Mesoscopic Full Counting Statistics and Exclusion models

Autor: Benoît Douçot, Philippe-E. Roche, Bernard Derrida
Přispěvatelé: Centre de Recherches sur les Très Basses Températures (CRTBT), Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique de Grenoble (INPG)-Université Joseph Fourier - Grenoble 1 (UJF), Laboratoire de Physique Statistique de l'ENS (LPS), Université Paris Diderot - Paris 7 (UPD7)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2005
Předmět:
thermal noise
automata
FOS: Physical sciences
Higher-order statistics
exclusion statistics
01 natural sciences
010305 fluids & plasmas
Matrix (mathematics)
exclusion models
exclusion principle
0103 physical sciences
Statistics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
010306 general physics
Quantum
Eigenvalues and eigenvectors
Condensed Matter - Statistical Mechanics
[PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]
Physics
Mesoscopic physics
Statistical Mechanics (cond-mat.stat-mech)
Condensed Matter - Mesoscale and Nanoscale Physics
full counting statistics
Shot noise
Condensed Matter Physics
shot shot noise
mesoscopic conductors
SSEP
Electronic
Optical and Magnetic Materials
Distribution (mathematics)
Skewness
[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]
Zdroj: The European Physical Journal B: Condensed Matter and Complex Systems
The European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2005, 43, pp.529. ⟨10.1140/epjb/e2005-00087-5⟩
The European Physical Journal B: Condensed Matter and Complex Systems, 2005, 43, pp.529. ⟨10.1140/epjb/e2005-00087-5⟩
ISSN: 1434-6028
1434-6036
DOI: 10.1140/epjb/e2005-00087-5⟩
Popis: We calculate the distribution of current fluctuations in two simple exclusion models. Although these models are classical, we recover even for small systems such as a simple or a double barrier, the same distibution of current as given by traditionnal formalisms for quantum mesoscopic conductors. Due to their simplicity, the full counting statistics in exclusion models can be reduced to the calculation of the largest eigenvalue of a matrix, the size of which is the number of internal configurations of the system. As examples, we derive the shot noise power and higher order statistics of current fluctuations (skewness, full counting statistics, ....) of various conductors, including multiple barriers, diffusive islands between tunnel barriers and diffusive media. A special attention is dedicated to the third cumulant, which experimental measurability has been demonstrated lately.
Submitted to Eur. Phys. J. B
Databáze: OpenAIRE
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