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Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model

Communications in Computational Physics 2013年第7期14卷 355-369页

作者： j.kaupuzs R.V.N.Melnik j.Rimsans Institute of Mathematics and Computer Science University of Latvia29 Rai¸na BoulevardLV1459RigaLatvia Institute of Mathematical Sciences and Information Technologies University of Liepaja14 Liela StreetLiepaja LV-3401Latvia Wilfrid Laurier University WaterlooOntarioCanadaN2L 3C5

The singularity of specific heat CV of the three-dimensional Ising model is studied based on Monte Carlo data for lattice sizes L≤*** of two data sets,one corresponding to certain value of the Binder cumulant and the other-to the maximum of CV,provide consistent values of C0 in the ansatz CV(L)=C0+AL^(a/n) at large L,if a/n=0.196(6).However,a direct estimation from our Cmax V data suggests that a/n,most probably,has a smaller value(e.g.,a/n=0.113(30)).Thus,the conventional power-law scaling ansatz can be questioned because of this *** have found that the data are well described by certain logarithmic ansatz.

关键词： Ising model Monte Carlo simulation specific heat finite-size scaling critical exponents

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Advanced Monte Carlo Study of the Goldstone Mode Singularity in the 3D XY Model

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Communications in Computational Physics 2008年第6期4卷 124-134页

作者： j.kaupuzs R.V.N.Melnik j.Rimsans Institute of Mathematics and Computer Science University of Latvia29 Rai¸na BoulevardLV1459RigaLatvia. Wilfrid Laurier University WaterlooOntarioN2L 3C5Canada

Advanced Monte Carlo simulations of magnetisation and susceptibility in 3D XY model are performed at two different coupling constantsβ=0.55 andβ=0.5,completing our previous simulation results with additional data points and extending the range of the external field to twice as small values as previously reported(h≥0.00015625).The simulated maximal lattices sizes are also increased from L=384 to L=*** aim is an improved estimation of the exponentρ,describing the Goldstone mode singularity M(h)=M(+0)+chρat h→0,where M is the *** data reveal some unexpected small *** makes the estimation by manyparameter fits of the magnetisation data unstable,and we are looking for an alternative *** best estimateρ=0.555(17)is extracted from the analysis of effective exponents determined from local fits of the susceptibility *** method gives stable and consistent results for both values ofβ,taking into account the leading as well as the subleading correction to *** report also the values of spontaneous magnetisation.

关键词： Monte Carlo simulation XY model magnetisation and susceptibility high performance computing coupling constants singularities lattices.

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Correlation Functions, Universal Ratios and Goldstone Mode Singularities in n-Vector Models

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Communications in Computational Physics 2014年第5期15卷 1407-1430页

Correlation functions in the O(n)models below the critical temperature are *** on Monte Carlo(MC)data,we confirm the fact stated earlier by Engels and Vogt,that the transverse two-plane correlation function of the O(4)model for lattice sizes about L=120 and small external fields h is very well described by a Gaussian ***,we show that fits of not lower quality are provided by certain non-Gaussian *** have also tested larger lattice sizes,up to L=*** Fourier-transformed transverse and longitudinal two-point correlation functions have Goldstone mode singularities in the thermodynamic limit at k→0 and h=+0,i.e.,G_(⊥)(k)≈ak−λ_(⊥)and G_(||)(k)≈bk−λk,*** a and b are the amplitudes,k=|k|is the magnitude of the wave vector *** exponentsλ_(⊥),λk and the ratio bM^(2)/a^(2),where M is the spontaneous magnetization,are universal according to the GFD(grouping of Feynman diagrams)*** we find that the universality follows also from the standard(Gaussian)theory,yielding bM^(2)/a^(2)=(n−1)/*** MC estimates of this ratio are 0.06±0.01 for n=2,0.17±0.01 for n=4 and 0.498±0.010 for n=*** to these and our earlier MC results,the asymptotic behavior and Goldstone mode singularities are not exactly described by the standard *** is expected from the GFD *** have found appropriate analytic approximations for G_(⊥)(k)and G_(||)(k),well fitting the simulation data for small *** have used them to test the Patashinski-Pokrovski relation and have found that it holds approximately。

关键词： n-component vector models correlation functions Monte Carlo simulation Goldstone mode singularities.

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Error field penetration in j-TEXT tokamak based on two-fluid drift-MHD model

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Chinese Physics B 2024年第4期33卷 545-551页

作者：王文徐涛张仪 the j-TEXT team State Key Laboratory of Advanced Electromagnetic Technology International Joint Research Laboratory of Magnetic Confinement Fusion and Plasma PhysicsSchool of Electrical and Electronic EngineeringHuazhong University of Science and TechnologyWuhan 430074China

An externally generated resonant magnetic perturbation can induce complex non-ideal MHD responses in their resonant *** have studied the plasma responses using Fitzpatrick's improved two-fluid model and program *** calculated the error field penetration threshold for *** addition,we find that the island width increases slightly as the error field amplitude increases when the error field amplitude is below the critical penetration ***,the island width suddenly jumps to a large value because the shielding effect of the plasma against the error field disappears after the *** scanning the natural mode frequency,we find that the shielding effect of the plasma decreases as the natural mode frequency ***,we obtain the m/n=2/1 penetration threshold scaling on density and temperature.

关键词： plasma responses drift-MHD model error field penetration

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Storing Freshwater Versus Storing Electricity in Power Systems with High Freshwater Electric Demand

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journal of Modern Power Systems and Clean Energy 2024年第2期12卷 323-333页

作者： Mubarak j.Al-Mubarak Antonio j.Conejo Department of Electrical and Computer Engineering The Ohio State UniversityColumbusOHUSA Department of Electrical Engineering Kuwait UniversityP.O.Box 5969Safat 13060Kuwait Department of Integrated Systems Engineering and the Department of Electrical and Computer Engineering The Ohio State UniversityColumbusOH 43210USA IEEE

We consider a power system whose electric demand pertaining to freshwater production is high(high freshwater electric demand),as in the Middle East,and investigate the tradeoff of storing freshwater in tanks versus storing electricity in batteries at the day-ahead operation *** storing freshwater and storing electricity increase the actual electric demand at valley hours and decrease it at peak hours,which is generally beneficial in term of cost and ***,to what extent?We analyze this question considering three power systems with different generation-mix configurations,i.e.,a thermal-dominated mix,a renewable-dominated one,and a fully renewable *** generation-mix configurations are inspired by how power systems may evolve in different countries in the Middle *** production uncertainty is compactly modeled using chance *** draw conclusions on how both storage facilities(freshwater and electricity)complement each other to render an optimal operation of the power system.

关键词： Power system operation freshwater production and transportation coordination day-ahead scheduling

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