1,655 research outputs found

    Magnetic phase diagram of three-dimensional diluted Ising antiferromagnet Ni0.8_{0.8}Mg0.2_{0.2}(OH)2_{2}

    Full text link
    HH-TT diagram of 3D diluted Ising antiferromagnet Nic_{c}Mg1−c_{1-c}(OH)2_{2} with cc = 0.8 has been determined from measurements of SQUID DC magnetization and AC magnetic susceptibility. At HH = 0, this compound undergoes two magnetic phase transitions: an antiferromagnetic (AF) transition at the N\'{e}el temperature TNT_{N} (= 20.7 K) and a reentrant spin glass (RSG) transition at TRSGT_{RSG} (≈\approx 6 K). The HH-TT diagram consists of the RSG, spin glass (SG), and AF phases. These phases meet a multicritical point PmP_{m} (HmH_{m} = 42 kOe, TmT_{m} = 5.6 K). The irreversibility of susceptibility defined by δ\delta (= χFC−χZFC\chi_{FC} - \chi_{ZFC}) shows a negative local minimum for 10 ≤H≤\leq H \leq 35 kOe, suggesting the existence of possible glassy phase in the AF phase. A broad peak in δ\delta and χ′′\chi^{\prime \prime} at H≥H \geq 20 kOe for TN(c=0.8,H)≤T≤TN(c=1,H=0)T_{N}(c=0.8,H) \leq T \leq T_{N}(c=1,H=0) (= 26.4 K) suggests the existence of the Griffiths phase.Comment: 11 pages, 14 figures; J. Phys. Soc. Jpn. 73 (2004) No. 1 issue, in pres

    Threshold Analysis of Non-Binary Spatially-Coupled LDPC Codes with Windowed Decoding

    Full text link
    In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian noise channel (BIAWGNC), with particular emphasis on windowed decoding (WD). We consider both (2,4)-regular and (3,6)-regular NB-SC-LDPC code ensembles constructed using protographs and compute their thresholds using protograph versions of NB density evolution and NB extrinsic information transfer analysis. For these code ensembles, we show that WD of NB-SC-LDPC codes, which provides a significant decrease in latency and complexity compared to decoding across the entire parity-check matrix, results in a negligible decrease in the near-capacity performance for a sufficiently large window size W on both the BEC and the BIAWGNC. Also, we show that NB-SC-LDPC code ensembles exhibit gains in the WD threshold compared to the corresponding block code ensembles decoded across the entire parity-check matrix, and that the gains increase as the finite field size q increases. Moreover, from the viewpoint of decoding complexity, we see that (3,6)-regular NB-SC-LDPC codes are particularly attractive due to the fact that they achieve near-capacity thresholds even for small q and W.Comment: 6 pages, 8 figures; submitted to 2014 IEEE International Symposium on Information Theor

    Choreographic Three Bodies on the Lemniscate

    Full text link
    We show that choreographic three bodies {x(t), x(t+T/3), x(t-T/3)} of period T on the lemniscate, x(t) = (x-hat+y-hat cn(t))sn(t)/(1+cn^2(t)) parameterized by the Jacobi's elliptic functions sn and cn with modulus k^2 = (2+sqrt{3})/4, conserve the center of mass and the angular momentum, where x-hat and y-hat are the orthogonal unit vectors defining the plane of the motion. They also conserve the moment of inertia, the kinetic energy, the sum of square of the curvature, the product of distance and the sum of square of distance between bodies. We find that they satisfy the equation of motion under the potential energy sum_{i<j}(1/2 ln r_{ij} -sqrt{3}/24 r_{ij}^2) or sum_{i<j}1/2 ln r_{ij} -sum_{i}sqrt{3}/8 r_{i}^2, where r_{ij} the distance between the body i and j, and r_{i} the distance from the origin. The first term of the potential energies is the Newton's gravity in two dimensions but the second term is the mutual repulsive force or a repulsive force from the origin, respectively. Then, geometric construction methods for the positions of the choreographic three bodies are given

    On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators

    Full text link
    We present a set of necessary conditions for the existence of a biorthonormal basis composed of eigenvectors of non-Hermitian operators. As an illustration, we examine these conditions in the case of normal operators. We also provide a generalization of the conditions which is applicable to non-diagonalizable operators by considering not only eigenvectors but also all root vectors.Comment: 6 pages, no figures; (v2) minor revisions based on the comment quant-ph/0603096; (v3) presentation improved, final version to appear in Journal of Physics

    Domain walls with non-Abelian orientational moduli

    Full text link
    Domain walls with non-Abelian orientational moduli are constructed in U(N) gauge theories coupled to Higgs scalar fields with degenerate masses. The associated global symmetry is broken by the domain walls, resulting in the Nambu-Goldstone (and quasi-Nambu-Goldstone) bosons, which form the non-Abelian orientational moduli. As walls separate, the wave functions of the non-Abelian orientational moduli spread between domain walls. By taking the limit of Higgs mass differences to vanish, we clarify the convertion of wall position moduli into the non-Abelian orientational moduli. The moduli space metric and its Kahler potential of the effective field theory on the domain walls are constructed. We consider two models: a U(1) gauge theory with several charged Higgs fields, and a U(N) gauge theory with 2N Higgs fields in the fundamental representation. More details are found in our paper published in Phys. Rev. D77 (2008) 125008 [arXiv:0802.3135 [hep-th]].Comment: contribution to the Proceedings of he 1st MCCQG conference at Crete, sept. 2009, to appear in Journal of Physics: Conference Series of IO

    Field Theoretical Analysis of On-line Learning of Probability Distributions

    Full text link
    On-line learning of probability distributions is analyzed from the field theoretical point of view. We can obtain an optimal on-line learning algorithm, since renormalization group enables us to control the number of degrees of freedom of a system according to the number of examples. We do not learn parameters of a model, but probability distributions themselves. Therefore, the algorithm requires no a priori knowledge of a model.Comment: 4 pages, 1 figure, RevTe

    Dynamics of Non-Abelian Vortices

    Full text link
    The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, dynamics of non-Abelian vortices has a lot of new features; The kinetic energy in real space can be transfered to that of internal orientational moduli and vice versa, the energy and charge transfer between two vortices, the scattering angle of collisions with a fixed impact parameter depends on the internal orientations, and some resonances appear due to synchronization of the orientations. Scattering of dyonic non-Abelian vortices in a mass deformed theory is also studied. We find a bound state of two vortices moving along coils around a circle, like a loop of a phone code.Comment: 45 pages, 13 figure

    Statistical mechanics of lossy compression for non-monotonic multilayer perceptrons

    Full text link
    A lossy data compression scheme for uniformly biased Boolean messages is investigated via statistical mechanics techniques. We utilize tree-like committee machine (committee tree) and tree-like parity machine (parity tree) whose transfer functions are non-monotonic. The scheme performance at the infinite code length limit is analyzed using the replica method. Both committee and parity treelike networks are shown to saturate the Shannon bound. The AT stability of the Replica Symmetric solution is analyzed, and the tuning of the non-monotonic transfer function is also discussed.Comment: 29 pages, 7 figure

    Expression profiles of urbilaterian genes uniquely shared between honey bee and vertebrates

    Get PDF
    <p>Abstract</p> <p>Background</p> <p>Large-scale comparison of metazoan genomes has revealed that a significant fraction of genes of the last common ancestor of Bilateria (Urbilateria) is lost in each animal lineage. This event could be one of the underlying mechanisms involved in generating metazoan diversity. However, the present functions of these ancient genes have not been addressed extensively. To understand the functions and evolutionary mechanisms of such ancient Urbilaterian genes, we carried out comprehensive expression profile analysis of genes shared between vertebrates and honey bees but not with the other sequenced ecdysozoan genomes (honey bee-vertebrate specific, HVS genes) as a model.</p> <p>Results</p> <p>We identified 30 honey bee and 55 mouse HVS genes. Many HVS genes exhibited tissue-selective expression patterns; intriguingly, the expression of 60% of honey bee HVS genes was found to be brain enriched, and 24% of mouse HVS genes were highly expressed in either or both the brain and testis. Moreover, a minimum of 38% of mouse HVS genes demonstrated neuron-enriched expression patterns, and 62% of them exhibited expression in selective brain areas, particularly the forebrain and cerebellum. Furthermore, gene ontology (GO) analysis of HVS genes predicted that 35% of genes are associated with DNA transcription and RNA processing.</p> <p>Conclusion</p> <p>These results suggest that HVS genes include genes that are biased towards expression in the brain and gonads. They also demonstrate that at least some of Urbilaterian genes retained in the specific animal lineage may be selectively maintained to support the species-specific phenotypes.</p
    • …
    corecore