Thermodynamics of SU(2) bosons in one dimension

On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and $\delta$-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic Bethe ansatz (TBA). It is shown that the ground state is an isospin "ferromagnetic" state by the method of TBA, and at high temperature the magnetic property is dominated by Curie's law. We obtain the exact result of specific heat and entropy in strong coupling limit which scales like $T$ at low temperature. While in weak coupling limit, it is found there is still no Bose-Einstein Condensation (BEC) in such 1D system.Comment: 7 page

Reconsideration on the elastic damage/degradation theory for the modeling of microcrack closure-reopening (MCR) effects

AbstractDespite the substantial and noteworthy contributions, the modeling of damage induced anisotropy remains an unsolved issue, especially when the microcrack closure-reopening (MCR) effects are accounted for. Theoretically speaking, the most challenging problem might be the lack of energy conservation for all the existing models employing the spectral decomposition of the stress or strain tensor and the associated positive/negative projection operators (Carol and Willam, 1996). In this paper this crucial problem is solved by introducing a new definition of thermodynamically consistent projection operators into the classical elastic damage/degradation model. The orthogonality between the rates of the new projection operators and the stress (or strain) automatically guarantees the fulfillment of energy conservation under any arbitrary (proportional or non-proportional) load history. Moreover, with this extra orthogonal property the thermodynamically consistent projection operators can be exclusively determined in a unique form. The above advantages lend to their promising use in the modeling of damage induced anisotropy and MCR effects simultaneously. With the aid of the thermodynamically consistent projection operators, the existing elastic damage/degradation models can be reformulated so that the energy conservation is restored only with minor modifications. As a prototype example, a stress-based elastic damage/degradation model with multiple loading surfaces is developed analogously to the classical multisurface plasticity model. Finally, a simple closed-loop load path accompanied with rotation of principal stress directions is constructed to verify its thermodynamically consistency

Failure Mechanism Analysis and Failure Number Prediction of Wind Turbine Blades

Pertinent to the problems that wind turbine blades operate in complicated conditions, frequent failures and low replacement rate as well as rational inventory need, this paper, we build a fault tree model based on in-depth analysis of the failure causes. As the mechanical vibration of the wind turbine takes place first on the blades, the paper gives a detailed analysis to the Failure mechanism of blade vibration. Therefore the paper puts forward a dynamic prediction model of wind turbine blade failure number based on the grey theory. The relative error between its prediction and the field investigation data is less than 5%, meeting the actual needs of engineering and verifying the effectiveness and applicability of the proposed algorithm. It is of important engineering significance for it to provide a theoretical foundation for the failure analysis, failure research and inventory level of wind turbine blades

1-(4-Chloro­phen­yl)-1H-pyrazol-3-ol

In the title compound, C9H7ClN2O, the dihedral angle between the aromatic ring planes is 11.0 (2)°. In the crystal, inversion dimers linked by pairs of O—H⋯N hydrogen bonds generate R 2 2(8) loops

EVOLUTION OF THE NORTHERN ALXA BLOCK IN THE PALEOZOIC: CONSTRAINTS FROM GEOCHRONOLOGY, GEOCHEMICAL CHARACTERISTICS AND ZIRCON HF ISOTOPES OF GRANITOIDS

The Alxa block is situated to the south of the CAOB, situated to the east of the Tarim block and west of the NCC. Voluminous intrusive and extrusive rocks outcrop in the northern Alxa block and adjacent southern CAOB. Most of them are thought to be related to the closure of the Paleo-Asia Ocean and subsequent collision [Wu, 1993; Wu et al., 1998; Zhang et al., 2013; Dan et al., 2016].The Alxa block is situated to the south of the CAOB, situated to the east of the Tarim block and west of the NCC. Voluminous intrusive and extrusive rocks outcrop in the northern Alxa block and adjacent southern CAOB. Most of them are thought to be related to the closure of the Paleo-Asia Ocean and subsequent collision [Wu, 1993; Wu et al., 1998; Zhang et al., 2013; Dan et al., 2016]