Three-dimensional ordering in the system of weakly coupled chains

2005 ◽  
pp. 139-147
Author(s):  
L. Mihály ◽  
J. Sólyom
Keyword(s):  
Three Dimensional ◽  
Weakly Coupled

scholarly journals Prandtl Number in Classical Hard-Sphere and One-Component Plasma Fluids

Molecules ◽  
2021 ◽  
Vol 26 (4) ◽  
pp. 821
Author(s):  
Sergey Khrapak ◽  
Alexey Khrapak
Keyword(s):  
Prandtl Number ◽  
Hard Sphere ◽  
Solid Phase ◽  
Freezing Point ◽  
Three Dimensional ◽  
Order Unity ◽  
Strongly Coupled ◽  
Dielectric Fluids ◽  
Weakly Coupled ◽  
Component Plasma

The Prandtl number is evaluated for the three-dimensional hard-sphere and one-component plasma fluids, from the dilute weakly coupled regime up to a dense strongly coupled regime near the fluid-solid phase transition. In both cases, numerical values of order unity are obtained. The Prandtl number increases on approaching the freezing point, where it reaches a quasi-universal value for simple dielectric fluids of about ≃1.7. Relations to two-dimensional fluids are briefly discussed.

scholarly journals Three-dimensional ordering in weakly coupled antiferromagnetic ladders and chains

2000 ◽  
Vol 62 (1) ◽  
pp. 316-323 ◽  
Author(s):  
Stefan Wessel ◽  
Stephan Haas
Keyword(s):  
Three Dimensional ◽  
Weakly Coupled

The mechanical properties of kinesin-1: a holistic approach

2012 ◽  
Vol 40 (2) ◽  
pp. 438-443 ◽  
Author(s):  
George M. Jeppesen ◽  
J.K. Heinrich Hoerber
Keyword(s):  
Mechanical Properties ◽  
Atp Hydrolysis ◽  
Optical Trap ◽  
Three Dimensional ◽  
In Vitro Study ◽  
Holistic Approach ◽  
Weakly Coupled ◽  
Kinesin Molecule ◽  
Mechanochemical Cycle

During the last 25 years, a vast amount of research has gone into understanding the mechanochemical cycle of kinesin-1 and similar processive motor proteins. An experimental method that has been widely used to this effect is the in vitro study of kinesin-1 molecules moving along microtubules while pulling a bead, the position of which is monitored optically while trapped in a laser focus. Analysing results from such experiments, in which thermally excited water molecules are violently buffeting the system components, can be quite difficult. At low loads, the effect of the mechanical properties of the entire molecule must be taken into account, as stalk compliance means the bead position recorded is only weakly coupled to the movement of the motor domains, the sites of ATP hydrolysis and microtubule binding. In the present review, findings on the mechanical and functional properties of the various domains of full-length kinesin-1 molecules are summarized and a computer model is presented that uses this information to simulate the motion of a bead carried by a kinesin molecule along a microtubule, with and without a weak optical trap present. A video sequence made from individual steps of the simulation gives a three-dimensional visual insight into these types of experiment at the molecular level.

On the solution of the Landau equation

1979 ◽  
Vol 366 (1724) ◽  
pp. 47-61 ◽  
Keyword(s):  
Approximate Solution ◽  
Numerical Scheme ◽  
Landau Equation ◽  
Three Dimensional ◽  
Infinite Time ◽  
Solution Scheme ◽  
Weakly Coupled ◽  
Different Temperatures ◽  
Approximate Scheme

The Landau equation, which is a typical equation for weakly coupled gases, is examined. The derivation of the equation is discussed by means of a number of different approaches. It is found that for other than an infinite time application, the usual limits of integration are inappropriate. An approximate solution scheme is then proposed and applied to the solution of the relaxation of two homogeneous plasmas at different temperatures. The same problem is then analysed by using a conventional numerical scheme and the solutions compared. The approximate scheme was developed for both two and three dimensional systems.

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