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critical temperature and condensed fraction of Bose-Einstein condensation in an external potential

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Chinese Physics C 2011年第8期35卷 722-724页

作者：张占军马青山张军 College of Physics Science and Technology Xinjiang University Department of Physics Xi'an Jiaotong University

Based on Bose-Einstein condensation at minimized momentum state, we get the expressions for the critical temperature and condensed fraction of Bose-Einstein condensation （BEC） in an external potential in the three-dimensional （3D） case. For the 1D and 2D cases, we present not only the critical temperature and corresponding particles but also the condition of BEC occurrence.

关键词： Bose-Einstein condensate (BEC) critical temperature minimum momentum state ideal Bose gas

Holographic energy loss near critical temperature in an anisotropic background

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Communications in Theoretical Physics 2023年第10期75卷 90-99页

作者： Qi Zhou Ben-Wei Zhang Key Laboratory of Quark and Lepton Physics(MOE)and Institute of Particle Physics Central China Normal UniversityWuhan 430079China

We study the energy loss of a quark moving in a strongly coupled quark gluon plasma under the influence of *** heavy quark drag force,diffusion coefficient,and jet quenching parameter are calculated using the Einstein–Maxwell-dilaton model,where the anisotropic background is characterized by an arbitrary dynamical parameter *** findings indicate that as the anisotropic factor A increases,the drag force and jet quenching parameter both increase,while the diffusion coefficient ***,we observe that the energy loss becomes more significant when the quark moves perpendicular to the anisotropy direction in the transverse *** enhancement of the rescaled jet quenching parameters near critical temperature Tc,as well as drag forces for a fast-moving heavy quark is observed,which presents one of the typical features of quantum chromodynamics phase transition.

关键词： EMD model energy loss jet quenching parameter drag force jet quenching critical temperature anisotropic QGP AdS/CFT

Estimation of critical temperature of Thermal Explosion for Trinitromethyl Explosives by Non-isothermal DSC

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Chemical Research in Chinese Universities 2010年第3期26卷 436-442页

作者： ZHANG Hai HU Rong-zu ZHAO Feng-qi GAO Hong-xu MA Hai-xia Department of Mathematics Institute of Data Analysis and Computation Chemistry Northwest University Xi ＇an 710069 P. R. China Xi ＇an Modern Chemistry Researeh Institute Xi ＇an 710065 P. R. China College of Chemical Engineering Northwest University Xi ＇an 710069 P. R. China Institute of System and Information Science Xi＇an Jiaotong University Xi ＇an 710049 P. R. China

Two general expressions and their six derived formulae for estimating the critical temperature（Tb） of thermal explosion for energetic materials（EMs） were derived from the Semenov＇s thermal explosion theory and eight non-isothermal kinetic equations via reasonable hypothesis. We can easily obtain the values of the initial temperature（T0i） at which DSC curve deviates from the baseline of the non-isothermal DSC curve of EMs, the onset temperature（Tei）, the exothermic decomposition reaction kinetic parameters and the values of Too and Te0 from the equation Toiorei=Tooore0＋α1β1＋α2β2＋...＋αL-2βi^L-2, i=1, 2, …, L and then calculate the values of Tb by means of the six derived formulae. The results obtained with the six derived calculating methods for six trinitromethyl explosives： bis（2,2,2- trinitroethyl-N-nitro） ethylene diamine（BTNEDA）, 2,2,2-trinitroethyl-4,4,4-trinitrobutyrate（TNETB）, bis（2,2,2- trinitroethyl） formal（BNTF）, bis（2,2,2-trinitroethyl-nitramine）（BTNNA）, 2,2,2-trinitroethyl-2,2,2-trinitroethyl-N- nitroamino acetate（TNTNNA） and tetrakis [2,2,2-trinitroethyl] orthoester（TTNOE） agree well with each other.

关键词： Trinitromethyl explosive critical temperature Thermal explosion Non-isothermal DSC

Size Effects of the critical temperature in Ferroelectric Thin Films

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Communications in Theoretical Physics 2007年第7期48卷 183-188页

作者： V.C.Lo Institute of Physics and Center for Condensed Matter Physics Chinese Academy of SciencesBeijing 100080China

The size effects of the critical behaviors for the systems of interacting spins are discussed extensively *** this paper,the finite-size dependence of the critical temperature and susceptibility of the ferroelectric thinfilm are investigated numerically based on the four-state Potts model with the nearest-neighbor interactions between thedipole *** four orientations of the domains exist in the ferroelectric film and the movement of the domainwalls determines the polarization switching process besides the boundary conditions of the *** critical exponentsare obtained and our investigations show that the boundary conditions play the important roles for the ferroelectricproperties of the thin films and the critical behavior of the thin films strongly depends on the feature of the surface.

关键词： ferroelectric thin film critical temperature size effects

Estimation of critical temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A_0 exp(bT)[1+(T–T_0 )b]f(α)

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Chemical Research in Chinese Universities 2010年第5期26卷 829-832页

作者： ZHAO Feng-qi HU Rong-zu ZHANG Hai GAO Hong-xu ZHAO Hong-an MA Hai-xia Xi ＇an Modern Chemistry Research Institute Xi ＇an 710065 P. R. China Department of Mathematics/nstitute of Data Analysis and Computed Chemistry College of Communication Science and Engineering College of Chemical Engineering Northwest University Xi ＇an 710069 P. R. China Institute of System and lnformation Science Xi＇an Jiaotong University Xi ＇an 710049 P. R. China

critical temperature（Tb） of thermal explosion for energetic materials is estimated from Semenov＇s thermal explosion theory and the non-isothermal kinetic equation da/dt=Aoexp（bT）[1＋（T-T0）b][（a） deduced via reasonable hypotheses, where To is the initial point of the deviation from the baseline of DSC curve. The final formula is （Tb-Te0）{ 1＋1/[1＋（ Tb-T00）b]}=1. We can easily obtain the initial temperature（T0/） and onset temperature（Tci） from the non-isothermal DSC curves, the values of Too and Tc0 from the equation TOi or ei=T00 or c0＋α1βi＋a2βi^2＋…＋aL-2L-2βiL-2, i=1,2,…L, the value of b from the equation： In[β/（Tei-T0i）]=ln[A0/G（a）]＋bTei, so as to calculate the value of Tb. The result obtained with this method coincides completely with the value of Tb obtained by Hu-Yang-Liang-Wu method.

关键词： critical temperature Thermal exolosion DSC Energetic material Non-isothermal

A New Method Based on the Non-isothermal Kinetic Equation to Estimate the critical temperature of Thermal Explosion for Energetic Materials Using Non-isothermal DSC

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Journal of Shanghai Jiaotong university(Science) 2011年第2期16卷 247-251页

作者：张海胡俊英胡荣祖赵凤起高红旭 Department of Mathematics Northwest University Institute of System and Information Science Xi'an Jiaotong University Xi'an Modern Chemistry Research Institute

A method for estimating the critical temperature of thermal explosion for energetic materials using differential scanning calorimetry (DSC) measurement is derived from the Semenov's thermal explosion theory and the non-isothermal kinetic equation based on Harcourt-Esson's kinetic *** result obtained from this method coincides completely with that of the Hu-Yang-Liang-Wu method.

关键词： critical temperature thermal explosion differential scanning calorimetry (DSC) non-isothermal

Minimum secure speed of fully mechanized coal face based on critical temperature of coal spontaneous combustion

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Journal of Coal Science & Engineering(China) 2013年第2期19卷 147-152页

作者： Wei LIU Yue-Ping QIN Yong-Jiang HAO Tian-Zhu GUI Jing-Yan JIA Faculty of Resources & Safety Engineering China University of Mining & Technology (Beijing) Beijing 100083 China

The critical temperature theory of spontaneous combustion of coal and the numerical simulation method are used to explore the minimum secure speed of fully mechanized coal face to prevent the spontaneous combustion in goaf. Combined with the actual situation of workface 31005 in a coal mine, the highest temperatures in goal at different advancing speeds were obtained by the numerical simulation of spontaneous combustion in goal, and then a power function equation between the highest temperature and the advancing speed was achieved by regression analysis. The advancing speed corresponding to the critical temperature value was taken as the minimum safe speed of workface based on the equation. Finally, the accuracy and reliability of the speed were verified by the actual advancing process of workface 31005. The results of this research show that the new judgment method of the minimum safety speed has a higher value to be applied in the field.

关键词： goal spontaneous combustion critical temperature workface advancing speed

critical temperature below the Curie temperature of ferroelectric ceramics PZT

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Journal of Advanced Dielectrics 2021年第1期11卷 40-46页

作者： D.V.Kuzenko Science&Technology Center“Reaktivelektron”of the National Academy Science of Ukraine Bakinskikh Komissarov Street 83049 DonetskUkraine

The article presents the results of research the pre-transitional features of the behavior of solid solutions based on lead *** presence of a“special”critical temperature T_(d)on the temperature dependences of the permittivityε(T)and the remanent polarization P_(r)(T),preceding the temperature of the paraelectric phase transition at the Curie temperature T_(C),is *** the temperature range Ttemperature range T_(d)temperature range T_(d)temperatures T_(d)

关键词： PZT depolarization domain structure critical temperature Curie temperature

Determination of the critical temperature and critical Pressure of Five Compounds

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Chinese Journal of Chemical Engineering 2002年第4期10卷 473-475页

作者：马沛生高进夏淑倩 SchoolofChemicalEngineeringandTechnology TianjinUniversityTianjin300072China

The critical properties of five compounds, including propanal,butanal, 1-pentanal, 2-methel butanal and trimer of ethanal, weredetermined for the first time by a new capillary quick-flow *** apparatus was improved with a capillary tube and checked withhexane and 10heptene as standard reagents. The experimental resultsproved that the determination of critical properties by quick-flowmethod with a capillary tube apparatus was successful.

关键词： critical temperature critical pressure quick-flow method