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Asymptotic equality of the isolated and the adiabatic susceptibility 孤立和绝热磁化率的渐近相等
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90379-6
T.P. Valkering, W.J. Caspers
{"title":"Asymptotic equality of the isolated and the adiabatic susceptibility","authors":"T.P. Valkering,&nbsp;W.J. Caspers","doi":"10.1016/0031-8914(74)90379-6","DOIUrl":"10.1016/0031-8914(74)90379-6","url":null,"abstract":"<div><p>Many-particle systems with a hamiltonian of the form <em>H</em> = <em>A</em> + <em>hB</em>, <em>h</em> being a parameter, are discussed. In particular, for a certain class of these systems, a criterion is derived for the asymptotic equality of the isolated and the adiabatic susceptibility or, equivalently, for the ergodicity of <em>B</em>. This criterion states that, for sufficiently large particle number, any hermitian operator polynomial in <em>h</em> of any degree <em>J</em> that commutes with <em>H</em>(<em>h</em>) can be written as a linear combination of the powers <em>H</em><sup>0</sup>, …, <em>H</em><sup><em>J</em></sup> with polynomial coefficients.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 516-526"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90379-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83302648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytic subject index 分析主题索引
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90387-5
{"title":"Analytic subject index","authors":"","doi":"10.1016/0031-8914(74)90387-5","DOIUrl":"https://doi.org/10.1016/0031-8914(74)90387-5","url":null,"abstract":"","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 572-577"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90387-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91969549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conservation laws in the hierarchical model 层次模型中的守恒定律
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90382-6
H. Van Beyeren, G. Gallavotti, H. Knops
{"title":"Conservation laws in the hierarchical model","authors":"H. Van Beyeren,&nbsp;G. Gallavotti,&nbsp;H. Knops","doi":"10.1016/0031-8914(74)90382-6","DOIUrl":"10.1016/0031-8914(74)90382-6","url":null,"abstract":"<div><p>An exposition of the renormalization-group equations for the hierarchical model is given. Attention is drawn to some properties of the spin distribution functions which are conserved under the action of the renormalization group.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 541-548"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90382-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72723468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Low-resolution low-frequency depolarized light (VH) scattering from binary mixtures of fluids and from pure fluids of nonrigid molecules 二元流体混合物和非刚性分子纯流体的低分辨率低频去偏振光(VH)散射
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90380-2
N.D. Hershon, I. Oppenheim
{"title":"Low-resolution low-frequency depolarized light (VH) scattering from binary mixtures of fluids and from pure fluids of nonrigid molecules","authors":"N.D. Hershon,&nbsp;I. Oppenheim","doi":"10.1016/0031-8914(74)90380-2","DOIUrl":"10.1016/0031-8914(74)90380-2","url":null,"abstract":"<div><p>A simple formalism is presented here which describes low-resolution low-frequency depolarized light scattering from binary mixtures of fluids of nonspherical molecules and from pure fluids of nonrigid molecules, each one containing two segments. It is shown that when the <em>k</em> dependent features are negligible these spectra can contain two lorentzians because only dissipative modes are possible. The results presented here can also be used to describe dielectric relaxation from similar systems.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 527-532"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90380-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76282353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A generalization of faxén's theorem to nonsteady motion of a sphere through a compressible fluid in arbitrary flow 在任意流动的可压缩流体中球非定常运动的推广
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90378-4
D. Bedeaux, P. Mazur
{"title":"A generalization of faxén's theorem to nonsteady motion of a sphere through a compressible fluid in arbitrary flow","authors":"D. Bedeaux,&nbsp;P. Mazur","doi":"10.1016/0031-8914(74)90378-4","DOIUrl":"10.1016/0031-8914(74)90378-4","url":null,"abstract":"<div><p>The generalization of the Faxén theorem for the force on a sphere in an incompressible fluid to the general nonstationary case derived in a previous paper, is further extended to the case of a compressible fluid.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 505-515"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90378-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80804202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 132
Application of the spherical approximation to several specific dipolar crystals 球面近似在几种特定偶极晶体中的应用
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90375-9
M. Marrenga , Th. Niemeijer
{"title":"Application of the spherical approximation to several specific dipolar crystals","authors":"M. Marrenga ,&nbsp;Th. Niemeijer","doi":"10.1016/0031-8914(74)90375-9","DOIUrl":"10.1016/0031-8914(74)90375-9","url":null,"abstract":"<div><p>The spherical approximation is considered for dipole—dipole interactions. Numerical calculations of the critical temperature of two compounds, Ce<sub>2</sub>Mg<sub>3</sub>(NO<sub>3</sub>)<sub>12</sub>⋯24H<sub>2</sub>O and Dy(C<sub>2</sub>H⋯SO<sub>4</sub>)<sub>3</sub> ⋯9H<sub>2</sub>O, are presented. Good agreement with experimental data is found. The Luttinger—Tisza calculations are shown to give the exact classical ground state in these two compounds, whereas this calculation is shown to fail in Er(C<sub>2</sub>H<sub>5</sub>⋯SO<sub>4</sub>)<sub>3</sub>⋯9H<sub>2</sub>O.</p><p>It is found that in some systems the longe-range effects can be described by introducing an extra degree of freedom in the system, and the critical behaviour is therefore similar to that of a system with short-range interactions on a four-dimensional lattice.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 469-489"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90375-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82556849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Self correlations in gases of linear molecules with application to thermal-neutron scattering 线性分子气体中的自相关及其在热中子散射中的应用
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90369-3
M. GeÇkinli , J.H. Ferziger
{"title":"Self correlations in gases of linear molecules with application to thermal-neutron scattering","authors":"M. GeÇkinli ,&nbsp;J.H. Ferziger","doi":"10.1016/0031-8914(74)90369-3","DOIUrl":"10.1016/0031-8914(74)90369-3","url":null,"abstract":"<div><p>A phenomenological linear Boltzmann equation is derived to study the classical motion of a rigid linear test molecule in a gaseous medium. The state of the molecule is defined by its center- of-mass coordinate and velocity, rotation frequency, orientation of its angular momentum and a rotor phase angle. The thermal-neutron scattering cross section is derived from a Fourier transform of a density distribution function which satisfies the Boltzmann equation with a suitable initial condition. Cross sections are calculated for some models to indicate the effect of coupling of center of mass and internal behavior.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 347-364"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90369-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84643069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effect of density-gradient terms in the free energy on density fluctuations near the critical point 自由能中密度梯度项对临界点附近密度波动的影响
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90377-2
O.K. Rice, D.R. Chang
{"title":"The effect of density-gradient terms in the free energy on density fluctuations near the critical point","authors":"O.K. Rice,&nbsp;D.R. Chang","doi":"10.1016/0031-8914(74)90377-2","DOIUrl":"10.1016/0031-8914(74)90377-2","url":null,"abstract":"<div><p>Density-gradient terms may play a role in controlling density fluctuations in a fluid. It is shown that if these terms depend on the square of the density gradient they diminish in importance as the critical point is approached, in ordinary fluids and in the two-dimensional Ising lattice, but not in the three-dimensional Ising lattice or in four-dimensional systems. However, with a slight deviation from the square-gradient law, the gradient term may parallel the compressibility term, and it seems probable that this does occur, in conformity with Widom's hypothesis that the correlation length parallels the thickness of an interface between two phases. Critical-exponent relationships involved are discussed, and possible effects on the correlation length are considered. The introduction of a new critical singularity is discussed.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 500-504"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90377-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81382840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Perturbations of a resistive decaying equilibrium 阻性衰变平衡的扰动
Physica Pub Date : 1974-12-15 DOI: 10.1016/0031-8914(74)90383-8
J.G. Kruger
{"title":"Perturbations of a resistive decaying equilibrium","authors":"J.G. Kruger","doi":"10.1016/0031-8914(74)90383-8","DOIUrl":"10.1016/0031-8914(74)90383-8","url":null,"abstract":"<div><p>The perturbation of a uniformly decaying equilibrium is studied within the framework of resistive magnetodynamics. If the time of decay of the equilibrium state is large, the eigenmodes are the same as in nonresistive MHD. Nonresistive instabilities persist but the oscillating displacements have an increasing amplitude and an increasing period.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 3","pages":"Pages 549-555"},"PeriodicalIF":0.0,"publicationDate":"1974-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90383-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82789439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Résonances antiferromagnétiques de CoCl2.6H2O; polarisation, influence de la fréquence et de la température CoCl2.6H2O反铁磁共振;极化，频率和温度的影响
Physica Pub Date : 1974-12-01 DOI: 10.1016/0031-8914(74)90067-6
H. Benoit, W. Ghidalia
{"title":"Résonances antiferromagnétiques de CoCl2.6H2O; polarisation, influence de la fréquence et de la température","authors":"H. Benoit,&nbsp;W. Ghidalia","doi":"10.1016/0031-8914(74)90067-6","DOIUrl":"10.1016/0031-8914(74)90067-6","url":null,"abstract":"<div><p>The experimental study of the coupling between the magnetizations and the high-frequency field <em>h</em> allows us to observe four resonances <em>R</em><sub>1</sub>, <em>R</em><sub>2</sub>, <em>R</em><sub>3</sub>, <em>R</em><sub>4</sub> (at increasing resonance fields) with various polarizations. At hyperfrequencies, <em>R</em><sub>1</sub> and <em>R</em><sub>4</sub> are elliptically polarized in a plane normal to the cristallographic plane <em>bc</em>; the intersection of these two planes depends of the orientation of the d.c. field <em>H</em>. The polarization of the lines <em>R</em><sub>2</sub> and <em>R</em><sub>3</sub> is linear along <em>c</em>. This direction is independent of the orientation of <em>H</em>, within the experimental errors. At radio frequencies, the elliptical polarization of <em>RR</em><sub>1</sub> and <em>RR</em><sub>4</sub> is reduced to linear polarization in <em>bc</em> along the major axis of the ellipse. The resonances <em>R</em><sub>2</sub> and <em>R</em><sub>3</sub> remain polarized along <em>c</em>. The behaviour of these four resonances is studied as a function of the temperature and the frequency. At 1.91 K and at radio frequencies, the line shape depends strongly of the frequency.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 2","pages":"Pages 233-244"},"PeriodicalIF":0.0,"publicationDate":"1974-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90067-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88135329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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