Efficiency of one-dimensional active transport conditioned on motility

Transport in the One - Dimensional

We prove a dispersive estimate for the Schrödinger equation on the real line, mapping between weighted L spaces with stronger time-decay (|t|− 3 2 versus |t|− 1 2 ) than is possible on unweighted spaces. To satisfy this bound, the long-term behavior of solutions must include transport away from the origin. Our primary requirements are that 〈x〉V be integrable and −∆+V not have a resonance at zer...

one-dimensional pollutant transport model in natural rivers, with emphasis on the role of storage zones

rivers are one of the major resources of drinking and agriculture water, so accurate control and modeling of their water quality is essential for protection of human health and environment stability. transient storage zones have a great effect on contaminant transport, especially in small mountain streams. the main effects include temporary detainment of solute and decrease its concentration in...

Transport of One-Dimensional Correlated Electrons

One-dimensional Loss Networks and Conditioned M=g=1 Queues

We study one dimensional continuous loss networks with length distribution G and cable capacity C. We prove that the unique stationary distribution L of the network for which the restriction on the number of calls to be less than C is imposed only in the segment ?L; L] is the same as the distribution of a stationary M=G=1 queue conditioned to be less than C in the time interval ?L; L]. For dist...

Simulations of transport in one dimension

Advection-dispersion equation is solved in numerically by using combinations of differential quadrature method (DQM) and various time integration techniques covering some explicit or implicit single and multi step methods. Two different initial boundary value problems modeling conservative and nonconservative transports of some substance represented by initial data are chosen as test problems. ...