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New Period-Doubling and Equiperiod Bifurcations of the Reversible Area-Preserving Map 可逆保面积映射的新倍周期和等周期分岔
Progress of Theoretical Physics Pub Date : 2012-11-01 DOI: 10.1143/PTP.128.845
Y. Yamaguchi, K. Tanikawa
{"title":"New Period-Doubling and Equiperiod Bifurcations of the Reversible Area-Preserving Map","authors":"Y. Yamaguchi, K. Tanikawa","doi":"10.1143/PTP.128.845","DOIUrl":"https://doi.org/10.1143/PTP.128.845","url":null,"abstract":"Two types of period-doubling and equiperiod bifurcations of the reversible areapreserving map are studied. Ordinary period-doubling bifurcation means that the eigenvalue of the mother elliptic periodic orbit (u) is −1, u becomes a saddle periodic orbit with reflection, and an elliptic daughter periodic orbit (v) appears, where the period of v is twice that of u. The other period-doubling bifurcation named the reverse period-doubling bifurcation means that the eigenvalue of the mother saddle periodic orbit with reflection (u′) is −1, u′ becomes an elliptic orbit, and a daughter periodic orbit (v′) appears, where the period of v′ is twice that of u′. The daughter periodic orbit is a saddle with reflection. We prove that both the daughters v and v′ exist in the reversible Smale horseshoe. The forcing relation of the ordinary and reverse period-bifurcations is obtained. Similarly, the ordinary equiperiod and reverse equiperiod bifurcations are also discussed.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"845-871"},"PeriodicalIF":0.0,"publicationDate":"2012-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.845","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016281","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
A Step toward an MLD Classification of Selfsimilar Quasilattices 自相似拟格的MLD分类
Progress of Theoretical Physics Pub Date : 2012-10-01 DOI: 10.1143/PTP.128.629
K. Niizeki
{"title":"A Step toward an MLD Classification of Selfsimilar Quasilattices","authors":"K. Niizeki","doi":"10.1143/PTP.128.629","DOIUrl":"https://doi.org/10.1143/PTP.128.629","url":null,"abstract":"The point inflation rule (PIR) proposed in a previous paper as a method of obtaining a kind of selfsimilar quasilattices (SSQLs) is extended so that it is applicable to all kinds of SSQLs. The result will be an important step toward a complete MLD classification of SSQLs. The PIR is manifested by an affine autonomous set map (AASM) Ψ characterized by a pair {S ,σ } of a star S and an expansive affine transformation σ; S is a subset of the module L supporting the SSQL and σ is an automorphism of L .I t represents a local rule combining an SSQL Q and its inflation σQ; S specifies the range affected by the local rule. The conjugate map Ψ ⊥ operating on the internal space is another AASM characterized by the conjugate pair {S ⊥ ,σ ⊥ }; σ ⊥ is a contractive affine transformation. The window of Q is a fixed set of Ψ ⊥ and has usually a fractal boundary. The double-star AASM in which two disjoint substars of S play different roles is of particular importance. We produce by maps of this type a lot of new SSQLs with the octagonal, decagonal, and dodecagonal point symmetries. SSQLs of nonBravais type and tilings of tiles with fractal boundaries are included in the formalism. Subject Index: 013","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"629-691"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.629","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64015907","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: 1
Radiative Properties of Kinks in the sin4(ϕ) System sin4(φ)体系中扭结的辐射特性
Progress of Theoretical Physics Pub Date : 2012-10-01 DOI: 10.1143/PTP.128.615
M. Mohammadi, N. Riazi, A. Azizi
{"title":"Radiative Properties of Kinks in the sin4(ϕ) System","authors":"M. Mohammadi, N. Riazi, A. Azizi","doi":"10.1143/PTP.128.615","DOIUrl":"https://doi.org/10.1143/PTP.128.615","url":null,"abstract":"In this paper, we study the nonlinear sin4(ϕ) system in 1+1 dimensions which exhibits interesting nonlinear properties. We have categorized the system as radiative, since the collision of a kink and an antikink with velocities less than a threshold velocity leads to the complete annihilation of the pair and production of two high-amplitude wave packets with zero topological charges. Our results show that the individual kinks and antikinks are stable even against strong (nonlinear) perturbations. Other radiative systems similar to the sin4(ϕ) system are also studied. Finally, linear perturbations about the kink solution are examined in relation to the relaxation problem, by looking for the bound states of the resulting Schrodinger-like equation. Interestingly enough, the sin4(ϕ) system has only one trivial bound state with the ω2 eigenvalue residing exactly at the top of the potential well. The significance of this property on the relaxation of the kink in this system is examined and compared to other nonlinear systems.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"55 1","pages":"615-627"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.615","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64015773","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: 15
Self-Consistent Theory of Anderson Localization in Two Dimensions in View of Exact Transport Equation 精确输运方程下二维Anderson局部化的自洽理论
Progress of Theoretical Physics Pub Date : 2012-10-01 DOI: 10.1143/PTP.128.795
Y. Yamane, M. Itoh
{"title":"Self-Consistent Theory of Anderson Localization in Two Dimensions in View of Exact Transport Equation","authors":"Y. Yamane, M. Itoh","doi":"10.1143/PTP.128.795","DOIUrl":"https://doi.org/10.1143/PTP.128.795","url":null,"abstract":"Self-consistent theory of Anderson localization of two-dimensional non-interacting electrons is formulated in the context of the exact transport equation and conductivity expression derived by the present authors (YI). The irreducible scattering vertex by Vollhardt and Wolfle (VW) is used in this equation, determining the diffusion coefficient in the scattering vertex self-consistently, through Einstein relation. It predicts a similar localization length to that obtained by VW, but shows that the conductivity evaluated by the Kubo formula decays exponentially, as the system size approaches the localization length. The result is opposed to the prediction by VW, who showed different behaviour of the diffusion coefficient that is equivalent to our conductivity. Our calculation also implies that the localization may be described along with the Landau-Silin theory of Fermi liquid.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"795-804"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.795","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016509","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
Deformation Effect on Total Reaction Cross Sections for Neutron-Rich Ne-Isotopes 变形对富中子ne -同位素总反应截面的影响
Progress of Theoretical Physics Pub Date : 2012-10-01 DOI: 10.1143/ptps.196.358
K. Minomo, S. Watanabe, T. Sumi, M. Kimura, K. Ogata, R. S. Yoshifumi, M. Yahiro
{"title":"Deformation Effect on Total Reaction Cross Sections for Neutron-Rich Ne-Isotopes","authors":"K. Minomo, S. Watanabe, T. Sumi, M. Kimura, K. Ogata, R. S. Yoshifumi, M. Yahiro","doi":"10.1143/ptps.196.358","DOIUrl":"https://doi.org/10.1143/ptps.196.358","url":null,"abstract":"","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"1 1","pages":"358-364"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/ptps.196.358","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64871239","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
Effects of Final-State Interactions in B0→K+K- Decay B0→K+K-衰变中末态相互作用的影响
Progress of Theoretical Physics Pub Date : 2012-09-01 DOI: 10.1143/PTP.128.477
B. Mohammadi, H. Mehraban
{"title":"Effects of Final-State Interactions in B0→K+K- Decay","authors":"B. Mohammadi, H. Mehraban","doi":"10.1143/PTP.128.477","DOIUrl":"https://doi.org/10.1143/PTP.128.477","url":null,"abstract":"The decay of the B meson to the K and K− mesons is a pure annihilation decay; for this reason, in the framework of the quantum chromodynamics factorization (QCDF) approach, this decay has a small amplitude and a small branching ratio. In this study, we find that, before the K and K− mesons are produced in the final states, pair mesons such as ππ(ρρ), π+π−(ρ+ρ−), K0K0(K0∗K0∗), D0D0(D0∗D0∗), D s D − s (D +∗ s D −∗ s ), φφ and ρφ are produced. The intermediate-state mesons via the exchange of K+(∗), K0(∗), π−(ρ−), D+(∗) s , D0(∗) and K−(∗) mesons go to the K and K− final-state mesons. However, we calculate the B → K+K− decay in two different frameworks. The first framework is the QCDF method and the second one is the use of the final-state interaction (FSI) effects. The experimental branching ratios of B → K+K− decay are 1.3 and 2.3 × 10−7, and our results obtained by the QCDF method and FSI are 0.11 × 10−7 and 0.09 ∼ 3.21 × 10−7, respectively.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"477-487"},"PeriodicalIF":0.0,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.477","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64015074","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
A Boundary Integral SPH Formulation --- Consistency and Applications to ISPH and WCSPH --- 边界积分SPH公式——一致性及其在ISPH和WCSPH中的应用——
Progress of Theoretical Physics Pub Date : 2012-09-01 DOI: 10.1143/PTP.128.439
F. Macià, L. González, J. Cercos-Pita, A. Souto-Iglesias
{"title":"A Boundary Integral SPH Formulation --- Consistency and Applications to ISPH and WCSPH ---","authors":"F. Macià, L. González, J. Cercos-Pita, A. Souto-Iglesias","doi":"10.1143/PTP.128.439","DOIUrl":"https://doi.org/10.1143/PTP.128.439","url":null,"abstract":"One of the historical problems appearing in SPH formulations is the inconsistencies coming from the inappropriate implementation of boundary conditions. In this work, this problem has been investigated; instead of using typical methodologies such as extended domains with ghost or dummy particles where severe inconsistencies are found, we included the boundary terms that naturally appear in the formulation. First, we proved that in the 1D smoothed continuum formulation, the inclusion of boundary integrals allows for a consistent O (h) formulation close to the boundaries. Second, we showed that the corresponding discrete version converges to a certain solution when the discretization SPH parameters tend to zero. Typical tests with the first and second derivative operators confirm that this boundary condition implementation works consistently. The 2D Poisson problem, typically used in ISPH, was also studied, obtaining consistent results. For the sake of completeness, two practical applications, namely, the duct flow and a sloshing tank, were studied with the results showing a rather good agreement with former experiments and previous results. Subject Index: 024","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"439-462"},"PeriodicalIF":0.0,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.439","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64015410","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: 54
Charge-Exchange Excitations with Skyrme Interactions in a Separable Approximation 具有Skyrme相互作用的电荷交换激发的可分离近似
Progress of Theoretical Physics Pub Date : 2012-09-01 DOI: 10.1143/PTP.128.489
A. Severyukhin, V. Voronov, N. Giai
{"title":"Charge-Exchange Excitations with Skyrme Interactions in a Separable Approximation","authors":"A. Severyukhin, V. Voronov, N. Giai","doi":"10.1143/PTP.128.489","DOIUrl":"https://doi.org/10.1143/PTP.128.489","url":null,"abstract":"Starting from a Skyrme interaction we propose an extension of the finite rank separable approximation for the case of charge-exchange nuclear modes. This approximation enables one to reduce considerably the dimensions of the matrices that must be diagonalized to perform QRPA calculations in very large configuration spaces. First, we check that the approximation reproduces reasonably well the full charge-exchange RPA results of the spindipole resonances in the nuclei 90 Zr and 132 Sn. The approach is then applied to the study of the Gamow-Teller and the spin-dipole resonances in the neutron-rich Cd isotopes, within the quasiparticle random phase approximation. Subject Index: 210, 213","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"489-506"},"PeriodicalIF":0.0,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.489","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64015145","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: 18
Level Spacings of Parametric Chiral Random Matrices and Two-Color QCD with Twisted Boundary Condition 参数手性随机矩阵的水平间距与具有扭曲边界条件的双色QCD
Progress of Theoretical Physics Pub Date : 2012-08-19 DOI: 10.1143/PTP.128.1283
S. Nishigaki
{"title":"Level Spacings of Parametric Chiral Random Matrices and Two-Color QCD with Twisted Boundary Condition","authors":"S. Nishigaki","doi":"10.1143/PTP.128.1283","DOIUrl":"https://doi.org/10.1143/PTP.128.1283","url":null,"abstract":"We evaluate the level spacing and smallest eigenvalue distributions of chiral random matrix ensembles transiting from symplectic or orthogonal to unitary symmetry classes with a crossover parameter ρ. As expected from the effective σ model description, these results can be fitted perfectly to the fundamental or adjoint staggered Dirac spectrum of SU(2) quenched lattice gauge theory under the imaginary chemical potential (twisting) μ .T he linear dependence of the parameter ρ on μ determines the pion decay constant F as its proportionality constant.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"1283-1292"},"PeriodicalIF":0.0,"publicationDate":"2012-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.1283","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64012038","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
Toward an Understanding of Short Distance Repulsions among Baryons in QCD--- NBS Wave Functions and Operator Product Expansion --- QCD—NBS波函数中重子间短距离排斥的理解与算子积展开
Progress of Theoretical Physics Pub Date : 2012-08-07 DOI: 10.1143/PTP.128.1269
S. Aoki, J. Balog, P. Weisz
{"title":"Toward an Understanding of Short Distance Repulsions among Baryons in QCD--- NBS Wave Functions and Operator Product Expansion ---","authors":"S. Aoki, J. Balog, P. Weisz","doi":"10.1143/PTP.128.1269","DOIUrl":"https://doi.org/10.1143/PTP.128.1269","url":null,"abstract":"We report on our recent attempts to determine the short distance behaviors of general 2baryon and 3-baryon forces, which are defined from the Nambu-Bethe-Salpeter (NBS) wave function, by using the operator product expansion and a renormalization group analysis in QCD. We have found that the repulsion at short distance increases as the number of valence quarks increases or when the number of different flavors involved decreases. This global tendency suggests a Pauli suppression principle among quark fields at work. Subject Index: 164, 165, 200, 234 §1. Motivation","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"1269-1282"},"PeriodicalIF":0.0,"publicationDate":"2012-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.1269","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64011827","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: 7
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