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24 April 2024
 
  » arxiv » cond-mat/0210617

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Distribution of voltage fluctuations in a current-biased conductor
M. Kindermann ; Yu.V. Nazarov ; C.W.J. Beenakker ;
Date 28 Oct 2002
Journal Phys.Rev.Lett. 90, 246805 (2003) DOI: 10.1103/PhysRevLett.90.246805
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe calculate the fluctuating voltage V(t) over a conductor driven out of equilibrium by a current source. This is the dual of the shot noise problem of current fluctuations I(t) in a voltage-biased circuit. In the single-channel case the distribution of the accumulated phase Phi=(e/hbar)int Vdt is the Pascal (or binomial waiting-time) distribution -- distinct from the binomial distribution of transferred charge Q=int Idt. The weak-coupling limit of a Poissonian P(Phi) is reached in the limit of a ballistic conductor, while in the tunneling limit P(Phi) has the chi-square form.
Source arXiv, cond-mat/0210617
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