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Anderson Model

Parabolic Anderson model in a dynamic random environment: random conductances

Parabolic Anderson model in a dynamic random environment: random conductances

... Random walks with random conductances have been studied intensively in the literature. For a recent overview, we refer the reader to Biskup [2]. The goal of the present paper is to study the version of the Parabolic ...

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On large scale diagonalization techniques for the Anderson model of localization

On large scale diagonalization techniques for the Anderson model of localization

... Abstract. We propose efficient preconditioning algorithms for an eigenvalue problem arising in quantum physics, namely the computation of a few interior eigenvalues and their associated eigenvectors for large-scale sparse ...

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A simple construction of the continuum parabolic Anderson model on R2

A simple construction of the continuum parabolic Anderson model on R2

... parabolic Anderson model has already been con- structed independently by Gubinelli, Imkeller and Perkowski [6] and by Hairer [8] in dimension 2 and, to some extent, by Hairer and Pardoux [7] in dimension 3 ...

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The parabolic Anderson model and long-range percolation

The parabolic Anderson model and long-range percolation

... 1. Theorem 3.1.1 yields a partial answer to the question: Which random walk paths give the main contribution to the Feynman-Kac formula in (3.1.7)? Indeed, Theorem 3.1.1 shows that, for large κ and any dynamic ξ that is ...

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High precision multifractal analysis in the 3D Anderson model of localisation

High precision multifractal analysis in the 3D Anderson model of localisation

... the Anderson model of localisation using high-precision data and very large system ...the Anderson transition such as the following: validity of the symmetry in the multifractal exponents and in the ...

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The Bouchaud Anderson model with double exponential potential

The Bouchaud Anderson model with double exponential potential

... Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple ran- dom walk is replaced by a random walk in an inhomogeneous trap- ping ...

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Delocalising the Parabolic Anderson Model through partial duplication of the potential

Delocalising the Parabolic Anderson Model through partial duplication of the potential

... parabolic Anderson model on Z d with ...the model in which the potential is par- tially duplicated in a symmetric way across a plane through the ...the model as the decay exponent ...the ...

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A new phase transition in the parabolic Anderson model with partially duplicated potential

A new phase transition in the parabolic Anderson model with partially duplicated potential

... parabolic Anderson model, introduced in previous work, in which an ...this model on the integers in the case of Pareto distributed potential with parameter α > 1 and fixed duplication probability ...

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Localisation in the Bouchaud Anderson model

Localisation in the Bouchaud Anderson model

... 2010 Mathematics Subject Classification. 60H25 (Primary) 82C44, 60F10, 60G50, 35P05 (Secondary). Key words and phrases. Parabolic Anderson model, Bouchaud trap model, localisation, intermittency. ...

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From the artificial atom to the Kondo-Anderson model: Orientation-dependent magnetophotoluminescence of charged excitons in InAs quantum dots

From the artificial atom to the Kondo-Anderson model: Orientation-dependent magnetophotoluminescence of charged excitons in InAs quantum dots

... We present a magneto-photoluminescence study on neutral and charged excitons confined to InAs/GaAs quantum dots. Our investigation relies on a confocal microscope that allows arbitrary tuning of the angle between the ...

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Anderson universality in a model of disordered phonons

Anderson universality in a model of disordered phonons

... the Anderson model of localization [22, ...scalar model of lattice vibrations stud- ied here falls into the universality class of the Anderson transition [27, ...

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Scattering approach to Anderson localization

Scattering approach to Anderson localization

... To support the validity of the above relations we com- puted S and Q matrices numerically using the recur- sion relations for the two-dimensional Anderson model. A rectangular lattice with L = 100 cites in ...

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Semi-discrete semi-linear parabolic spdes

Semi-discrete semi-linear parabolic spdes

... parabolic Anderson model [13]—also known as diffusion in random potential—which is (SHE) when the function σ is ...parabolic Anderson model, the kth moment Lyapunov exponent γ k (u) exists and ...

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Intermittency in a catalytic random medium

Intermittency in a catalytic random medium

... parabolic Anderson model for time-independent ran- dom fields ξ has been carried out by Gärtner and Molchanov [18–20], Gärtner and den Hollander [12], Gärtner and König [14], Gärtner, König and Molchanov ...

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Localized Magnetic Moments Interacting with Superconductors outside the Kondo Regime

Localized Magnetic Moments Interacting with Superconductors outside the Kondo Regime

... The Anderson model has been of utmost importance in the understanding of the presence of a magnetic impurity in metals. In this work we investigate the properties of a superconductor in the presence of the ...

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A Theoretical study of Van Hove Non-Fermi
Superconductors and Analysis of Critical
Temperature Degradation

A Theoretical study of Van Hove Non-Fermi Superconductors and Analysis of Critical Temperature Degradation

... the critical temperature with disorder is different from the temperature degradation of Abrikosov-Gorkov model. The present model is a non –Fermi liquid model where non-magnetic impurities are ...

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Label structured cell proliferation models

Label structured cell proliferation models

... This model in [2] is an extension of a model first proposed by Bocharov, et ...the model with inverse problem methodology to fit experimental ...

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AN INVESTIGATION INTO THE IMPACT OF CHANGE    MANAGEMENT ON THE WELLBEING OF HEALTHCARE WORKERS AT RUMAILAH HOSPITAL IN THE    STATE OF QATAR Anne-Marie Sharon Schutte – Lyth, Nishika Chetty    and Anis Mahomed Karodia

AN INVESTIGATION INTO THE IMPACT OF CHANGE MANAGEMENT ON THE WELLBEING OF HEALTHCARE WORKERS AT RUMAILAH HOSPITAL IN THE STATE OF QATAR Anne-Marie Sharon Schutte – Lyth, Nishika Chetty and Anis Mahomed Karodia

... Anderson & Anderson (2010) propose that in order to transform an organisation the change leader must be held accountable for diffusing information on change initiatives wi[r] ...

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Ferroelectric Phase Transition in Graphene with Anderson Interaction

Ferroelectric Phase Transition in Graphene with Anderson Interaction

... 1) The appearance of the electric field, which is per- pendicular to the external applied field, in impurity The 1. The appearance of the electric field, which is perpen- dicular to the external applied field, in ...

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Scaling dimensions of higher charge monopoles at deconfined critical points

Scaling dimensions of higher charge monopoles at deconfined critical points

... In the CDM, monopoles are simply defects in the dimer constraint, at which dimers overlap or a site is unoccupied, and which carry charge in an e ff ective gauge-theoretical de- scription [17, 18]. In the JQ ...

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