The quantum dynamics of a mesoscopic driven RLC circuit consisting of a linear inductor, a linear resistor and a nonlinear capacitor

2021 ◽  
Author(s):  
A. Zamani ◽  
H. Pahlavani
Keyword(s):  
Quantum Dynamics ◽  
Dynamical Behavior ◽  
Electric Circuit ◽  
External Source ◽  
Electrical Circuit ◽  
Persistent Current ◽  
Nonlinear Parameters ◽  
Quantum Dynamical ◽  
Rlc Circuit ◽  
Cubic Polynomial

The nonlinear capacitor that obeys of a cubic polynomial voltage–charge relation (usually a power series in charge) is introduced. The quantum theory for a mesoscopic electric circuit with charge discreteness is investigated, and the Hamiltonian of a quantum mesoscopic electrical circuit comprised by a linear inductor, a linear resistor and a nonlinear capacitor under the influence of a time-dependent external source is expressed. Using the numerical solution approaches, a good analytic approximate solution for the quantum cubic Duffing equation is found. Based on this, the persistent current is obtained antically. The energy spectrum of such nonlinear electrical circuit has been found. The dependency of the persistent current and spectral property equations to linear and nonlinear parameters is discussed by the numerical simulations method, and the quantum dynamical behavior of these parameters is studied.

THE PERSISTENT CURRENT ON A DRIVEN MESOSCOPIC RLC CIRCUIT

2011 ◽  
Vol 25 (23n24) ◽  
pp. 3225-3236 ◽  
Author(s):  
H. PAHLAVANI
Keyword(s):  
Quantum Dynamics ◽  
Electric Circuit ◽  
Persistent Current ◽  
Dissipative Term ◽  
Potential Source ◽  
Rlc Circuit ◽  
Lc Circuit ◽  
Heisenberg Equations ◽  
Continuous Range ◽  
Discrete Charge

The quantum theory for mesoscopic electric LC circuits with charge discreteness is briefly described. We take into account a resistance element (R) as an environment of the discrete-charge mesoscopic quantum LC circuit which is modeled by a Hamiltonian consisting of oscillators with continuous range of frequencies. Using a minimal coupling method, we investigate the quantum dynamics of this system. Hereby, the persistent current on a quantum damped L-design under the external potential source is obtained. Then, we write Heisenberg equations for a driven mesoscopic quantum RLC circuit with a dissipative term proportional to Ohmic damping and obtain persistent current on such a mesoscopic electric circuit.

The persistent current and energy spectrum on a driven mesoscopic LC-circuit with Josephson junction

2018 ◽  
Vol 32 (06) ◽  
pp. 1850066
Author(s):  
Hassan Pahlavani
Keyword(s):  
Energy Spectrum ◽  
Josephson Junction ◽  
Electric Circuit ◽  
External Source ◽  
Electrical Circuit ◽  
Persistent Current ◽  
Time Dependent ◽  
Coupling Energy ◽  
Junction Device ◽  
Lc Circuit

The quantum theory for a mesoscopic electric circuit including a Josephson junction with charge discreteness is studied. By considering coupling energy of the mesoscopic capacitor in Josephson junction device, a Hamiltonian describing the dynamics of a quantum mesoscopic electric LC-circuit with charge discreteness is introduced. We first calculate the persistent current on a quantum driven ring including Josephson junction. Then we obtain the persistent current and energy spectrum of a quantum mesoscopic electrical circuit which includes capacitor, inductor, time-dependent external source and Josephson junction.

DRIVEN MESOSCOPIC ELECTRIC CIRCUITS

2008 ◽  
Vol 22 (01) ◽  
pp. 51-60 ◽  
Author(s):  
F. KHEIRANDISH ◽  
H. PAHLAVANI
Keyword(s):  
Quantum Theory ◽  
Energy Spectrum ◽  
Algebraic Approach ◽  
Electric Circuit ◽  
External Source ◽  
Persistent Current ◽  
Time Dependent ◽  
Quantum Ring ◽  
Electric Circuits

The quantum theory for a mesoscopic electric circuit with charge discreteness is investigated. The persistent current on a quantum ring using an algebraic approach have been obtained. The energy spectrum and the persistent current of a quantum LC-design mesoscopic circuit, with a time-dependent external source, have been found.

scholarly journals Time-Domain Analysis of Fractional Electrical Circuit Containing Two Ladder Elements

Electronics ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 475
Author(s):  
Ewa Piotrowska ◽  
Krzysztof Rogowski
Keyword(s):  
Fractional Derivative ◽  
Fractional Derivatives ◽  
Electric Circuit ◽  
Theoretical Models ◽  
Time Domain Analysis ◽  
Electrical Circuit ◽  
State Variable ◽  
State Space System ◽  
Derivatives Of ◽  
Different Order

The paper is devoted to the theoretical and experimental analysis of an electric circuit consisting of two elements that are described by fractional derivatives of different orders. These elements are designed and performed as RC ladders with properly selected values of resistances and capacitances. Different orders of differentiation lead to the state-space system model, in which each state variable has a different order of fractional derivative. Solutions for such models are presented for three cases of derivative operators: Classical (first-order differentiation), Caputo definition, and Conformable Fractional Derivative (CFD). Using theoretical models, the step responses of the fractional electrical circuit were computed and compared with the measurements of a real electrical system.

scholarly journals The Homological Kähler-de Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Anastasios Mallios ◽  
Elias Zafiris
Keyword(s):  
Quantum Dynamics ◽  
Dynamical Behavior ◽  
Quantum Regime ◽  
Commutative Algebras ◽  
Differential Mechanism ◽  
De Rham ◽  
Physical Fields

The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum. This is of particular importance for the formulation of dynamics in the quantum regime, where the adherence to such a fixed substratum is problematic. In this context, we show that the functorial formulation of the Kähler-de Rham differential mechanism in categories of sheaves of commutative algebras, instantiating generalized localization environments of physical observables, induces a consistent functorial framework of dynamics in the quantum regime.

Quantum Dynamics of Exciton Transport and Dissociation in Multichromophoric Systems

2021 ◽  
Vol 72 (1) ◽  
pp. 591-616 ◽  
Author(s):  
Wjatscheslaw Popp ◽  
Dominik Brey ◽  
Robert Binder ◽  
Irene Burghardt
Keyword(s):  
Charge Transfer ◽  
Quantum Dynamics ◽  
Low Frequency ◽  
Functional Materials ◽  
Phonon Modes ◽  
Quantum Dynamical ◽  
Exciton Migration ◽  
Exciton Transport ◽  
Charge Transfer Excitons ◽  
Vibronic Couplings

Due to the subtle interplay of site-to-site electronic couplings, exciton delocalization, nonadiabatic effects, and vibronic couplings, quantum dynamical studies are needed to elucidate the details of ultrafast photoinduced energy and charge transfer events in organic multichromophoric systems. In this vein, we review an approach that combines first-principles parameterized lattice Hamiltonians with accurate quantum dynamical simulations using advanced multiconfigurational methods. Focusing on the elementary transfer steps in organic functional materials, we address coherent exciton migration and creation of charge transfer excitons in homopolymers, notably representative of the poly(3-hexylthiophene) material, as well as exciton dissociation at polymer:fullerene heterojunctions. We emphasize the role of coherent transfer, trapping effects due to high-frequency phonon modes, and thermal activation due to low-frequency soft modes that drive a diffusive dynamics.

scholarly journals Wicking in Paper Strips under Consideration of Liquid Absorption Capacity

Chemosensors ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 65
Author(s):  
Surasak Kasetsirikul ◽  
Muhammad J. A. Shiddiky ◽  
Nam-Trung Nguyen
Keyword(s):  
Capillary Rise ◽  
Theoretical Data ◽  
Electric Circuit ◽  
Microfluidic Devices ◽  
Absorption Capacity ◽  
Electrical Circuit ◽  
Paper Strip ◽  
Current Response ◽  
Material Characteristics ◽  
Liquid Absorption

Paper-based microfluidic devices have the potential of being a low-cost platform for diagnostic devices. Electrical circuit analogy (ECA) model has been used to model the wicking process in paper-based microfluidic devices. However, material characteristics such as absorption capacity cannot be included in the previous ECA models. This paper proposes a new model to describe the wicking process with liquid absorption in a paper strip. We observed that the fluid continues to flow in a paper strip, even after the fluid reservoir has been removed. This phenomenon is caused by the ability of the paper to store liquid in its matrix. The model presented in this paper is derived from the analogy to the current response of an electric circuit with a capacitance. All coefficients in the model are fitted with data of capillary rise experiments and compared with direct measurement of the absorption capacity. The theoretical data of the model agrees well with experimental data and the conventional Washburn model. Considering liquid absorption capacity as a capacitance helps to explain the relationship between material characteristics and the wicking mechanism.

scholarly journals Effect of Slit Channel Width of a Shim Embedded in Slot-Die Head on High-Density Stripe Coating for OLEDs

Coatings ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 772
Author(s):  
Dongkyun Shin ◽  
Jinyoung Lee ◽  
Jongwoon Park
Keyword(s):  
Electric Circuit ◽  
Electrical Circuit ◽  
High Density ◽  
Voltage Source ◽  
Light Emitting ◽  
Slot Die ◽  
Potential Applications ◽  
Circuit Analogy ◽  
Wide Slit ◽  
Fine Organic

With an attempt to achieve high-density fine organic stripes for potential applications in solution-processable organic light-emitting diodes (OLEDs), we have performed slot-die coatings using a shim with slit channels in various shapes (rectangular-shaped narrow, rectangular-shaped wide, and reversely tapered channels) in the presence of narrow µ-tips. Based on hydraulic-electric circuit analogy, we have analyzed the fluid dynamics of an aqueous poly (3,4-ethylenedioxythiophene): poly (4-styrenesulfonate) (PEDOT:PSS). It is observed that the coating speed can be increased and the stripe width can be reduced using a shim with rectangular-shaped wide slit channels. It is attributed that the hydraulic resistance is decreased and thus more fluid can reach a substrate through µ-tips. This behavior is consistent with the simulation result of the equivalent electrical circuit with a DC voltage source representing a pressure source. Using the shim with 150-µm-wide slit channels, we have successfully fabricated 200 PEDOT:PSS stripes within the effective coating width (150 mm) and 160 OLED stripes (34 stripes per inch) with the luminance of 325 cd/m2 at 5 V.

Ultrafast non-adiabatic dynamics of excited diphenylmethyl bromide elucidated by quantum dynamics and semi-classical on-the-fly dynamics

2018 ◽  
Vol 20 (35) ◽  
pp. 22753-22761
Author(s):  
Franziska Schüppel ◽  
Matthias K. Roos ◽  
Regina de Vivie-Riedle
Keyword(s):  
Quantum Dynamics ◽  
Reaction Dynamics ◽  
Quantum Dynamical ◽  
Adiabatic Dynamics

Quantum dynamical and semi-classical investigations explain the reaction dynamics and the experimentally observed wavepacket motion during ultrafast photodissociation of diphenylmethylbromide.

Linear invariants and the quantum dynamics of a nonstationary mesoscopic RLC circuit with a source

2014 ◽  
Vol 28 (27) ◽  
pp. 1450212 ◽  
Author(s):  
I. A. Pedrosa ◽  
J. L. Melo ◽  
E. Nogueira
Keyword(s):  
Quantum Dynamics ◽  
Power Source ◽  
Oscillation Circuit ◽  
Uncertainty Product ◽  
Rlc Circuit ◽  
External Power ◽  
Arbitrary Weight ◽  
Gaussian Packet ◽  
Mesoscopic Rlc Circuit ◽  
Linear Invariants

In this paper, we use Hermitian linear invariants and the Lewis and Riesenfeld invariant method to obtain the general solution of the Schrödinger equation for a mesoscopic RLC circuit with time-dependent resistance, inductance, capacitance and a power source and represent it in terms of an arbitrary weight function. In addition, we construct Gaussian wave packet solutions for this electromagnetic oscillation circuit and employ them to calculate the quantum fluctuations of the charge and the magnetic flux as well as the associated uncertainty product. We also show that the width of the Gaussian packet and the fluctuations do not depend on the external power.

Sign in / Sign up

Export Citation Format

Share Document