abstract

Linear dynamical systems, driven by a non-white noise which has the Lévy distribution, are analysed. Noise is modelled by a specific stochastic process which is defined by the Langevin equation with a linear force and the Lévy distributed symmetric white noise. Correlation properties of the process are discussed. The Fokker–Planck equation driven by that noise is solved. Distributions have the Lévy shape and their width, for a given time, is smaller than for processes in the white noise limit. Applicability of the adiabatic approximation in the case of the linear force is discussed.

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The cluster statistics of BTW automata in the SOC states are obtained by extensive computer simulation. Various moments of the clusters are calculated and few results are compared with earlier available numerical estimates and exact results. Reasonably good agreement is observed. An extended statistical analysis has been made.

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Based on the relations derived from the Regge phenomenology, we investigate the mass spectrum of radial excitation of tensor meson nonet. The results suggest that the states \(f_{2}(1810)\), \(f_{2}(2010)\) and \(K_{2}^{\ast }(1980)\) should be assigned as the first radial excitation of tensor meson. Our prediction can be useful for the assignment of tensor meson nonet in the future.

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We propose a simple five-dimensional extension of the Standard Model (SM) without any Higgs potential nor any extra fields. A Higgs doublet lives in the bulk of a flat line segment and its boundary condition is Dirichlet at the ends of the line, which causes the electroweak symmetry breaking without Higgs potential. The vacuum expectation value of the Higgs is induced from the Dirichlet boundary condition which is generally allowed in higher dimensional theories. The lightest physical Higgs has non-flat profile in the extra dimension even though the vacuum expectation value is flat. As a consequence, we predict a maximal top Yukawa deviation (no coupling between top and Higgs) for the brane-localized fermion and a small deviation, a multiplication of \(2\sqrt {2}\)/\(\pi \simeq 0.9\) to the Yukawa coupling, for the bulk fermion. The latter is consistent with the electroweak precision data within 90% C.L. for \(430~{\rm GeV}\lesssim m_{\rm KK}\lesssim 500~{\rm GeV}\).

abstract

In this work, the production processes of heavy neutral scalar and pseudoscalar associated with standard model gauge boson \(Z_L\) at future \(e^{+}e^{-}\) colliders (ILC and CLIC) are examined. The total and differential cross-sections are calculated for the processes in the context of the littlest Higgs model. Dependence of production processes to littlest Higgs model parameters in the range of compatibility with electroweak precision measurements and decays to lepton-flavor violating final states are also analyzed. We have found that both heavy scalar and pseudoscalar will be produced in \(e^+e^-\) colliders. Depending on the model parameters, the neutral heavy scalar can be reconstructed or lepton-flavor violating signals can be observed.

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We propose a scenario in which Roper octet can mix with a putative antidecuplet of exotic baryons and predict the properties of its strange members. We show that 1795 MeV \(\lt M_{{\mit \Sigma }_{\overline {10}}}\lt 1830\) MeV and 1900 MeV \(\lt M_{{\mit \Xi }_{\overline {10}}}\lt 1970\) MeV. We also estimate total widths: 10 MeV \(\lt {\mit \Gamma }_{{\mit \Sigma }_{\overline {10}}}\lt 30\) MeV and \({\mit \Gamma }_{{\mit \Xi }_{\overline {10}}}\sim 10\) MeV and branching ratios for different decay modes.

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We present exact expressions for the eigenvalues and eigenvectors of the \(d\)-dimensional Laplace operator in a cut Fock basis. We also discuss the physical interpretation of the cutoff as well as the validity of the scaling law of the eigenenergies for \(d\gt 1\).

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In the previous paper we have argued that the LHC data on multiplicity, average transverse momentum, and charged particle transverse momentum distributions are well described with minimal modeling in terms of a saturation scale \(Q_{{\rm sat}}(s)\). As a consequence, the \(p_{{\rm T}}\) spectra should exhibit geometric scaling. In this short note we show that recently released CMS data at \(\sqrt {s}=0.9,~2.36\) and 7 TeV fall on a universal curve when plotted in terms of suitably defined scaling variable \(\tau \).

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An investigation of heavy and superheavy nuclei requires a proper model to reproduce masses and rotational energies. We obtain a very good agreement with experimental data with the Yukawa-folded (YF) single particle potential and the Lublin Strasbourg Drop (LSD). Using the Strutinsky method we add shell and pairing energy corrections to the macroscopic energy. The pairing corrections are evaluated within the BCS theory. The equilibrium deformations of Fm isotopes are determined. Ground-state masses and rotational states obtained using the cranking moments of inertia are compared to the experimental data.

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The model assumptions of the recently formulated framework of highly-anisotropic and strongly-dissipative hydrodynamics (ADHYDRO) are analyzed. In particular, we study dependence of numerical results on different forms of the entropy source and compare our approach with other frameworks describing locally anisotropic fluids. We also discuss the effects of different forms of the initial conditions on the process of isotropization.

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We identify two alternative Lagrangian representations for the damped harmonic oscillator characterised by a frictional coefficient \(\gamma \). The first one is explicitly time independent while the second one involves time parameter explicitly. With separate attention to both Lagrangians we make use of the Noether theorem to compute the variational symmetries and conservation laws in order to study how association between them changes as one goes from one representation to the other. In the case of time-independent representation squeezing symmetry leads to conservation of angular momentum for \(\gamma =0\), while for the time-dependent Lagrangian the same conserved quantity results from rotational invariance. The Lie algebra \((g)\) of the symmetry vectors that leaves the action corresponding to the time-independent Lagrangian invariant is semi-simple. On the other hand, \(g\) is only a simple Lie algebra for the action characterised by the time-dependent Lagrangian.

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It is a well-established fact that gold has many economic functions including hedging against inflation and providing economic and physical safety. For this it is very important to know the nature of fluctuations in gold prices. In this paper, applying the Multifractal Detrended Fluctuation Analysis (MF-DFA) for the world gold price data for over 40-year period from 1968 to 2010, the multifractal properties and scaling behavior of gold price time series is numerically investigated. The scaling exponents, generalized Hurst exponents, generalized fractal dimensions and singularity spectrum are derived. Furthermore, impact of two major sources of multifractality, i.e. fat-tailed probability distributions and nonlinear temporal correlations are also examined. Our findings suggest that multifractality in gold price is mainly due to the temporal correlation.

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The equations of the new theory of gravitation with vacuum polarization (TGVP) are offered. The case of the flat Robertson–Walker universe is considered. The variant of singularity-free model is constructed.