Multiple Steady-State Solutions in a Multijunction Semiconductor Device

1991 ◽  
Vol 51 (1) ◽  
pp. 90-123 ◽  
Author(s):  
M. J. Ward ◽  
L. G. Reyna ◽  
F. M. Odeh
Keyword(s):  
Steady State ◽  
Semiconductor Device ◽  
Multiple Steady State ◽  
Steady State Solutions

Nonlinear Stability Considerations in Thermoelastic Contact

1999 ◽  
Vol 66 (1) ◽  
pp. 109-116 ◽  
Author(s):  
J. A. Pelesko
Keyword(s):  
Steady State ◽  
Perturbation Technique ◽  
Multiple Scale ◽  
Steady State Solution ◽  
Rigid Wall ◽  
Stable Steady State ◽  
Dynamic Information ◽  
Multiple Steady State ◽  
Singular Perturbation Technique ◽  
Steady State Solutions

The behavior of a one-dimensional thermoelastic rod is modeled and analyzed. The rod is held fixed and at constant temperature at one end, while at the other end it is free to separate from or make contact with a rigid wall. At this free end a pressure and gap-dependent thermal boundary condition is imposed which couples the thermal and elastic problems. Such systems have previously been shown to undergo a bifurcation from a unique linearly stable steady-state solution to multiple steady-state solutions with alternating stability. Here, the system is studied using a two-timing or multiple-scale singular perturbation technique. In this manner, the analysis is extended into the nonlinear regime and dynamic information about the history dependence and temporal evolution of the solution is obtained.

scholarly journals The response to a hot spot in a combustion problem

1981 ◽  
Vol 23 (1) ◽  
pp. 95-102 ◽  
Author(s):  
K. K. Tam ◽  
M. T. Kiang
Keyword(s):  
Steady State ◽  
Simple Model ◽  
Initial Value Problem ◽  
Initial Temperature ◽  
Hot Spot ◽  
Steady State Solution ◽  
Initial Value ◽  
Multiple Steady State ◽  
Steady State Solutions ◽  
Combustion Problem

AbstractA simple model for a problem in combustion theory has multiple steady state solutions when a parameter is in a certain range. This note deals with the initial value problem when the initial temperature takes the form of a hot spot. Estimates on the extent and temperature of the spot for the steady state solution to be super-critical are obtained.

Multiple steady-state solutions for horizontal buoyant flows in cold water

1986 ◽  
Vol 29 (11) ◽  
pp. 1655-1667 ◽  
Author(s):  
Ibrahim El-Henawy ◽  
Benjamin Gebhart ◽  
Nicholas D. Kazarinoff
Keyword(s):  
Steady State ◽  
Cold Water ◽  
Multiple Steady State ◽  
Buoyant Flows ◽  
Steady State Solutions

scholarly journals Bistabilities and domain walls in weakly open quantum systems

2020 ◽  
Vol 9 (4) ◽  
Author(s):  
Florian Lange ◽  
Achim Rosch
Keyword(s):  
Steady State ◽  
Conservation Laws ◽  
Weak Coupling ◽  
Domain Walls ◽  
Hydrodynamic Equation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Multiple Steady State ◽  
One Dimensional ◽  
Steady State Solutions

Weakly pumped systems with approximate conservation laws can be efficiently described by (generalized) Gibbs ensembles if the steady state of the system is unique. However, such a description can fail if there are multiple steady state solutions, for example, a bistability. In this case domains and domain walls may form. In one-dimensional (1D) systems any type of noise (thermal or non-thermal) will in general lead to a proliferation of such domains. We study this physics in a 1D spin chain with two approximate conservation laws, energy and the zz-component of the total magnetization. A bistability in the magnetization is induced by the coupling to suitably chosen Lindblad operators. We analyze the theory for a weak coupling strength \epsilonϵ to the non-equilibrium bath. In this limit, we argue that one can use hydrodynamic approximations which describe the system locally in terms of space- and time-dependent Lagrange parameters. Here noise terms enforce the creation of domains, where the typical width of a domain wall goes as \sim 1/\sqrt{\epsilon}∼1/ϵ while the density of domain walls is exponentially small in 1/\sqrt{\epsilon}1/ϵ. This is shown by numerical simulations of a simplified hydrodynamic equation in the presence of noise.

Sign in / Sign up

Export Citation Format

Share Document