One-dimensional model systems: Theoretical survey

Theoretical framework for quasi-one dimensional systems.

One dimensional prominence model

Based on reasonable assumptions and mathematical approximations a one dimensional, analytical model for solar quiescent prominences is constructed, which is in both magnetohydrostatic and thermal equilibrium. Thermal equilibrium here is a balance among thermal conduction, radiation and wave heating. The wave heating (H) is assumed to be equal to a constant (EH ) times the product of pressure (p...

An aggregation model reduction method for one-dimensional distributed systems

A method for deriving reduced dynamic models of one-dimensional distributed systems is presented. It inherits the concepts of the aggregated modeling method of Lévine and Rouchon originally derived for simple staged distillation models and can be applied to both spatially discrete and continuous systems. The method is based on partitioning the system into intervals of steady-state systems, whic...

On the Orientational Properties of Some One-Dimensional Model Systems

We use the transfer matrix formalism to examine the behavior of some anisotropic hard-core fluids, the centers of whose particles are constrained to a line. At large elongation and pressure, the compressibility factor 13p/p is higher than that for a system with complete aligment by a factor 1 + v that depends upon the molecular geometry. For molecules with a finite radius of curvature, e.g., el...

A one-dimensional model for theoretical analysis of single molecule experiments

In this paper we compare two polymer stretching experiments. The outcome of both experiments is a force-extension relation. We use a onedimensional model to show that in general the two quantities are not equal. In certain limits, however, both force-extension relations coincide.