{"title":"Analytic Methods in Open String Field Theory","authors":"Y. Okawa","doi":"10.1143/PTP.128.1001","DOIUrl":"https://doi.org/10.1143/PTP.128.1001","url":null,"abstract":"","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"1001-1060"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.1001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64011903","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}
M. Kapitaniak, P. Brzeski, K. Czołczyński, aw Perlikowski, A. Stefański, T. Kapitaniak
{"title":"Synchronization Thresholds of Coupled Self-Excited Nonidentical Pendula Suspended on the Vertically Displacing Beam","authors":"M. Kapitaniak, P. Brzeski, K. Czołczyński, aw Perlikowski, A. Stefański, T. Kapitaniak","doi":"10.1143/PTP.128.1141","DOIUrl":"https://doi.org/10.1143/PTP.128.1141","url":null,"abstract":"The synchronization of a number of self-excited nonidentical pendula (with the same masses and different lengths) hanging on the same beam which can move vertically has been investigated. We identify different synchronous configurations and investigate their stability. An approximate analytical analysis of the energy balance allows to derive the synchronization conditions, phase difference between the pendula and explains the observed types of synchronizations. We give evidence of two thresholds (in a number of pendula and differences in lengths) after which the synchronization is not observed. It has been shown that for more than three pendula with sufficiently large differences in the lengths the synchronization is not observed and the pendula perform quasi-periodic oscillations. Our results are robust as they exist for the wide set of system parameters.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"1141-1173"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.1141","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64011869","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":"Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation","authors":"R. A. Gorder","doi":"10.1143/PTP.128.993","DOIUrl":"https://doi.org/10.1143/PTP.128.993","url":null,"abstract":"We consider a method of obtaining exact implicit relations governing stationary solutions to the Wadati-Konno-Ichikawa-Shimizu (WKIS) equation. After a suitable transform, we put the WKIS equation into the form of a nonlinear ordinary differential equation. This equation has exact first and second integrals of motion. From this second integral, the exact equation governing the stationary solution to the WKIS equation is obtained. This relation may easily be inverted and plotted, to give the exact solution profiles. Furthermore, an exact formula for the period of oscillation in terms of the model parameters is obtained. Subject Index: 010, 030","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"993-999"},"PeriodicalIF":0.0,"publicationDate":"2012-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.993","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016751","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":"Extrinsic Spin Hall Effect Due to Transition-Metal Impurities","authors":"Takuro Tanaka, H. Kontani","doi":"10.1143/PTP.128.805","DOIUrl":"https://doi.org/10.1143/PTP.128.805","url":null,"abstract":"We investigate the extrinsic spin Hall effect in the electron gas model due to transitionmetal impurities based on the single-impurity Anderson model with orbital degrees of freedom. Both the skew scattering and side jump mechanisms are analyzed in a unified way, and the significant role of orbital degrees of freedom are clarified. The obtained spin Hall +","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"805-828"},"PeriodicalIF":0.0,"publicationDate":"2012-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.805","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016050","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":"Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order","authors":"R. Fujita","doi":"10.1143/PTP.128.971","DOIUrl":"https://doi.org/10.1143/PTP.128.971","url":null,"abstract":"We extend our previous results of the 14th post-Newtonian (PN) order expansion of gravitational waves for a test particle in circular orbits around a Schwarzschild black hole to the 22PN order, i.e. v 44 beyond the leading Newtonian approximation where v is the orbital velocity of a test particle. Comparing our 22PN formula for the energy flux with high precision numerical results, we find that the relative error of the 22PN flux at the innermost stable circular orbit is about 10 − 5 . We also estimate the phase difference between the 22PN waveforms and numerical waveforms after a two-year inspiral. We find that the dephase is about 10 − 9 for μ/M = 10 − 4 and 10 − 2 for μ/M = 10 − 5 where μ is the mass of the compact object and M the mass of the central supermassive black hole. Finally, we construct a hybrid formula of the energy flux by supplementing the 4PN formula of the energy flux for circular and equatorial orbits around a Kerr black hole with all the present 22PN terms for the case of a Schwarzschild black hole. Comparing the hybrid formula with the the full numerical results, we examine the performance of the hybrid formula for the case of Kerr black hole.","PeriodicalId":49658,"journal":{"name":"Progress of Theoretical Physics","volume":"128 1","pages":"971-992"},"PeriodicalIF":0.0,"publicationDate":"2012-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.128.971","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64016611","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":"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}
{"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}