scholarly journals Nonequilibrium transport with self-consistent renormalized contacts for a single-molecule nanodevice with electron-vibron interaction

2012 ◽  
Vol 86 (15) ◽  
Author(s):  
H. Ness ◽  
L. K. Dash
Keyword(s):  
Single Molecule ◽  
Nonequilibrium Transport ◽  
Self Consistent

scholarly journals Universal scaling of nonequilibrium transport in the Kondo regime of single molecule devices

2009 ◽  
Vol 79 (16) ◽  
Author(s):  
G. D. Scott ◽  
Z. K. Keane ◽  
J. W. Ciszek ◽  
J. M. Tour ◽  
D. Natelson
Keyword(s):  
Single Molecule ◽  
Nonequilibrium Transport ◽  
Universal Scaling

scholarly journals Bayesian Inference: The Comprehensive Approach to Analyzing Single-Molecule Experiments

2021 ◽  
Vol 50 (1) ◽  
Author(s):  
Colin D. Kinz-Thompson ◽  
Korak Kumar Ray ◽  
Ruben L. Gonzalez
Keyword(s):  
Probability Theory ◽  
Bayesian Inference ◽  
Single Molecule ◽  
Biophysical Model ◽  
Annual Review ◽  
Publication Date ◽  
Structural Details ◽  
Self Consistent ◽  
Insight Into ◽  
Data Analysis Methods

Biophysics experiments performed at single-molecule resolution provide exceptional insight into the structural details and dynamic behavior of biological systems. However, extracting this information from the corresponding experimental data unequivocally requires applying a biophysical model. In this review, we discuss how to use probability theory to apply these models to single-molecule data. Many current single-molecule data analysis methods apply parts of probability theory, sometimes unknowingly, and thus miss out on the full set of benefits provided by this self-consistent framework. The full application of probability theory involves a process called Bayesian inference that fully accounts for the uncertainties inherent to single-molecule experiments. Additionally, using Bayesian inference provides a scientifically rigorous method of incorporating information from multiple experiments into a single analysis and finding the best biophysical model for an experiment without the risk of overfitting the data. These benefits make the Bayesian approach ideal for analyzing any type of single-molecule experiment. Expected final online publication date for the Annual Review of Biophysics, Volume 50 is May 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

Bayesian inference: The comprehensive approach to analyzing single-molecule experiments

2020 ◽  
Author(s):  
Colin D. Kinz-Thompson ◽  
Korak Kumar Ray ◽  
Ruben L. Gonzalez
Keyword(s):  
Experimental Data ◽  
Probability Theory ◽  
Bayesian Inference ◽  
Single Molecule ◽  
Biophysical Model ◽  
Structural Details ◽  
Self Consistent ◽  
Insight Into ◽  
The Bayesian Approach ◽  
Data Analysis Methods

ABSTRACTBiophysics experiments performed at single-molecule resolution contain exceptional insight into the structural details and dynamic behavior of biological systems. However, extracting this information from the corresponding experimental data unequivocally requires applying a biophysical model. Here, we discuss how to use probability theory to apply these models to single-molecule data. Many current single-molecule data analysis methods apply parts of probability theory, sometimes unknowingly, and thus miss out on the full set of benefits provided by this self-consistent framework. The full application of probability theory involves a process called Bayesian inference that fully accounts for the uncertainties inherent to single-molecule experiments. Additionally, using Bayesian inference provides a scientifically rigorous manner to incorporate information from multiple experiments into a single analysis and to find the best biophysical model for an experiment without the risk of overfitting the data. These benefits make the Bayesian approach ideal for analyzing any type of single-molecule experiment.

AN ELLIPSOIDAL MOLECULES MODEL OF LIQUID CRYSTAL WITH QUADRUPOLAR INTERACTION: SELF-CONSISTENT FREE ENERGY

1990 ◽  
Vol 04 (09) ◽  
pp. 1589-1609
Author(s):  
M.G. RASETTI ◽  
M.L. RASTELLO
Keyword(s):  
Single Molecule ◽  
Short Range ◽  
Lattice Gas ◽  
Mean Field ◽  
Second Order ◽  
Classical Lattice ◽  
Field Approach ◽  
Self Consistent ◽  
Short Range Correlations ◽  
Second Order Phase Transition

We study the structure of the phase space for a system of N molecules of ellipsoidal symmetry, as a function of concentration and temperature. A classical lattice gas approximation is considered and a single molecule is described by a rigid ellipsoidal core with weak attractive tails along the long axis. The method adopted is a second-order mean-field approach – designed in such a way as to keep into account the fluctuations from equilibrium of the order parameters up to the fourth order – combined with a cumulant-cluster expansion, and improved by keeping track of the short-range correlations. Preliminary numerical calculations show the existence, in the case of zero attractive tail, of a second order phase transition.

The evolution of the Kuiper belt during the formation of the outer planets

1999 ◽  
Vol 173 ◽  
pp. 37-44
Author(s):  
M.D. Melita ◽  
A. Brunini
Keyword(s):  
Kuiper Belt ◽  
Outer Planets ◽  
Self Consistent ◽  
Planetary Bodies ◽  
Mass Depletion

AbstractA self-consistent study of the formation of planetary bodies beyond the orbit of Saturn and the evolution of Kuiper disks is carried out by means of an N-body code where accretion and gravitational encounters are considered. This investigation is focused on the aggregation of massive bodies in the outer planetary region and on the consequences of such process in the corresponding cometary belt. We study the link between the bombardment of massive bodies and mass depletion and eccentricity excitation.

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