scholarly journals Steady-state Fano coherences in a V-type system driven by polarized incoherent light

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Suyesh Koyu ◽  
Amro Dodin ◽  
Paul Brumer ◽  
Timur V. Tscherbul
Keyword(s):  
Steady State ◽  
Type System ◽  
Incoherent Light

Convergence in Lotka–Volterra-type delay systems without instantaneous feedbacks

1993 ◽  
Vol 123 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Yang Kuang ◽  
Hal L. Smith
Keyword(s):  
Steady State ◽  
Negative Feedback ◽  
Interspecific Interactions ◽  
Type System ◽  
Type Systems ◽  
Delayed Feedback ◽  
Delay Systems ◽  
Convergence Criteria ◽  
Volterra Type ◽  
Convergence Results

SynopsisMost of the convergence results appearing so far for delayed Lotka–Volterra-type systems require that undelayed negative feedback dominate both delayed feedback and interspecific interactions. Such a requirement is rarely met in real systems. In this paper we present convergence criteria for systems without instantaneous feedback. Roughly, our results suggest that in a Lotka–Volterra-type system if some of the delays are small, and initial functions are small and smooth, then the convergence of its positive steady state follows that of the undelayed system or the corresponding system whose instantaneous negative feedback dominates. In particular, we establish explicit expressions for allowable delay lengths for such convergence to sustain.

scholarly journals Ancient multiple-layer solutions to the Allen–Cahn equation

2017 ◽  
Vol 148 (6) ◽  
pp. 1165-1199 ◽  
Author(s):  
Manuel del Pino ◽  
Konstantinos T. Gkikas
Keyword(s):  
Steady State ◽  
Transition Layer ◽  
Type System ◽  
Transition Layers ◽  
One Dimensional ◽  
First Order ◽  
Cahn Equation ◽  
Multiple Layer ◽  
Image Position

We consider the parabolic one-dimensional Allen–Cahn equationThe steady state connects, as a ‘transition layer’, the stable phases –1 and +1. We construct a solution u with any given number k of transition layers between –1 and +1. Mainly they consist of k time-travelling copies of w, with each interface diverging as t → –∞. More precisely, we findwhere the functions ξj (t) satisfy a first-order Toda-type system. They are given byfor certain explicit constants γjk.

scholarly journals Fully differentiable optimization protocols for non-equilibrium steady states

2021 ◽  
Author(s):  
Rodrigo Vargas ◽  
Ricky T. Q. Chen ◽  
Kenneth A. Jung ◽  
Paul Brumer
Keyword(s):  
Energy Transfer ◽  
Steady State ◽  
Automatic Differentiation ◽  
Exact Algorithm ◽  
Steady State Solution ◽  
State Solution ◽  
Heat Current ◽  
Incoherent Light ◽  
Pumping Rate ◽  
Long Time

Abstract In the case of quantum systems interacting with multiple environments, the time-evolution of the reduced density matrix is described by the Liouvillian. For a variety of physical observables, the long-time limit or steady state solution is needed for the computation of desired physical observables. For inverse design or optimal control of such systems, the common approaches are based on brute-force search strategies. Here, we present a novel methodology, based on automatic differentiation, capable of differentiating the steady state solution with respect to any parameter of the Liouvillian. Our approach has a low memory cost, and is agnostic to the exact algorithm for computing the steady state. We illustrate the advantage of this method by inverse designing the parameters of a quantum heat transfer device that maximizes the heat current and the rectification coefficient. Additionally, we optimize the parameters of various Lindblad operators used in the simulation of energy transfer under natural incoherent light. We also present a sensitivity analysis of the steady state for energy transfer under natural incoherent light as a function of the incoherent- light pumping rate.

On steady-state solutions of the Brusselator-type system

2009 ◽  
Vol 71 (3-4) ◽  
pp. 1389-1394 ◽  
Author(s):  
Rui Peng ◽  
Ming Yang
Keyword(s):  
Steady State ◽  
Type System ◽  
Steady State Solutions

Studies on Water in the Hydration Chamber of a Modified Electron Microscope

1970 ◽  
Vol 28 ◽  
pp. 544-545
Author(s):  
R. C. Moretz ◽  
G. G. Hausner ◽  
D. F. Parsons
Keyword(s):  
Thin Film ◽  
Thin Films ◽  
Electron Microscope ◽  
Steady State ◽  
Room Temperature ◽  
Small Mass ◽  
Equilibrium Pressure ◽  
Biological Objects ◽  
Mechanical Pump ◽  
Differential Pumping

Use of the electron microscope to examine wet objects is possible due to the small mass thickness of the equilibrium pressure of water vapor at room temperature. Previous attempts to examine hydrated biological objects and water itself used a chamber consisting of two small apertures sealed by two thin films. Extensive work in our laboratory showed that such films have an 80% failure rate when wet. Using the principle of differential pumping of the microscope column, we can use open apertures in place of thin film windows.Fig. 1 shows the modified Siemens la specimen chamber with the connections to the water supply and the auxiliary pumping station. A mechanical pump is connected to the vapor supply via a 100μ aperture to maintain steady-state conditions.

Ultrastructural characteristics of sporidia of Ustilago

1989 ◽  
Vol 47 ◽  
pp. 786-787
Author(s):  
Patricia N. Hackney
Keyword(s):  
Electron Microscope ◽  
Type System ◽  
Tube Formation ◽  
High Voltage Electron Microscopy ◽  
Voltage Electron ◽  
University Of Wisconsin ◽  
Transmission Electron ◽  
Ustilago Hordei ◽  
Silene Alba ◽  
The University

Ustilago hordei and Ustilago violacea are yeast-like basidiomycete pathogens ofHordeum vulgare and Silene alba respectively. The mating type system in both species of Ustilago is bipolar, with alleles, A,a, (U.hordei) and a1, a2 (U.violacea) at a single locus. Haploid sporidia maintain the asexual phase by budding, while the sexual phase is initiated by conjugation tube formation between the mating types during budding and conjugation.For observation of budding, sporidia were prepared by culturing the four types on YEG (yeast extract glucose) broth for 24 hours. After centrifugation at 5000g cells were either left unmated or mated in a1/a2,A/a combinations. The sporidia were then mixed 1:1 with 4% agar and the resulting 1mm cubes fixed in 8% gluteraldehyde and post fixed in osmium tetroxide. After dehydration and embedding cubes were thin sectioned with a LKB ultratome and photographed in a Zeiss 9s transmission electron microscope or in an AE1 electron microscope of MK11 1MEV at the High Voltage Electron Microscopy Center of the University of Wisconsin-Madison.

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