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Title:

Takeshi Momi: Excess Demand Functions with Incomplete Markets – A Global Result

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The exact solution of the Dorokhov-Mello-Pereyra-Kumar-equation for quasi one-dimensional disordered conductors in the unitary symmetry class is employed to calculate all m-point correlation functions by a generalization of the method of orthogonal polynomials. We obtain closed expressions for the first two conductance moments which are valid fo...

The exact solution of the Dorokhov-Mello-Pereyra-Kumar-equation for quasi one-dimensional disordered conductors in the unitary symmetry class is employed to calculate all m-point correlation functions by a generalization of the method of orthogonal polynomials. We obtain closed expressions for the first two conductance moments which are valid for the whole range of length scales from the metallic regime (L ≪ Nl) to the insulating regime (L ≫ Nl) and for arbitrary channel number. In the limit N → ∞ (with L/(Nl) = const.) our expressions agree exactly with those of the non-linear σ-model derived from microscopic Hamiltonians. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-15

Source:

http://arxiv.org/pdf/cond-mat/9504027v1.pdf

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text

Language:

en

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1

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Title:

Crossover of Magnetoconductance Autocorrelation for a Ballistic Chaotic Quantum Dot

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The autocorrelation function C ';" (\Delta'; \Delta") = hffig('; ") ffi g('+ \Delta'; " + \Delta")i (' and " are rescaled magnetic flux and energy) for the magnetoconductance of a ballistic chaotic quantum dot is calculated in the framework of the supersymmetric non-linear oe-model. The Hamiltonian of the quantum dot is modelled by a Gaussian ra...

The autocorrelation function C ';" (\Delta'; \Delta") = hffig('; ") ffi g('+ \Delta'; " + \Delta")i (' and " are rescaled magnetic flux and energy) for the magnetoconductance of a ballistic chaotic quantum dot is calculated in the framework of the supersymmetric non-linear oe-model. The Hamiltonian of the quantum dot is modelled by a Gaussian random matrix. The particular form of the symmetry breaking matrix is found to be relevant for the autocorrelation function but not for the average conductance. Our results are valid for the complete crossover from orthogonal to unitary symmetry and their relation with semiclassical theory and an S-matrix Brownian motion ensemble is discussed. PACS. 05.45, 72.10B, 72.15R Typeset using REVT E X GaAs/Al x Ga 1\Gammax As heterostructures provide useful experimental realizations [1--3] of twodimensional ballistic cavities known as quantum dots. Measuring the conductance of a quantum dot connected to electron reservoirs, one can study the quantum beh. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-12

Source:

http://w3-phystheo.ups-tlse.fr/~frahm/ps_files/mag_cond.ps

http://w3-phystheo.ups-tlse.fr/~frahm/ps_files/mag_cond.ps Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

Crossover of magnetoconductance autocorrelation for a ballistic chaotic quantum dot

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The autocorrelation function Cϕ,ε(∆ϕ, ∆ε) = ⟨δg(ϕ, ε)δg(ϕ + ∆ϕ, ε + ∆ε)⟩ (ϕ and ε are rescaled magnetic flux and energy) for the magnetoconductance of a ballistic chaotic quantum dot is calculated in the framework of the supersymmetric non-linear σ-model. The Hamiltonian of the quantum dot is modelled by a Gaussian random matrix. The particular ...

The autocorrelation function Cϕ,ε(∆ϕ, ∆ε) = ⟨δg(ϕ, ε)δg(ϕ + ∆ϕ, ε + ∆ε)⟩ (ϕ and ε are rescaled magnetic flux and energy) for the magnetoconductance of a ballistic chaotic quantum dot is calculated in the framework of the supersymmetric non-linear σ-model. The Hamiltonian of the quantum dot is modelled by a Gaussian random matrix. The particular form of the symmetry breaking matrix is found to be relevant for the autocorrelation function but not for the average conductance. Our results are valid for the complete crossover from orthogonal to unitary symmetry and their relation with semiclassical theory and an S-matrix Brownian motion ensemble is discussed. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-15

Source:

http://arxiv.org/pdf/cond-mat/9504104v1.pdf

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text

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en

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cond-mat/9508056 Quantum transport in disordered wires: Equivalence of one-dimensional σ model and Dorokhov-Mello-Pereyra-Kumar

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The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the ...

The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the average conductance by Zirnbauer [PRL 69, 1584 (1992)], which disagreed with the Fokker-Planck approach in the symplectic symmetry class. We resolve this controversy by pointing to an incorrect implementation of Kramers degeneracy in these calculations, and we derive modified expressions for the first two conductance moments which agree well with existing numerical simulations from the metallic into the localized regime. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-14

Source:

http://arxiv.org/pdf/cond-mat/9508056v1.pdf

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text

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en

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channels

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Large Petermann factor in chaotic cavities with many scattering

Large Petermann factor in chaotic cavities with many scattering Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/chao-dyn/9909012v1.pdf

http://arxiv.org/pdf/chao-dyn/9909012v1.pdf Minimize

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text

Language:

en

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Title:

Scaling in Interaction-Assisted Coherent Transport

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The pair localization length L 2 of two interacting electrons in one-- dimensional disordered systems is studied numerically. Using two direct approaches, we find L 2 / L ff 1 , where L 1 is the one-electron localization length and ff ß 1:65. This demonstrates the enhancement effect proposed by Shepelyansky, but the value of ff differs from prev...

The pair localization length L 2 of two interacting electrons in one-- dimensional disordered systems is studied numerically. Using two direct approaches, we find L 2 / L ff 1 , where L 1 is the one-electron localization length and ff ß 1:65. This demonstrates the enhancement effect proposed by Shepelyansky, but the value of ff differs from previous estimates (ff = 2) in the disorder range considered. We explain this discrepancy using a scaling picture recently introduced by Imry and taking into account a more accurate distribution than previously assumed for the overlap of one-electron wavefunctions. PACS numbers: 71.30, 72.15.R Typeset using REVT E X Very recently, Shepelyansky [1] considered the problem of two interacting electrons in a random potential, defined by the Schrodinger equation (E \Gamma V n 1 ;n 2 )/ n 1 ;n 2 = / n 1 +1;n 2 + / n 1 \Gamma1;n 2 + / n 1 ;n 2 +1 + / n 1 ;n 2 \Gamma1 : (1) Here, V n 1 ;n 2 = V n 1 + V n 2 + U ffi n 1 ;n 2 , U characterizes the on-site i. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-12

Source:

http://w3-phystheo.ups-tlse.fr/~frahm/ps_files/tip_tmm.ps

http://w3-phystheo.ups-tlse.fr/~frahm/ps_files/tip_tmm.ps Minimize

Document Type:

text

Language:

en

DDC:

541 Physical chemistry *(computed)*

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Title:

Quantum Transport in Disordered Wires: Equivalence of One-Dimensional Sigma Model and Dorokhov-Mello-Pereyra-Kumar Equation

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The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the ...

The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the average conductance by Zirnbauer [PRL 69, 1584 (1992)], which disagreed with the Fokker-Planck approach in the symplectic symmetry class. We resolve this controversy by pointing to an incorrect implementation of Kramers degeneracy in these calculations, and we derive modified expressions for the first two conductance moments which agree well with existing numerical simulations from the metallic into the localized regime. ***Submitted to Physical Review B.*** ; Comment: 21 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting archive. A complete postscript file with figures and text (13 pages) is available from http://rulgm4.LeidenUniv.nl/preprints.html Minimize

Year of Publication:

1995-08-16

Document Type:

text

Subjects:

Condensed Matter

Condensed Matter Minimize

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Title:

Comparative morphology of the accessory olfactory bulb in bats.

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Bouin-perfused brains of 148 bats (76 species, 48 genera, 8 families) were examined in serial sections for the presence of an accessory olfactory bulb. A moderate to well developed AOB was identified in 26 species. However, absence of an AOB in a particular species does not preclude its presence in some other species of that genus. Descriptions ...

Bouin-perfused brains of 148 bats (76 species, 48 genera, 8 families) were examined in serial sections for the presence of an accessory olfactory bulb. A moderate to well developed AOB was identified in 26 species. However, absence of an AOB in a particular species does not preclude its presence in some other species of that genus. Descriptions and measurements of the AOBs of each species are reported. The unmyelinated vomeronasal nerve enters the bulb medially and posteriorly. The glomeruli, variable in diameter, appear better circumscribed than previously described. Mitral cells often form thick layers, up to five cells deep, which sometimes reach the dorsolateral surface of the bulb formation. Both external and internal plexiform layers are thin. The latter, however is seen only in a few species. The internal granular layer, reaching the ventricular ependyma in some species, is a prominent component of the bulb. The pars dorsalis of the lateral olfactory tract usually courses between the mitral and internal granular layers. The chiropteran AOB does not differ in significant detail from that of insectivores, primates and other mammals. The occurrence of a functional vomeronasal system in the frugivorous, nectarivorous, and sanguivorous Phyllosotomatidae points to a primary functional role of this system in feeding strategy, at least in bats. Minimize

Year of Publication:

1980-03

Document Type:

Text

Language:

en

Subjects:

Research Article

Research Article Minimize

DDC:

590 Animals (Zoology) *(computed)*

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Title:

Google matrix of Twitter

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We construct the Google matrix of the entire Twitter network, dated by July 2009, and analyze its spectrum and eigenstate properties including the PageRank and CheiRank vectors and 2DRanking of all nodes. Our studies show much stronger inter-connectivity between top PageRank nodes for the Twitter network compared to the networks of Wikipedia and...

We construct the Google matrix of the entire Twitter network, dated by July 2009, and analyze its spectrum and eigenstate properties including the PageRank and CheiRank vectors and 2DRanking of all nodes. Our studies show much stronger inter-connectivity between top PageRank nodes for the Twitter network compared to the networks of Wikipedia and British Universities studied previously. Our analysis allows to locate the top Twitter users which control the information flow on the network. We argue that this small fraction of the whole number of users, which can be viewed as the social network elite, plays the dominant role in the process of opinion formation on the network. ; Comment: Research at http://www.quantware.ups-tlse.fr/ 8 pages, 8 figures, Additional data available at: http://www.quantware.ups-tlse.fr/QWLIB/twittermatrix/ Minimize

Year of Publication:

2012-07-14

Document Type:

text

Subjects:

Computer Science - Social and Information Networks ; Physics - Physics and Society

Computer Science - Social and Information Networks ; Physics - Physics and Society Minimize

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Title:

Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks

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We use the methods of quantum chaos and Random Matrix Theory for analysis of statistical fluctuations of PageRank probabilities in directed networks. In this approach the effective energy levels are given by a logarithm of PageRank probability at a given node. After the standard energy level unfolding procedure we establish that the nearest spac...

We use the methods of quantum chaos and Random Matrix Theory for analysis of statistical fluctuations of PageRank probabilities in directed networks. In this approach the effective energy levels are given by a logarithm of PageRank probability at a given node. After the standard energy level unfolding procedure we establish that the nearest spacing distribution of PageRank probabilities is described by the Poisson law typical for integrable quantum systems. Our studies are done for the Twitter network and three networks of Wikipedia editions in English, French and German. We argue that due to absence of level repulsion the PageRank order of nearby nodes can be easily interchanged. The obtained Poisson law implies that the nearby PageRank probabilities fluctuate as random independent variables. ; Comment: 4 pages, 4 figures http://www.quantware.ups-tlse.fr/ Minimize

Year of Publication:

2014-02-24

Document Type:

text

Subjects:

Physics - Physics and Society ; Condensed Matter - Statistical Mechanics ; Nonlinear Sciences - Chaotic Dynamics

Physics - Physics and Society ; Condensed Matter - Statistical Mechanics ; Nonlinear Sciences - Chaotic Dynamics Minimize

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