Synthesis and Steady State Photophysical Property Analysis of Beads on a Chain (BoC) Silsesquioxane Oligomers Containing Arene and Heteroarene Cross-linkers

Silicon ◽  
2021 ◽  
Author(s):  
Shahrea Mahbub ◽  
Joseph C. Furgal
Keyword(s):  
Steady State ◽  
Photophysical Property ◽  
Property Analysis ◽  
A Chain

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

Absolute rate constants for hydrocarbon autoxidation. 33. A product study of the self-reaction of α-tetralylperoxyls in solution

1983 ◽  
Vol 61 (9) ◽  
pp. 2037-2043 ◽  
Author(s):  
A. Baignée ◽  
J. H. B. Chenier ◽  
J. A. Howard
Keyword(s):  
Steady State ◽  
Free Radical ◽  
Rate Constant ◽  
Rate Constants ◽  
The Self ◽  
Absolute Rate ◽  
Chain Reaction ◽  
Low Concentrations ◽  
A Chain ◽  
Product Study

The major initial products of the self-reaction of α-tetralylperoxyls (C10H11O2•) in chlorobenzene at 303–353 K are equal concentrations of α-tetralol and α-tetralone in ~90% yield based on the number of initiating radicals. These yields are consistent with the non-radical (Russell) mechanism for self-reaction. Low concentrations of bis(α-tetralyl) peroxide are produced, indicating that there is a small but detectable free-radical contribution towards termination. C10H11O2• undergoes β-scission in this temperature range but steady-state concentrations of C10H11• are too low to influence the termination rate constant 2kt, or react with C10H11O2• to give (C10H11O2. α-Tetralol to α-tetralone ratios and total yields of these products are significantly less than 1 and 100%, respectively, in methanol and acetonitrile. Formaldehyde is produced in methanol indicating the involvement of α-hydroxymethylperoxyls, derived from the solvent, in termination. There is no evidence for a chain reaction or a zwitterion intermediate for self-reaction of C10H11O2• in solution.

scholarly journals Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors

Nonlinearity ◽  
2015 ◽  
Vol 28 (7) ◽  
pp. 2397-2421 ◽  
Author(s):  
N Cuneo ◽  
J-P Eckmann ◽  
C Poquet
Keyword(s):  
Steady State ◽  
A Chain ◽  
Non Equilibrium

Steady-State Velocity of a Chain Falling from the Edge of a Table

2022 ◽  
Vol 60 (1) ◽  
pp. 40-42 ◽  
Author(s):  
Juan Rodriguez ◽  
Becky Tang ◽  
Marcos H. Martin ◽  
Adrin Irias ◽  
Amani Adel ◽  
...  
Keyword(s):  
Steady State ◽  
A Chain

Electrotonic properties of neurons: steady-state compartmental model

1978 ◽  
Vol 41 (3) ◽  
pp. 621-639 ◽  
Author(s):  
D. H. Perkel ◽  
B. Mulloney
Keyword(s):  
Differential Equation ◽  
Steady State ◽  
Attenuation Factor ◽  
Dendritic Structure ◽  
Mathematical Expression ◽  
Input Resistance ◽  
Membrane Resistance ◽  
Degree Of Approximation ◽  
Matrix Differential ◽  
A Chain

1. If a neuron is represented by a network of resistively coupled isopotential regions, the passive flow of current in its dendritic structure and soma is described by a matrix differential equation. The matrix elements are defined in terms of membrane resistances and capacitances and of coupling resistances between adjoining regions. 2. A uniform cylidrical dendrite can be represented by a chain of identical regions. In this case, a closed-form mathematical expression is derived for the voltage attenuation factor of the dendrite at steady state in terms of the ratio of membrane resistance to coupling resistance. A numerical method is given to determine the coupling resistances, which in turn yield a specified attenuation factor. Related expressions are given for a dendrite coupled to a soma. Formulas are also derived for the input resistance in these configurations. 3. For more complicated neuronal structures, matrix manipulations are described which yield values for input resistances in all regions, attenuation factors between all pairs of regions, and values of applied voltages necessary to attain specified steady-state potentials. 4. Dynamic solutions to the differential equation provide voltage transients (PSPs). Comparison of the shape paramenters of these transients with those of experimental or cable-theoretical PSPs establishes the number of regions necessary to achieve a given degree of approximation to the transients predicted by cable theory.

Relaxation Due to the Partial Swap Collisions with a Random Reservoir

2011 ◽  
Vol 18 (04) ◽  
pp. 353-362
Author(s):  
Giuseppe Gennaro
Keyword(s):  
Steady State ◽  
Multipartite Entanglement ◽  
Entanglement Dynamics ◽  
Relaxation To Equilibrium ◽  
Initial States ◽  
A Chain ◽  
Random State

We analyze the dynamics of the system consisting of a qubit sequentially interacting with a chain of qubits that are initially individually in a pure random state. Each pairwise collision has been modeled as a partial swap transformation. The relaxation to equilibrium of the purity of the system qubit, averaged over all the initial states of the environment, is analytically computed. In particular, we show that the steady state depends on the parameter η of the partial swap transformation. Finally, we investigate aspects of the entanglement dynamics for qubits and show that such process can create typical multipartite entanglement between the system qubit and the qubits of the chain.

A vortex theory of animal flight. Part 2. The forward flight of birds

1979 ◽  
Vol 91 (4) ◽  
pp. 731-763 ◽  
Author(s):  
J. M. V. Rayner
Keyword(s):  
Steady State ◽  
Lift Coefficient ◽  
Vortex Rings ◽  
Forward Flight ◽  
Induced Drag ◽  
Vortex Theory ◽  
Rate Of Increase ◽  
A Chain ◽  
Animal Flight ◽  
Wing Stroke

The vortex wake of a bird in steady forward flight is modelled by a chain of elliptical vortex rings, each generated by a single downstroke. The shape and inclination of each ring are determined by the downstroke geometry, and the size of each ring by the wing circulation; the momentum of the ring must overcome parasitic and profile drags and the bird's weight for the duration of a stroke period. From the equation of motion it is possible to determine exactly the kinematics of the wing-stroke for any flight velocity. This approach agrees more readily with the nature of the wing-stroke than the classical actuator disk and momentum-jet theory; it also dispenses with lift and induced drag coefficients and is not bound by the constraints of steady-state aerodynamics. The induced power is calculated as the mean rate of increase of wake kinetic energy. The remaining components of the flight power (parasite and profile) are calculated by traditional methods; there is some consideration of different representations of body parasite drag. The lift coefficient required for flight is also calculated; for virtually all birds the lift coefficient in slow flight and hovering is too large to be consistent with steady-state aerodynamics.A bird is concerned largely to reduce its power consumption on all but the shortest flights. The model suggests that there are a number of ways in which power reduction can be achieved. These various strategies are in good agreement with observation.

Nonsteady-state analysis of multisubstrate enzymic reactions

1970 ◽  
Vol 48 (7) ◽  
pp. 805-811
Author(s):  
R. O. Hurst
Keyword(s):  
Steady State ◽  
Rate Equation ◽  
State Equation ◽  
Velocity Function ◽  
Steady State Equation ◽  
Usual Form ◽  
Full Rate ◽  
Nonsteady State ◽  
A Chain ◽  
Derivatives Of

A method is outlined for deriving the full rate equation for an enzymic reaction by a chain differentiation procedure. The equation which is obtained by this method contains higher order derivatives of the velocity function. When these are equated to zero for the conditions descriptive of the steady state, the equation reverts to the usual form of the steady-state equation.

Sign in / Sign up

Export Citation Format

Share Document