Long Range Order for Lattice Dipoles

We consider a system of classical Heisenberg spins on a cubic lattice in dimensions three or more, interacting via the dipole-dipole interaction. We prove that at low enough temperature the system displays orientational long range order, as expected by spin wave theory. The proof is based on reflection positivity methods. In particular, we demonstrate a previously unproven conjecture on the dispersion relation of the spin waves, first proposed by Fröhlich and Spencer, which allows one to apply infrared bounds for estimating the long distance behavior of the spin-spin correlation functions.     

Long Range Proton Couplings in Estrones

^4,6J_HH-long range couplings in an estrone-type molecule are observed and demonstrated to be helpful for the complete proton chemical shift assignment.     

远程束—束作用的研究

已有的和建造中的对撞机的运行常常被束－束相互作用引起的非线性效果所限制,特别是大流强的束流,如正在研究中的ＢＥＰＣ多束团对撞方案,ＢＥＰＣⅡ上的束－束相互作用非常复杂,束团除了在南对撞点正撞外,还在环上其余１１个位置有远程相互作用,本文计算了远程束－束相互作用的频移和频散。     

Phase Diagram of Ising Systems with Additional Long Range Forces

We consider ferromagnetic Ising systems where the interaction is given by the sum of a fixed reference potential and a Kac potential of intensity λ≥0 and scaling parameter γ>0$. In the Lebowitz Penrose limit γ→0⁺$ the phase diagram in the (T,λ) positive quadrant is described by a critical curve λ^mf(T), which separates the regions with one and two phases, respectively below and above the curve. We prove that if $λ>^mf(T), i.e. above the curve, there are at least two Gibbs states for small values of γ. If instead λ<λ^mf(T) and if the reference Gibbs state (i.e. without the Kac potential) satisfies a mixing condition at the temperature T, then, at the same temperature the full interaction (i.e. with also the Kac potential) satisfies the Dobrushin Shlosman uniqueness condition for small values of γ so that there is a unique Gibbs state. Received: 9 April 1996 / Accepted: 26 November 1996     

利用二维相关红外光谱方法确定气体最优定量波数区间

气体检测中需选用最优波数范围来进行气体光谱的定量分析。传统波数范围的选取主要根据标准光谱的特征吸收,存在抗干扰性较差、在实际情况中容易出现较大偏差的问题。文章将二维相关红外光谱方法用于气体检测,对SO₂,NO及NO₂进行光谱结构分析和光谱信息发掘,以确定最优定量波数区间。以浓度值为微扰量,用含不同浓度某气体成分的一组红外吸收光谱,做二维相关得到SO₂,NO及NO₂的动态光谱,利用同步相关光谱和异步相关光谱来分析对气体浓度变化最敏感的波数区间,确定了被测气体定量分析的优选波数范围,包括一系列独立的波数点和连续的波数区间。作为一种新颖的最优定量波数区间选取方法,其得到的结论与理想的分析谱带选取的结果相吻合,证明了此方法的有效性。     

Evaporating Black Holes and Long Range Scaling

For an effective treatment of the evaporation process of a large black hole the problem concerning the role played by the fluctuations of the (vacuum) stress tensor close to the horizon is addressed. We present arguments which establish a principal relationship between the outwards fluctuations of the stress tensor close to the horizon and quantities describing the onset of the evaporation process. This suggest that the evaporation process may be described by a fluctuation-dissipation theorem relating the noise of the horizon to the black hole evaporation rate.     

Critical Behavior of Ising Model with Long Range Correlated Quenched Impurities

The theoretic renormalization-group approach is applied to the study of the critical behavior of the ddimensional Ising model with long-range correlated quenched impurities, which has a power-like correlations r^-(d-p). The asymptotic scaling law is studied in the framework of the expansion in e = 4 - d. In d ~ 4, the dynamic exponent z .is calculated up to the second order in p with ρ= O(ε^1/2). The shape function is obtained in one-loop calculation. When d = 4, the logarithmic corrections to the critical behavior are found. The finite size effect on the order parameter relaxation rate is also studied.     

Critical Behavior of Ising Model with Long Range Correlated Quenched Impurities

The theoretic renormalization-group approach is applied to the study of the critical behavior of the ddimensional Ising model with long-range correlated quenched impurities, which has a power-like correlations r-(d-ρ).The asymptotic scaling law is studied in the framework of the expansion in ε = 4 - d. In d ＜ 4, the dynamic exponent z .is calculated up to the second order in ρ with ρ = O(ε1/2). The shape function is obtained in one-loop calculation.When d = 4, the logarithmic corrections to the critical behavior are found. The finite size effect on the order parameter relaxation rate is also studied.     

Quantitative Measurement of Long Range Nuclear Overhauser Enhancement

Measurement of nuclear Overhauser enhancement is one of the mainstays of structural studies of molecules in solution. Measurements, particularly over long distances, are often compromised by spin diffusion. A robust and accurate method for measuring nuclear Overhauser enhancements that are largely free of spin diffusion effects is presented. The effects of using imperfect radiofrequency pulses are considered and experimental data are presented for Amphotericin B.     

New Spin Generalisation for Long Range Interaction Models

We study new interactions between degrees of freedom for Calogero, Sutherland and confined Calogero spin models. These interactions are encoded by the generators of the Lie algebra so(N) or sp(N). We find the symmetry algebras of these new models: the half-loop algebra based on so(N) or sp(N) for the Calogero models and the Yangian of so(N) or sp(N) for the two types of other models. Surprisingly, these symmetry occur only for a specific value of the coupling constant.Dedicated to my PhD supervisor and friend D. Arnaudon.     

Long Range Potential Component in the NN Force

The Fourier transform of the Born term of the AGS equation in the NNπ-system generates an energy-dependent Yukawa-type local NN-quasi-potential. An appropriate average with respect to energy suggests a variety of local NN-potentials with different ranges: 1/r(r + a) ^m?1 (for 2 ≤ m) where in the long range region it becomes 1/r ^m , while in the short range region the Yukawa-type potential e ^?(m?1)r/a /r results. Therefore, one finds that the Yukawa potential is automatically accompanied by an additional longer range interaction 1/r ^m . For m = 2, the potential 1/r ² produces Efimov-like bound states in the deuteron spectra. The m = 6, 7 cases lead to the Van der Waals potential.     

EchSGB远距离照明条件下的焦开关

推导了复变量双曲余弦平方-高斯光束(EchSGB)被无光阑透镜聚焦后的轴上光强分布公式,在此基础上通过数值计算和分析发现,EchSGB只有在远距离照明条件下才存在焦开关现象.焦点跃变位置随光束参数和对应高斯光束的菲涅尔数不同而变化,得到了EchSGB在平顶情形下产生焦开关的相对入射距离为11.13,表明在远距离照明和无光阑透镜精密调焦时,对于EchSGB要考虑焦开关现象的影响.     

大动态范围双维位置灵敏多叠层探测系统

描述了一种用于中能重离子核反应实验研究的大动态范围双维位置灵敏多叠层探测系统.该探测系统由纵向电场气体电离室(IC)、大面积双维位置灵敏穿透型Si探测器(PSSD)、大面积Si光敏二极管(SPD)和用光二极管读出的16单元CsI(Tl)闪烁体探测器阵列组成.用a放射源Am(5.486MeV)测得的IC、PSSD的能量分辨率分别为3%和2.6%.在25MeV/u ⁴⁰Ar诱发的核反应中,探测到的a粒子的能量动态范围为2—130MeV,此探测系统清楚地分辨出Z=2到Z=21的元素,对Z=18的Z分辨本领Z/△Z≈44.5,位置分辨为0.86±0.03mm(FWHM).     

One-Dimensional Ising Models with Long Range Interactions: Cluster Expansion,Phase-Separating Point

We consider the phase separation problem for the one-dimensional ferromagnetic Ising model with long-range two-body interaction, J(n) = n ^?2+α , where ${n\in {\rm {I\!N}}}$ denotes the distance of the two spins and ${\alpha \in [0,\alpha_+[}$ with α ₊ = (log 3)/(log 2) ?1. We prove that when α = 0 the localization of the phase separation fluctuates macroscopically with a non-uniform explicit limiting law, while when 0 < α < α ₊ the macroscopic fluctuations disappear and mesoscopic ones appear with a gaussian behavior when conveniently scaled. The mean magnetization profile is also given.     

Taming Griffiths' Singularities in Long Range Random Ising Models

We study long range random Ising models and develop modified high temperature and strong magnetic field expansions that give decay of truncated correlation functions and uniqueness of Gibbs states, in spite of the presence of Griffiths' singularities. Received: 30 September 1996 / Accepted: 18 February 1997     

On the Nonextensivity of the Long Range X-Y Model

It will be given analytical and numerical evidence supporting that the X-Y model yields an extensive, i.e., proportional to the number of degrees of freedom N, internal energy U for any value of the interaction range.     

Long Range 13C Couplings in Hexamethylphosphoramide and Dimethylsulphoxide

One bond ¹³C–¹H couplings have been extensively studied and their magnitudes explained on the basis of two contributing factors, namely the percentage “s” character of the bond¹ and the carbon Z value, or effective nuclear charge². To date however, little has been reported on ¹³C couplings over more than one bond, the main reason being the previous experimental difficulties in measuring these small couplings.     

Phase Transition in the 1d Random Field Ising Model with Long Range Interaction

We study one–dimensional Ising spin systems with ferromagnetic, long–range interaction decaying as n ^−2+α , , in the presence of external random fields. We assume that the random fields are given by a collection of symmetric, independent, identically distributed real random variables, gaussian or subgaussian. We show, for temperature and strength of the randomness (variance) small enough, with IP = 1 with respect to the random fields, that there are at least two distinct extremal Gibbs measures. Supported by: GDRE 224 GREFI-MEFI, CNRS-INdAM. P.P was also partially supported by INdAM program Professori Visitatori 2007; M.C and E.O were partially supported by Prin07: 20078XYHYS.     

Classification of Phase Transitions and Ensemble Inequivalence, in Systems with Long Range Interactions

Systems with long range interactions in general are not additive, which can lead to an inequivalence of the microcanonical and canonical ensembles. The microcanonical ensemble may show richer behavior than the canonical one, including negative specific heats and other non-common behaviors. We propose a classification of microcanonical phase transitions, of their link to canonical ones, and of the possible situations of ensemble inequivalence. We discuss previously observed phase transitions and inequivalence in self-gravitating, two-dimensional fluid dynamics and non-neutral plasmas. We note a number of generic situations that have not yet been observed in such systems.