Time Evolution of Pure Quantum State and Emergence of A Nearly Thermal State [PDF]
Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by a constant number of produced particles, independent of other details of transient behavior at intermediate times.
arxiv
Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan+3 more
wiley +1 more source
Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure [PDF]
In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal with the resonant case in which
Marcone C. Pereira, P. Silva, Ricardo
core
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad+1 more
wiley +1 more source
Picking Operations in Warehouses With Dynamically Arriving Orders: How Good is Reoptimization?
ABSTRACT E‐commerce operations are essentially online, with customer orders arriving dynamically. However, very little is known about the performance of online policies for warehousing with respect to optimality, particularly for order picking and batching operations, which constitute a substantial portion of the total operating costs in warehouses. We
Catherine Lorenz+2 more
wiley +1 more source
Sharp thresholds between finite spread and uniform convergence for a reaction-diffusion equation with oscillating initial data [PDF]
We investigate the large-time dynamics of solutions of multi-dimensional reaction-diffusion equations with ignition type nonlinearities. We consider solutions which are in some sense locally persistent at large time and initial data which asymptotically oscillate around the ignition threshold. We show that, as time goes to infinity, any solution either
arxiv
Quantifying Molecular Properties of Hexagonal Water Clusters
Standard quantum chemical calculations on large hexagonal water clusters allow us to analyze the fundamental properties of ice‐Ih. Computed geometrical structure, energies, and vibrational spectra are astonishingly close to experimental data without the introduction of any external empirical parameters.
Giuseppe Lanza
wiley +1 more source
Direct ink writing of piezoresistive isoprene rubber nanocomposites
Use of carbon nanoparticles as conductive fillers in an isoprene rubber matrix for piezoresistive sensors fabricated via direct ink writing. Abstract Despite the growing interest in flexible electronics and wearable sensors, research in piezoresistive polymer nanocomposites has stagnated in consideration of the polymer matrices, particularly in ...
James D. Banks, Anahita Emami
wiley +1 more source
On the Asymptotic Behavior of Solutions of a Damped Oscillator under a Sublinear Friction Term
We show that there are two curves of initial data (xo, vo) for which the solutions x(t) of the corresponding Cauchy problem associated to the equation xtt + |xí|a_1 xt + x — 0, where a G (0,1), vanish after a finite time. By using asymptotic and methods and comparison arguments we show that for many other initial data the solutions decay to 0, in an ...
Díaz, J.I., Liñán Martínez, Amable
openaire +2 more sources
Disease Progression Mathematical Modeling With a Case Study on Hepatitis B Virus Infection
ABSTRACT Chronic Hepatitis B presents a significant health and socioeconomic burden. The risk of hepatocellular carcinoma remains elevated although treatments are available. Achieving an optimal treatment regimen necessitates a deep comprehension of the dynamic relationship between the virus and its host across disease states.
Clémence Boivin‐Champeaux+6 more
wiley +1 more source