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The Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally verified in various over-moded wave settings,…

Classical Physics · Physics 2019-03-11 Min Zhou , Edward Ott , Thomas M. Antonsen, , Steven M. Anlage

What is the complex impedance of a fully coherent quantum resistance-capacitance (RC) circuit at GHz frequencies in which a resistor and a capacitor are connected in series? While Kirchhoff's laws predict addition of capacitor and resistor…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Julien Gabelli , Gwendal Fève , Jean-Marc Berroir , Bernard Plaçais , A. Cavanna , Bernard Etienne , Yong Jin , Christian Glattli

We consider low energy charge transport in one-dimensional (1d) electron systems with short range interactions under the influence of a random potential. Combining RG and instanton methods, we calculate the nonlinear ac conductivity and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Thomas Nattermann

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

The Tribomechadynamics Research Challenge (TRC) was a blind prediction of the vibration behavior of a thin plate clamped on two sides using bolted joints. The first bending mode's natural frequency and damping ratio were requested as…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Arati Bhattu , Svenja Hermann , Nidhal Jamia , Florian Müller , Maren Scheel , Christoph Schwingshackl , H. Nevzat Özgüven , Malte Krack

We investigate the linear ac-conductance for tunneling through an arbitrary interacting quantum dot in the presence of a finite dc-bias. In analogy to the well-known Meir-Wingreen formula for the dc case, we are able to derive a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Björn Kubala , Florian Marquardt

We investigate electric current in a single-electron tunnelling device weakly coupled to an ac-driven underdamped harmonic nanomechanical oscillator. In the linear regime, the current can respond to the external frequency in a resonant as…

Mesoscale and Nanoscale Physics · Physics 2010-08-31 G. Labadze , Ya. M. Blanter

We experimentally and numerically examine stress-dependent electrical transport in granular materials to elucidate the origins of their universal dielectric response. The ac responses of granular systems under varied compressive loadings…

Disordered Systems and Neural Networks · Physics 2019-10-25 Chongpu Zhai , Dorian Hanaor , Gwénaëlle Proust , Yixiang Gan

We consider a two-dimensional random resistor network (RRN) in the presence of two competing biased percolations consisting of the breaking and recovering of elementary resistors. These two processes are driven by the joint effects of an…

Condensed Matter · Physics 2009-11-07 C. Pennetta , L. Reggiani , Gy. Trefán , E. Alfinito

Experimental results for a huge number of different materials published during the past fifty years confirm the validity of the Jonscher's Universal Dielectric Response Law. Accordingly,the ac conductivity is a fractional power of…

Disordered Systems and Neural Networks · Physics 2026-02-24 Anthony N. Papathanassiou , Elias Sakellis

An amazingly simple model of correlated disorder is a one-dimensional chain of n potential steps with a fixed width lc and random heights. A theoretical analysis of the average transmission coefficient and Landauer resistance as functions…

Disordered Systems and Neural Networks · Physics 2014-10-03 Marlos Díaz , Pier A. Mello , M. Yépez , Steven Tomsovic

We considered one-dimensional chain of the two-level quantum systems coupled via tunneling. The chain is driven by the superposition of dc and ac fields in the strong coupling regime. Based on the fundamental principles of electrodynamics…

Quantum Physics · Physics 2017-11-01 Ilay Levie , Rafael Kastner , Gregory Slepyan

We theoretically investigate time-dependent resonant tunneling via two discrete states in an experimentally relevant setup. Our results show that the dc transport through the system can be controled by applying irradiation with a frequency…

Condensed Matter · Physics 2009-10-28 T. H. Stoof , Yu. V. Nazarov

We introduce the Randomized Dependence Coefficient (RDC), a measure of non-linear dependence between random variables of arbitrary dimension based on the Hirschfeld-Gebelein-R\'enyi Maximum Correlation Coefficient. RDC is defined in terms…

Machine Learning · Statistics 2013-06-04 David Lopez-Paz , Philipp Hennig , Bernhard Schölkopf

In several experiments for measuring various classes of responses, performed at least some four decades ago, on driven physical systems in a far-from-equilibrium (or, from a steady-state) situation, early stage inverse-power-law relaxation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Somnath Bhattacharya , Partha Pratim Roy , Asok Kumar Sen

Recurrent neural networks (RNNs) such as long short-term memory and gated recurrent units are pivotal building blocks across a broad spectrum of sequence modeling problems. This paper proposes a recurrently controlled recurrent network…

Computation and Language · Computer Science 2018-11-27 Yi Tay , Luu Anh Tuan , Siu Cheung Hui

The AC conductivity response in a broad frequency range of disordered materials is of great interest not only for technological applications, but also from a theoretical point of view. The Jonscher power exponent value, and its temperature…

Materials Science · Physics 2019-05-08 Christos Tsonos

We study the interplay between structural and conductivity (composite) disorder and the collective electrical response in random networks models. Translating the problem of time-dependent electrical response (resonance and transient…

Disordered Systems and Neural Networks · Physics 2010-02-03 R. Huang , G. Korniss , S. K. Nayak

We review the first experiment on dynamic transport in a phase-coherent quantum conductor. In our discussion, we highlight the use of time-dependent transport as a means of gaining insight into charge relaxation on a mesoscopic scale. For…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Julien Gabelli , Gwendal Fève , Jean-Marc Berroir , Bernard Plaçais

We analyze a random resistor-inductor-capacitor $(RLC)$ lattice model of 2-dimensional metal-insulator composites. The results are compared with Bruggeman's and Landauer's Effective Medium Approximations where a discrepancy was observed for…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lotfi Zekri