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Phase diagram of an ising model with long-range frustrating interactions: A theoretical analysis 具有远距离挫折相互作用的ising模型的相图:理论分析
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.7781
Grousson, Tarjus, Viot
{"title":"Phase diagram of an ising model with long-range frustrating interactions: A theoretical analysis","authors":"Grousson,&nbsp;Tarjus,&nbsp;Viot","doi":"10.1103/physreve.62.7781","DOIUrl":"https://doi.org/10.1103/physreve.62.7781","url":null,"abstract":"<p><p>We present a theoretical study of the phase diagram of a frustrated Ising model with nearest-neighbor ferromagnetic interactions and long-range (Coulombic) antiferromagnetic interactions. For nonzero frustration, long-range ferromagnetic order is forbidden, and the ground state of the system consists of phases characterized by periodically modulated structures. At finite temperatures, the phase diagram is calculated within the mean-field approximation. Below the transition line that separates the disordered and the ordered phases, the frustration-temperature phase diagram displays an infinite number of \"flowers,\" each flower being made by an infinite number of modulated phases generated by structure combination branching processes. The specificities introduced by the long-range nature of the frustrating interaction and the limitation of the mean-field approach are finally discussed.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"7781-92"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.7781","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21959949","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: 41
Mean-field theory of acentric order of dipolar chromophores in polymeric electro-optic materials 聚合物电光材料中偶极发色团非中心序的平均场理论
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8324
Pereverzev, Prezhdo
{"title":"Mean-field theory of acentric order of dipolar chromophores in polymeric electro-optic materials","authors":"Pereverzev,&nbsp;Prezhdo","doi":"10.1103/physreve.62.8324","DOIUrl":"https://doi.org/10.1103/physreve.62.8324","url":null,"abstract":"<p><p>A mean-field theory of macroscopic order of dipolar chromophores in a polymer matrix in the presence of an external electric field is developed. The theory is applied to characterize the electro-optic coefficient of the Pockel effect that forms the basis for a variety of polymeric nonlinear electro-optic materials. The coefficient is studied as a function of chromophore concentration, polymer properties, and manufacturing conditions, including temperature, strength of the applied electric field, and macroscopic shape of the sample. The model reproduces the observed behavior of the electro-optic coefficient and explains the nonlinear concentration dependence of the coefficient at high chromophore concentrations. Specific recommendations for system design are suggested from the analysis of the obtained data.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8324-34"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8324","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21959958","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: 17
Tubular plasma generation with a high-power hollow bessel beam 管状等离子体产生与高功率空心贝塞尔光束
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.r7603
Fan, Parra, Alexeev, Kim, Milchberg, Margolin, Pyatnitskii
{"title":"Tubular plasma generation with a high-power hollow bessel beam","authors":"Fan,&nbsp;Parra,&nbsp;Alexeev,&nbsp;Kim,&nbsp;Milchberg,&nbsp;Margolin,&nbsp;Pyatnitskii","doi":"10.1103/physreve.62.r7603","DOIUrl":"https://doi.org/10.1103/physreve.62.r7603","url":null,"abstract":"<p><p>A high power, hollow Bessel beam (J5) is generated using an axicon and a phase plate in combination. The optical breakdown of a gas target and generation of a tubular plasma fiber with such a beam is realized. Hydrodynamic simulations of the hollow beam-plasma breakdown and heating are in reasonable agreement with interferometric measurements of the plasma time evolution.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"R7603-6"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.r7603","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960126","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: 55
Taxonomy of stock market indices 股票市场指数的分类
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.r7615
Bonanno, Vandewalle, Mantegna
{"title":"Taxonomy of stock market indices","authors":"Bonanno,&nbsp;Vandewalle,&nbsp;Mantegna","doi":"10.1103/physreve.62.r7615","DOIUrl":"https://doi.org/10.1103/physreve.62.r7615","url":null,"abstract":"<p><p>We investigate sets of financial nonredundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of returns and by using a reference currency we find a meaningful taxonomy. The detection of such a taxonomy proves that interpretable information can be stored in a set of nonsynchronously recorded time series.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"R7615-8"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.r7615","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960129","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: 150
Drift of spiral waves in the complex ginzburg-landau equation due to media inhomogeneities 介质非均匀性引起的复杂金兹堡-朗道方程中螺旋波的漂移
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8800
Biktasheva
{"title":"Drift of spiral waves in the complex ginzburg-landau equation due to media inhomogeneities","authors":"Biktasheva","doi":"10.1103/physreve.62.8800","DOIUrl":"https://doi.org/10.1103/physreve.62.8800","url":null,"abstract":"<p><p>We test the asymptotical theory of dynamics of spiral waves by applying it to inhomogeneity-induced drift of the spiral waves in the Complex Ginzburg-Landau equation for two different types of weak media inhomogeneities and demonstrate good quantitative agreement with numerical simulations for both.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8800-3"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8800","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960137","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: 14
Aspect-ratio dependence of percolation probability in a rectangular system 矩形系统中渗透概率的纵横比依赖性
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8811
Tsubakihara
{"title":"Aspect-ratio dependence of percolation probability in a rectangular system","authors":"Tsubakihara","doi":"10.1103/physreve.62.8811","DOIUrl":"https://doi.org/10.1103/physreve.62.8811","url":null,"abstract":"<p><p>I investigate site percolation on a rectangular system (aspect ratio a) of a square lattice for a given occupation probability p (not restricted to p(c)) using computer simulations. The dependence of the percolation probability R on a is shown and analyzed on the basis of a modified finite-size scaling function. A method for evaluating R without statistical simulations is proposed for given conditions (longitudinal dimension L, a, and p) of the system.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8811-3"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8811","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960140","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: 5
Lower bounds for the ground-state degeneracies of frustrated systems on fractal lattices 分形格上受挫系统基态简并的下界
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8814
Curado, Nobre
{"title":"Lower bounds for the ground-state degeneracies of frustrated systems on fractal lattices","authors":"Curado,&nbsp;Nobre","doi":"10.1103/physreve.62.8814","DOIUrl":"https://doi.org/10.1103/physreve.62.8814","url":null,"abstract":"<p><p>The total number of ground states for nearest-neighbor-interaction Ising systems with frustrations, defined on hierarchical lattices, is investigated. A simple method is presented, which allows one to factorize the ground-state degeneracy, at a given hierarchy level n, in terms of contributions due to all hierarchy levels. Such a method may yield the exact ground-state degeneracy of uniformly frustrated systems, whereas it works as an approximation for randomly frustrated models. In the latter cases, it is demonstrated that such an approximation yields lower-bound estimates for the ground-state degeneracies.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8814-6"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8814","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960141","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
Nematic liquid-crystal director configuration for general elastic coefficients 一般弹性系数的向列液晶指向器构型
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8830
Schroder
{"title":"Nematic liquid-crystal director configuration for general elastic coefficients","authors":"Schroder","doi":"10.1103/physreve.62.8830","DOIUrl":"https://doi.org/10.1103/physreve.62.8830","url":null,"abstract":"<p><p>We provide a general analytical solution for the director field of a nematic liquid crystal confined between two horizontal plates. The derivation goes beyond the common one-constant approximation where the elastic coefficients are assumed equal. The solution remains valid in the presence of an applied magnetic or electric field. The effect on the bulk director of various director anchoring angles at the confining plates is derived and analyzed. Further, a generalization of the Freedericksz transition to other anchoring angles is investigated.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8830-3"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8830","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960146","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: 11
Experiments on radiative collapse in laser-produced plasmas relevant to astrophysical jets 与天体物理喷流相关的激光等离子体辐射坍缩实验
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8838
Shigemori, Kodama, Farley, Koase, Estabrook, Remington, Ryutov, Ochi, Azechi, Stone, Turner
{"title":"Experiments on radiative collapse in laser-produced plasmas relevant to astrophysical jets","authors":"Shigemori,&nbsp;Kodama,&nbsp;Farley,&nbsp;Koase,&nbsp;Estabrook,&nbsp;Remington,&nbsp;Ryutov,&nbsp;Ochi,&nbsp;Azechi,&nbsp;Stone,&nbsp;Turner","doi":"10.1103/physreve.62.8838","DOIUrl":"https://doi.org/10.1103/physreve.62.8838","url":null,"abstract":"<p><p>We report a laser experiment of astrophysical interest on radiative jet formation. Conically shaped targets are irradiated by intense laser light. An ablated plasma flow collides at the axis of the cone targets, then propagates at high Mach number, forming a jetlike structure. We measure time-resolved x-ray self-emission images from the jets. The diameter of the jet increases with decreasing atomic number of the irradiated target, suggesting that the collimation is due to radiative cooling. Two-dimensional simulations reproduce essential features of the experimental results.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8838-41"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8838","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960148","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
Vogel-fulcher dependence of relaxation rates in a nematic monomer and elastomer 向列单体和弹性体弛豫速率的Vogel-fulcher依赖性
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8100
Shenoy, Filippov, Aliev, Keller, Thomsen, Ratna
{"title":"Vogel-fulcher dependence of relaxation rates in a nematic monomer and elastomer","authors":"Shenoy,&nbsp;Filippov,&nbsp;Aliev,&nbsp;Keller,&nbsp;Thomsen,&nbsp;Ratna","doi":"10.1103/physreve.62.8100","DOIUrl":"https://doi.org/10.1103/physreve.62.8100","url":null,"abstract":"<p><p>Dielectric relaxation spectroscopy is used to study the relaxation processes in a nematic monomer and the corresponding cross-linked polymer nematic liquid crystal (elastomer). In the frequency window 10 mHz to 2 GHz the monomer liquid crystal shows a single relaxation whereas the polymer exhibits three relaxation processes, two of which are quantitatively analyzed. The temperature dependence of relaxation times in both the monomer and polymer follows a Vogel-Fulcher behavior. The relaxation processes are identified with specific molecular motions and activation energies are calculated in a linear approximation for comparison with literature data.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"8100-5"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8100","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960248","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
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