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  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 72 (1993), S. 277-296 
    ISSN: 1572-9613
    Schlagwort(e): Asymmetric exclusion process ; steady state ; boundaryinduced phase transitions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We consider an exclusion process with particles injected with rate α at the origin and removed with rate β at the right boundary of a one-dimensional chain of sites. The particles are allowed to hop onto unoccupied sites, to the right only. For the special case of α =β = 1 the model was solved previously by Derridaet al. Here we extend the solution to general α, β. The phase diagram obtained from our exact solution differs from the one predicted by the mean-field approximation.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 71 (1993), S. 471-505 
    ISSN: 1572-9613
    Schlagwort(e): Asymmetric exclusion process ; Bethe ansatz ; steady state ; boundary-induced phase transitions ; correlation functions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We present a model for a one-dimensional anisotropic exclusion process describing particles moving deterministically on a ring of lengthL with a single defect, across which they move with probability 0 ⩽p ⩽ 1. This model is equivalent to a two-dimensional, six-vertex model in an extreme anisotropic limit with a defect line interpolating between open and periodic boundary conditions. We solve this model with a Bethe ansatz generalized to this kind of boundary condition. We discuss in detail the steady state and derive exact expressions for the currentj, the density profilen(x), and the two-point density correlation function. In the thermodynamic limitL → ∞ the phase diagram shows three phases, a low-density phase, a coexistence phase, and a high-density phase related to the low-density phase by a particle-hole symmetry. In the low-density phase the density profile decays exponentially with the distance from the boundary to its bulk value on a length scale ξ. On the phase transition line ξ diverges and the currentj approaches its critical valuej c = p as a power law,j c − j ∞ ξ−1/2. In the coexistence phase the widthδ of the interface between the high-density region and the low-density region is proportional toL 1/2 if the densityρ f 1/2 andδ=0 independent ofL ifρ = 1/2. The (connected) two-point correlation function turns out to be of a scaling form with a space-dependent amplitude n(x1, x2) =A(x2)A Ke−r/ξ withr = x 2 −x 1 and a critical exponent κ = 0.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    ISSN: 1432-2013
    Schlagwort(e): Key words Aldosterone ; Amiloride ; Epithelial Na+ channel ; Glucocorticoids ; NaCl metabolism ; Pseudohypoaldosteronism
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Medizin
    Notizen: Abstract  The mineralocorticoid receptor knock-out mouse (MR–/–), resembling inborn pseudohypoaldosteronism, dies 8–12 days after birth in circulatory failure with all the signs of terminal volume contraction. The present study aimed to examine the functional defects in the kidney and colon in detail and to attempt to rescue these mice. In neonatal (nn) MR–/– the amiloride-sensitive short-circuit current in the colon was reduced to approximately one-third compared to controls (MR+/+ and MR+/–). In isolated in vitro perfused collecting ducts the amiloride-induced hyperpolarization of the basolateral membrane (V bl) of nn MR–/– was similar to that of controls, but urinary Na+ excretion was markedly increased to 4.3 µmol/day·g (BW). Based on this measured urinary Na+ loss we tried to rescue nn MR–/– mice by injecting NaCl twice daily (3.85 µmol/g BW), corresponding to 22 µl of isotonic saline/g BW subcutaneously. This regimen was continued until the animals had reached a body mass of 8.5 g. Thereafter, in addition to normal chow and tap water, NaCl drinking water (333 mmol/l) and pellets soaked in 333 mmol/l NaCl were offered. Unlike the untreated nn MR–/– most of these mice survived. The adult animals were examined between days 27 and 41, some were used for breeding. When compared to age-matched controls the growth of MR–/– was delayed until day 20. Then their growth curve increased in slope and reached that of controls. MR–/– retained their Na+-losing defect. Amiloride’s effect on urinary Na+ excretion was not significant in MR–/– mice and the effect on V bl in isolated cortical collecting ducts was attenuated. The renin-producing cells were hypertrophic and hyperplastic. Plasma renin and aldosterone concentrations were significantly elevated in MR–/– mice. These data indicate that MR–/– can be rescued by timely and matched NaCl substitutions. This enables the animals to develop through a critical phase of life, after which they adapt their oral salt and water intake to match the elevated excretion rate; however, the renal salt-losing defect persists.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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