We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner by constructing appropriate open quantum system. focus on the steady states of such for both fermionic and bosonic systems. Surprisingly, key features spatial structures state cannot simply understood from Hamiltonian alone. Using 1D Hatano-Nelson model as a...

Motivated by an important application in the chemical and pharmaceutical industries, we consider non-stationary growth of a polydisperse ensemble crystals continuous crystallizer. The mathematical model includes effects crystal nucleation growth, fines dissolution, mass influx withdrawal product crystals. steady- unsteady-state solutions kinetic balance equations are analytically derived. stead...

This paper is concerned with the existence, uniqueness and asymptotic stability of traveling wave solutions in a delayed competitive system spatial diffusion. When interspecific competition strong, corresponding functional differential has two stable unstable steady states. Firstly, we establish existence bistable by theory monotone semiflows. With help squeezing technique based on comparison p...

industries in developing countries add new production lines producing altogether different waste stream. this newer waste invariably finds its way to existing anaerobic treatment system causing gradual/sudden change in feed substrates affecting its steady performances. this study investigates steady response of anaerobic reactors subjected to sudden change in feed substrate types, assesses its ...

In this work, we compare a parabolic equation with an elliptic equation both of which are used in modeling temperature profile of a powerlaw polymer flow in a semi-infinite straight pipe with circular cross section. We show that both models are well-posed and we derive exponential rates of convergence of the two solutions to the same steady state solution away from the entrance. We also show es...

A single-column model run under the weak temperature gradient 8 approximation, a parameterization of large-scale dynamics appro9 priate for the tropical atmosphere, is shown to have multiple stable 10 equilibria. Under conditions permitting persistent deep convection, 11 the model has a statistically steady state in which such convection 12 occurs, as well as an extremely dry state in which con...

Closed field line confinement systems can develop convective cells when the MHD interchange stability criterion is violated. Using a previously derived set of reduced equations [ V.P. Pastukhov and N.V. Chudin, Plasma Physics Reports 27, 907 (2001)] it is shown that a true steady state solution can exist. For an assumed large-scale vortex pattern the plasma pressure profile that is implied by t...

We report on (a) the effect of growth interruption on the growth profile evolution in growth on non-planar patterned mesa tops via substrate-encoded size-reducing epitaxy (SESRE) and (b) the optical behavior of isolated 3D-confined GaAs volumes as well as 3D-confined GaAs volumes coupled with 1D-confined quantum wells (QWs) fabricated by SESRE. Steady-state excitation and time-resolved cathodol...

A hyperbolic-parabolic "chemotaxis" system modelling aggregation of motile cells by production of a diffusible chemoattractant, is approximated by a scalar diffusion equation for the cell density, where the drift term is an explicit functional of the current density profile. We prove the unique existence and, using the Hopf-Cole transformation, the local stability of an equilibrium, i.e. a stea...

The pharmacokinetic-pharmacodynamic profile of a fixed 6-g daily continuous intravenous infusion of ceftazidime was assessed in 20 febrile neutropenic patients with acute myeloid leukemia. Mean steady-state ceftazidime concentrations averaging 40 mg/liter from day 2 on ensured maximized pharmacodynamic exposure (values close to four to five times the MIC breakpoint against Pseudomonas aeruginos...