Wang, H. and Hartmann, C. and Schütte, Ch. (2013) Linear response theory and optimal control for a molecular system under nonequilibrium conditions. Molecular Physics, 111 . pp. 35553564. ISSN 00268976

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Official URL: http://dx.doi.org/10.1080/00268976.2013.844370
Abstract
In this paper, we propose a straightforward generalization of linear response theory to systems in nonequilibrium that are subject to nonequilibrium driving. We briefly revisit the standard linear response result for equilibrium systems, where we consider Langevin dynamics as a special case, and then give an alternative derivation using a changeofmeasure argument that does not rely on any stationarity or reversibility assumption. This procedure moreover easily enables us to calculate the second order correction to the linear response formula (which may or may not be useful in practice). Furthermore, we outline how the novel nonequilibirum linear response formula can be used to compute optimal controls of molecular systems for cases in which one wants to steer the system to maximize a certain target expectation value. We illustrate our approach with simple numerical examples.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics Other Institutes > Matheon > A  Life Sciences Department of Mathematics and Computer Science > Institute of Mathematics > Cellular Mechanics Group Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group 
ID Code:  1297 
Deposited By:  Carsten Hartmann 
Deposited On:  01 Jul 2013 13:05 
Last Modified:  03 Mar 2017 14:41 
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