71,647 research outputs found

    Evaluation of Packed Towers for Removing Volatile Organics from Surface Waters

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    This study analyzes the potential of packed tower aeration as a remedial treatment process for the removal of trace organics on either an acute or chronic basis. Both pilot-scale installations of the packed tower process were reviewed. Included are basic modeling considerations for the removal of volatile trace organics from raw water. Included also is an assessment of the state of the technology as applied to air stripping of water

    Bi-orthogonal Polynomials and the Five parameter Asymmetric Simple Exclusion Process

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    We apply the bi-moment determinant method to compute a representation of the matrix product algebra -- a quadratic algebra satisfied by the operators d\mathbf{d} and e\mathbf{e} -- for the five parameter (ι\alpha, β\beta, γ\gamma, δ\delta and qq) Asymmetric Simple Exclusion Process. This method requires an LDULDU decomposition of the ``bi-moment matrix''. The decomposition defines a new pair of basis vectors sets, the `boundary basis'. This basis is defined by the action of polynomials {Pn}\{P_n\} and {Qn}\{Q_n\} on the quantum oscillator basis (and its dual). Theses polynomials are orthogonal to themselves (ie.\ each satisfy a three term recurrence relation) and are orthogonal to each other (with respect to the same linear functional defining the stationary state). Hence termed `bi-orthogonal'. With respect to the boundary basis the bi-moment matrix is diagonal and the representation of the operator d+e\mathbf{d}+\mathbf{e} is tri-diagonal. This tri-diagonal matrix defines another set of orthogonal polynomials very closely related to the the Askey-Wilson polynomials (they have the same moments)
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