PMID: 11308887Apr 20, 2001Paper

Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hong Qian

Abstract

Using a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, Sigma(k)p(k) ln(p(k)/p(*)(k)), has a natural role in the energetics of equilibrium and nonequilibrium conformational fluctuations of the single molecule. It is identified as the free energy difference associated with a fluctuating density in equilibrium, and is associated with the distribution deviate from the equilibrium in nonequilibrium relaxation. This result can be generalized to any other isothermal macromolecular system using the mathematical theories of large deviations and Markov processes, and at the same time provides the well-known mathematical results with interesting physical interpretations.

References

Jan 6, 1999·Proceedings of the National Academy of Sciences of the United States of America·H P ChouS Quake
Dec 5, 2000·Journal of Mathematical Biology·H Qian
Aug 17, 1951·Science·J Rothstein

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Citations

Oct 25, 2006·Annual Review of Physical Chemistry·Hong Qian
Feb 1, 2008·BMC Structural Biology·Dengming MingMichael E Wall
Jan 16, 2009·PloS One·Kresten Lindorff-Larsen, Jesper Ferkinghoff-Borg
Feb 24, 2016·The Journal of Physical Chemistry. B·Mazen AhmadThomas Lengauer
Mar 4, 2006·Journal of Molecular Biology·Dengming Ming, Michael E Wall
Oct 28, 2015·PLoS Computational Biology·Matteo TibertiKresten Lindorff-Larsen
Jan 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong Qian
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong Qian
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Qian
Sep 24, 2004·Physiological Measurement·J W SleighG Ludbrook
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christopher Jarzynski
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gavin E Crooks
Mar 15, 2020·Physical Review. E·Ying-Jen Yang, Hong Qian
Jan 9, 2017·The Journal of Chemical Physics·Mazen AhmadThomas Lengauer
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H T Quan
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Moisés Santillán, Hong Qian
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong Qian
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hao Ge, Hong Qian
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hao Ge
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hao Ge, Hong Qian
Jul 8, 2021·The Journal of Physical Chemistry Letters·Waldemar KaiserAlessio Gagliardi
Jul 23, 2021·Journal of Chemical Theory and Computation·Felix KümmererKresten Lindorff-Larsen
Jan 15, 2013·Journal of Chemical Theory and Computation·Christopher L McClendonMatthew P Jacobson
May 17, 2013·The Journal of Physical Chemistry. B·Joseph B HubbardMichael Halter
Nov 18, 2015·Journal of Chemical Theory and Computation·Mazen AhmadOlga V Kalinina
Jul 21, 2006·The Journal of Physical Chemistry. B·D RegueraJ M G Vilar
May 5, 2006·The Journal of Physical Chemistry. B·Alan GrossfieldMichael C Pitman
Oct 11, 2021·Biophysical Journal·Francesco Pesce, Kresten Lindorff-Larsen

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