28,412 research outputs found

    Collapse transition in polymer models with multiple monomers per site and multiple bonds per edge

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    We present results from extensive Monte Carlo simulations of polymer models where each lattice site can be visited by up to KK monomers and no restriction is imposed on the number of bonds on each lattice edge. These \textit{multiple monomer per site} (MMS) models are investigated on the square and cubic lattices, for K=2K=2 and K=3K=3, by associating Boltzmann weights ω0=1\omega_0=1, ω1=eβ1\omega_1=e^{\beta_1} and ω2=eβ2\omega_2=e^{\beta_2} to sites visited by 1, 2 and 3 monomers, respectively. Two versions of the MMS models are considered for which immediate reversals of the walks are allowed (RA) or forbidden (RF). In contrast to previous simulations of these models, we find the same thermodynamic behavior for both RA and RF versions. In three-dimensions, the phase diagrams - in space β2×β1\beta_2 \times \beta_1 - are featured by coil and globule phases separated by a line of Θ\Theta points, as thoroughly demonstrated by the metric νt\nu_t, crossover ϕt\phi_t and entropic γt\gamma_t exponents. The existence of the Θ\Theta-lines is also confirmed by the second virial coefficient. This shows that no discontinuous collapse transition exists in these models, in contrast to previous claims based on a weak bimodality observed in some distributions, which indeed exists in a narrow region very close to the Θ\Theta-line when β1<0\beta_1 < 0. Interestingly, in two-dimensions, only a crossover is found between the coil and globule phases

    A novel steganography approach for audio files

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    We present a novel robust and secure steganography technique to hide images into audio files aiming at increasing the carrier medium capacity. The audio files are in the standard WAV format, which is based on the LSB algorithm while images are compressed by the GMPR technique which is based on the Discrete Cosine Transform (DCT) and high frequency minimization encoding algorithm. The method involves compression-encryption of an image file by the GMPR technique followed by hiding it into audio data by appropriate bit substitution. The maximum number of bits without significant effect on audio signal for LSB audio steganography is 6 LSBs. The encrypted image bits are hidden into variable and multiple LSB layers in the proposed method. Experimental results from observed listening tests show that there is no significant difference between the stego audio reconstructed from the novel technique and the original signal. A performance evaluation has been carried out according to quality measurement criteria of Signal-to-Noise Ratio (SNR) and Peak Signal-to-Noise Ratio (PSNR)

    A class of cubic Rauzy Fractals

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    In this paper, we study arithmetical and topological properties for a class of Rauzy fractals Ra{\mathcal R}_a given by the polynomial x3−ax2+x−1x^3- ax^2+x-1 where a≥2a \geq 2 is an integer. In particular, we prove the number of neighbors of Ra{\mathcal R}_a in the periodic tiling is equal to 88. We also give explicitly an automaton that generates the boundary of Ra{\mathcal R}_a. As a consequence, we prove that R2{\mathcal R}_2 is homeomorphic to a topological disk
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