60,160 research outputs found

    Reflection matrices for the Uq[sl(r∣2m)(2)]U_{q}[sl(r|2m)^{(2)}] vertex model

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    The graded reflection equation is investigated for the Uq[sl(r∣2m)(2)]U_{q}[sl(r|2m)^{(2)}] vertex model. We have found four classes of diagonal solutions and twelve classes of non-diagonal ones. The number of free parameters for some solutions depends on the number of bosonic and fermionic degrees of freedom considered.Comment: 30 page

    Radial distribution function of penetrable sphere fluids to second order in density

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    The simplest bounded potential is that of penetrable spheres, which takes a positive finite value ϵ\epsilon if the two spheres are overlapped, being 0 otherwise. In this paper we derive the cavity function to second order in density and the fourth virial coefficient as functions of T∗≡kBT/ϵT^*\equiv k_BT/\epsilon (where kBk_B is the Boltzmann constant and TT is the temperature) for penetrable sphere fluids. The expressions are exact, except for the function represented by an elementary diagram inside the core, which is approximated by a polynomial form in excellent agreement with accurate results obtained by Monte Carlo integration. Comparison with the hypernetted-chain (HNC) and Percus-Yevick (PY) theories shows that the latter is better than the former for T∗≲1T^*\lesssim 1 only. However, even at zero temperature (hard sphere limit), the PY solution is not accurate inside the overlapping region, where no practical cancelation of the neglected diagrams takes place. The exact fourth virial coefficient is positive for T∗≲0.73T^*\lesssim 0.73, reaches a minimum negative value at T∗≈1.1T^*\approx 1.1, and then goes to zero from below as 1/T∗41/{T^*}^4 for high temperatures. These features are captured qualitatively, but not quantitatively, by the HNC and PY predictions. In addition, in both theories the compressibility route is the best one for T∗≲0.7T^*\lesssim 0.7, while the virial route is preferable if T∗≳0.7T^*\gtrsim 0.7.Comment: 10 pages, 2 figures; v2: minor changes; to be published in PR

    The success factors for SMEs: Empirical evidence

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    This paper empirically analyzes the success factors for SMEs. Particularly, the paper intends to analyze if firm age, human resource costs, debt, venture capital funding, investment in innovation and productivity are success factors for SMEs. The effects were tested using static and dynamic panel data, on a data set of 200 Portuguese SMEs. The use of dynamic panel data is important in order to control for: endogeneity; time-invariant characteristics; possible collinearity between independent variables; effects from possible omission of independent variables; elimination of non-observable individual effects; and, the correct estimation of the relationship between the dependent variable in the previous and current periods. Our results reveal a positive impact on success of: human resource costs; investments in innovation; productivity; and, venture capital funding. We also confirm the negative impact of firm age and debt. Also, the results show evidence of persistence in success for the case of one of the success proxies used

    The effects of violating detailed balance on critical dynamics

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    We present an overview of the effects of detailed-balance violating perturbations on the universal static and dynamic scaling behavior near a critical point. It is demonstrated that the standard critical dynamics universality classes are generally quite robust: In systems with non-conserved order parameter, detailed balance is effectively restored at criticality. This also holds for models with conserved order parameter, and isotropic non-equilibrium perturbations. Genuinely novel features are found only for models with conserved order parameter and spatially anisotropic noise correlations.Comment: 4 pages, revtex, no figure
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