On the analysis of Liquid Crystal NMR dipolar coupling data via mixed a priori-maximum entropy methods

In statistical physics of dilute gases maximum entropy methods are widely used for theoretical predictions of macroscopic quantities in terms of microscopic quantities. In this study an analogous approach to the mechanics of quasi-static deformation of granular materials is proposed. The reasoning is presented that leads to the definition of an entropy that is appropriate to quasi-static deformation of granular materials. This entropy is formulated in terms of contact quantities, since contacts constitute the relevant microscopic level for granular materials that consist of semirigid particles. The proposed maximum entropy approach is then applied to two cases. The first case deals with the probability density functions of contact forces in a two-dimensional assembly with frictional contacts under prescribed hydrostatic stress. The second case deals with the elastic behaviour of two-dimensional assemblies of non-rotating particles with bonded contacts. For both cases the probability density functions of contact forces are determined from the proposed maximum entropy method, under the constraints appropriate to the case. These constraints form the macroscopic information available about the system. With the probability density functions for contact forces thus determined, theoretical predictions of macroscopic quantities can be made. These theoretical predictions are then compared with results obtained from two-dimensional Discrete Element simulations and from experiments.

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The validity of the rotational isomeric state model for short alkyl chains with large substituents: A maximum entropy analysis of the 1H dipolar couplings within the trimethylene group of a liquid crystal molecule

The Journal of Chemical Physics ◽

10.1063/1.468016 ◽

1994 ◽

Vol 101 (11) ◽

pp. 9246-9256 ◽

Cited By ~ 3

Author(s):

G. P. Drobny ◽

G. N. Shilstone ◽

D. Catalano ◽

C. A. Veracini ◽

H. Zimmermann

Keyword(s):

Liquid Crystal ◽

Maximum Entropy ◽

Isomeric State ◽

Dipolar Couplings ◽

Liquid Crystal Molecule ◽

State Model ◽

Entropy Analysis ◽

Alkyl Chains ◽

Rotational Isomeric State

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A Load Balancing Algorithm Based on Maximum Entropy Methods in Homogeneous Clusters

Entropy ◽

10.3390/e16115677 ◽

2014 ◽

Vol 16 (11) ◽

pp. 5677-5697 ◽

Cited By ~ 4

Author(s):

Long Chen ◽

Kehe Wu ◽

Yi Li

Keyword(s):

Load Balancing ◽

Maximum Entropy ◽

Entropy Methods ◽

Load Balancing Algorithm

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