{"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}
{"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}
{"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}
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}
{"title":"Total Conserved Charges of Lense-Thirring Spacetime in Gravity Theory with Diffeomorphism and Local Lorentz Symmetry","authors":"G. Nashed","doi":"10.1143/PTP.128.767","DOIUrl":"https://doi.org/10.1143/PTP.128.767","url":null,"abstract":"The approach of invariant conserved currents generated by an arbitrary vector field which generates a diffeomorphism on the spacetime, in the context of gravitational theory with general coordinate transformation and local Lorentz symmetry has been employed. Three kinds of conserved charges are computed for four tetrads spacetime reproducing Lense-Thirring (LT) metric, which is an approximate solution of the Einstein field equations. Some tetrads give the well known charges and others give in addition to the anomalous charges a divergent quantity. Therefore, regularized expressions, i.e., new local Lorentz transformations are used to get the physical results. Subject Index: 105, 451, 453","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"767-783"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.767","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016408","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}
{"title":"Ward Identity as Exact Transport Equation","authors":"Y. Yamane, M. Itoh","doi":"10.1143/PTP.128.785","DOIUrl":"https://doi.org/10.1143/PTP.128.785","url":null,"abstract":"We show that the exact transport equation of interacting fermions is nothing but an alternative form of the Ward identity. It is close to that derived diagrammatically by ´ Eliashberg, but along with the complete collision integral and full renormalizations. We further discuss the hidden divergence in conductivity in the conventional microscopic Fermi liquid theory. The exact transport equation does not bring this divergence, incorporating the particleparticle and hole-hole excitations. Subject Index: 052, 062, 323, 356","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"13 1","pages":"785-794"},"PeriodicalIF":0.0,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.785","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016467","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}
{"title":"Subbarrier Fusion Reactions and Many-Particle Quantum Tunneling","authors":"K. Hagino, N. Takigawa","doi":"10.1143/PTP.128.1061","DOIUrl":"https://doi.org/10.1143/PTP.128.1061","url":null,"abstract":"Low-energy heavy-ion fusion reactions are governed by quantum tunneling through the Coulomb barrier formed by the strong cancellation of the repulsive Coulomb force with the attractive nuclear interaction between the colliding nuclei. Extensive experimental as well as theoretical studies have revealed that fusion reactions are strongly influenced by couplings of the relative motion of the colliding nuclei to several nuclear intrinsic motions. Heavy-ion subbarrier fusion reactions thus provide a good opportunity to address the general problem of quantum tunneling in the presence of couplings, which has been a popular subject in recent decades in many branches of physics and chemistry. Here, we review theoretical aspects of heavy-ion subbarrier fusion reactions from the viewpoint of quantum tunneling in systems with many degrees of freedom. Particular emphases are put on the coupled-channels approach to fusion reactions and the barrier distribution representation for multichannel penetrability. We also discuss an application of the barrier distribution method to elucidate the mechanism of the dissociative adsorption of H2 molecules in surface science. Subject Index: 062, 211, 223, 226, 330","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"1061-1106"},"PeriodicalIF":0.0,"publicationDate":"2012-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.1061","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64011699","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}
{"title":"Separation of Chiral and Deconfinement Phase Transitions in Curved Space-Time","authors":"S. Sasagawa, Hidekazu Tanaka","doi":"10.1143/PTP.128.925","DOIUrl":"https://doi.org/10.1143/PTP.128.925","url":null,"abstract":"We calculated the chiral condensate and th ed ressed Polyakov loop in the space-time R × S 3 and R × H 3 . The chiral condensate is the order parameter for the chiral phase transition, whereas the dressed Polyakov loop is the order parameter for the deconfinement phase transition. When there is a current mass, critical points for the chiral and deconfinement phase transitions are different in the crossover region. We show that the difference is changed by the gravitational effect. Subject Index: 160, 169, 436","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"925-939"},"PeriodicalIF":0.0,"publicationDate":"2012-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.925","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016379","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}
{"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}
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}