- microfiltration --- membranes --- biofouling --- sputtering --- magnetite --- co-precipitation method --- Rhodamine B --- sodium dodecyl sulfate --- selective adsorption --- dysprosium --- neodymium --- fabric adsorbent --- radiation --- graft polymerization --- molecular imprinting --- polymer --- sertraline --- cross-reactivity --- SSRI --- template --- sorbent --- n/a