Investigation of the end‐to‐end distance distribution function for random and self‐avoiding walks in two and three dimensions

1991 ◽  
Vol 94 (5) ◽  
pp. 3936-3942 ◽  
Author(s):  
Marvin Bishop ◽  
J. H. R. Clarke
Keyword(s):  
Distribution Function ◽  
Distance Distribution ◽  
Three Dimensions ◽  
Distance Distribution Function ◽  
End Distance ◽  
End To End ◽  
Self Avoiding Walks

Analytical solution of the PELDOR inverse problem using the integral Mellin transform

2017 ◽  
Vol 19 (48) ◽  
pp. 32381-32388 ◽  
Author(s):  
Anna G. Matveeva ◽  
Vyacheslav M. Nekrasov ◽  
Alexander G. Maryasov
Keyword(s):  
Inverse Problem ◽  
Distribution Function ◽  
Analytical Solution ◽  
Short Distance ◽  
Mellin Transform ◽  
Distance Distribution ◽  
Distance Distribution Function ◽  
Distance Range ◽  
Model Free ◽  
Model Free Approach

The model-free approach used does not introduce systematic distortions in the computed distance distribution function between two spins and appears to result in noise grouping in the short distance range.

Self‐avoiding walks with span limitations. I. The mean square end‐to‐end distance

1980 ◽  
Vol 72 (4) ◽  
pp. 2702-2707 ◽  
Author(s):  
Ronnie Barr ◽  
Chava Brender ◽  
Melvin Lax
Keyword(s):  
Mean Square ◽  
End Distance ◽  
The Mean ◽  
End To End ◽  
Self Avoiding Walks

END-TO-END DISTANCE DISTRIBUTION OF FORCE STRETCHED CHAINS RECONSTRUCTION BY MAXIMUM-ENTROPY METHOD

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2365-2375
Author(s):  
LURU DAI ◽  
FEI LIU ◽  
ZHONG-CAN OU-YANG
Keyword(s):  
Secondary Structure ◽  
Maximum Entropy ◽  
Single Molecule ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Distance Distribution ◽  
Extension Force ◽  
End Distance ◽  
Force Curves ◽  
End To End

Using the maximum-entropy method, the end-to-end distance distribution of the force stretched chain is calculated from the moments of the distribution, which can be obtained from the extension-force curves recorded in single-molecule experiments. If one knows force expansion of the extension through the (n-1)th power of force, it is enough information to calculate the n moments of the distribution. The method is examined with force stretched chain models, Gaussian chain and excluded-volume chain on two-dimension lattice. The method reconstructs all distributions precisely. The method also is applied to force stretched complex chain molecules: the hairpin and secondary structure conformations. We find that the distributions of homogeneous chains of two conformations are very different: there are two independent peaks in hairpin distribution; while only one peak is observed in the distribution of secondary structure conformations. Our discussion also shows that the end-to-end distance distribution may discover more critical physical information than the simpler extension-force curves can give.

Influence of long-range interactions on the end-to-end distance distribution and cyclization probability of short chains

1991 ◽  
Vol 24 (18) ◽  
pp. 5167-5170 ◽  
Author(s):  
Ana M. Rubio ◽  
Juan J. Freire ◽  
Arturo Horta ◽  
Ines Fernandez de Pierola
Keyword(s):  
Long Range ◽  
Distance Distribution ◽  
Long Range Interactions ◽  
End Distance ◽  
End To End
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