Browsing by Author "Benczik, S. Z."

Now showing 1 - 6 of 6
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    Classical Implications of the Minimal Length Uncertainty Relation
    Benczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Okamura, Naotoshi; Rayyan, S.; Takeuchi, Tatsu (2002-09-12)
    We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p^2) delta_{ij} + beta' p_i p_j]. In particular, we investigate the "deformation" of Kepler's third law and apply our result to the rotation curves of gas and stars in spiral galaxies.
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    Hydrogen-atom spectrum under a minimal-length hypothesis
    Benczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu (American Physical Society, 2005-07-01)
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    Hydrogen-atom spectrum under a minimal-length hypothesis
    Benczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu (American Physical Society, 2005-07)
    The energy spectrum of the Coulomb potential with minimal length commutation relations [X-i, P-j] = ih{delta ij(1 + beta P-2) + beta PiPj} is determined both numerically and perturbatively for arbitrary values of beta'/beta and angular momenta l. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of the order of a few GeV-1, weaker than previously claimed.
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    Opinion dynamics on an adaptive random network
    Benczik, I. J.; Benczik, S. Z.; Schmittmann, Beate; Zia, Royce K. P. (American Physical Society, 2009-04)
    We revisit the classical model for voter dynamics in a two-party system with two basic modifications. In contrast to the original voter model studied in regular lattices, we implement the opinion formation process in a random network of agents in which interactions are no longer restricted by geographical distance. In addition, we incorporate the rapidly changing nature of the interpersonal relations in the model. At each time step, agents can update their relationships. This update is determined by their own opinion, and by their preference to make connections with individuals sharing the same opinion, or rather with opponents. In this way, the network is built in an adaptive manner, in the sense that its structure is correlated and evolves with the dynamics of the agents. The simplicity of the model allows us to examine several issues analytically. We establish criteria to determine whether consensus or polarization will be the outcome of the dynamics and on what time scales these states will be reached. In finite systems consensus is typical, while in infinite systems a disordered metastable state can emerge and persist for infinitely long time before consensus is reached.
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    Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation
    Benczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Okamura, Naotoshi; Rayyan, S.; Takeuchi, Tatsu (American Physical Society, 2002-07-15)
    We continue our investigation of the phenomenological implications of the "deformed" commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over bar[(1+beta(p) over cap (2))delta(ij)+beta'(p) over cap (i)(p) over cap (j)]. These commutation relations are motivated by the fact that they lead to the minimal length uncertainty relation which appears in perturbative string theory. In this paper, we consider the effects of the deformation on the classical orbits of particles in a central force potential. Comparison with observation places severe constraints on the value of the minimum length.
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    Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation
    Benczik, S. Z.; Chang, Lay Nam; Minic, Djordje; Okamura, Naotoshi; Rayyan, S.; Takeuchi, Tatsu (American Physical Society, 2002-07-15)
    We continue our investigation of the phenomenological implications of the “deformed” commutation relations [xi, pj ] = ih[(1 + βp2)δij + β′pipj]. These commutation relations are motivated by the fact that they lead to the minimal length uncertainty relation which appears in perturbative string theory. In this paper, we consider the effects of the deformation on the classical orbits of particles in a central force potential. Comparison with observation places severe constraints on the value of the minimum length.