16,614 research outputs found

    2D and 3D cubic monocrystalline and polycrystalline materials: their stability and mechanical properties

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    We consider 2- and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for studying properties of these mechanical characteristics on sides of the stability triangles. For crystalline high-symmetry directions lines of vanishing Poisson's ratio are found. These lines demarcate regions of the stability triangle into areas of various auxeticity properties. The simplest model of polycrystalline 2D and 3D cubic materials is considered. In polycrystalline phases the region of complete auxetics is larger than for monocrystalline materials.Comment: 9 pages, 3 figures, in proceedings of the Tenth International School on Theoretical Physics, Symmetry and Structural Properties of Condensed Matter, Myczkowce 200

    Efficiency at maximum power of minimally nonlinear irreversible heat engines

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    We propose the minimally nonlinear irreversible heat engine as a new general theoretical model to study the efficiency at the maximum power η\eta^* of heat engines operating between the hot heat reservoir at the temperature ThT_h and the cold one at TcT_c (TcThT_c \le T_h ). Our model is based on the extended Onsager relations with a new nonlinear term meaning the power dissipation. In this model, we show that η\eta^* is bounded from the upper side by a function of the Carnot efficiency ηC1Tc/Th\eta_C\equiv 1-T_c/T_h as ηηC/(2ηC)\eta^*\le \eta_C/(2-\eta_C). We demonstrate the validity of our theory by showing that the low-dissipation Carnot engine can easily be described by our theory.Comment: 6 pages, 1 figur

    String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states

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    We have introduced a class of exactly soluble Hamiltonian with either SO(2n+1) or SU(2) symmetry, whose ground states are the SO(2n+1) symmetric matrix product states. The hidden topological order in these states can be fully identified and characterized by a set of nonlocal string order parameters. The Hamiltonian possesses a hidden (Z2×Z2)n(Z_{2}\times Z_{2})^{n} topological symmetry. The breaking of this hidden symmetry leads to 4n4^{n} degenerate ground states with disentangled edge states in an open chain system. Such matrix product states can be regarded as cluster states, applicable to measurement-based quantum computation.Comment: 5 pages, 1 figur

    Efficiency of a Brownian information machine

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    A Brownian information machine extracts work from a heat bath through a feedback process that exploits the information acquired in a measurement. For the paradigmatic case of a particle trapped in a harmonic potential, we determine how power and efficiency for two variants of such a machine operating cyclically depend on the cycle time and the precision of the positional measurements. Controlling only the center of the trap leads to a machine that has zero efficiency at maximum power whereas additional optimal control of the stiffness of the trap leads to an efficiency bounded between 1/2, which holds for maximum power, and 1 reached even for finite cycle time in the limit of perfect measurements.Comment: 9 pages, 2 figure

    Thermoelectric efficiency at maximum power in a quantum dot

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    We identify the operational conditions for maximum power of a nanothermoelectric engine consisting of a single quantum level embedded between two leads at different temperatures and chemical potentials. The corresponding thermodynamic efficiency agrees with the Curzon-Ahlborn expression up to quadratic terms in the gradients, supporting the thesis of universality beyond linear response.Comment: 4 pages, 3 figure

    Unified Correlation of In-Plane and Out-of-Plane Creep Constraints with Creep Crack Growth Rate

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    AbstractIn this paper, the equivalent creep strain distributions ahead of crack tips in different specimens were calculated by extensive finite element analyses, and the creep crack growth (CCG) rates of these specimens were simulated over a wide range of C*. The capability and applicability of the constraint parameter Ac for characterizing both in-plane and out-of-plane creep crack-tip constraints and establishing a unified correlation with CCG rate of a steel were investigated. Base on the parameter Ac, the unified correlation formulas of in-plane and out-of-plane constraints with CCG rate of a steel have been obtained

    Comment on: Role of Intermittency in Urban Development: A Model of Large-Scale City Formation

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    Comment to D.H. Zanette and S.C. Manrubia, Phys. Rev. Lett. 79, 523 (1997).Comment: 1 page no figure

    Energy efficiency of small cell backhaul networks based on Gauss-Markov mobile models

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    © The Institution of Engineering and Technology 2015. To satisfy the recent growth of mobile data usage, small cells are recommended to deploy into conventional cellular networks. However, the massive backhaul traffic is a troublesome problem for small cell networks, especial in wireless backhaul transmission links. In this study, backhaul traffic models are first presented considering the Gauss-Markov mobile models of mobile stations in small cell networks. Furthermore, an energy efficiency model of small cell backhaul networks with Gauss-Markov mobile models has been proposed. Numerical results indicate that the energy efficiency of small cell backhaul networks can be optimised by trade-off the number and radius of small cells in cellular networks
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