New Time Reversal Parities and Optimal Control of Dielectrics for Free Energy Manipulation

2010 ◽  
Author(s):  
S. Glasgow ◽  
Chris Verhaaren ◽  
John Corson
2020 ◽  
Vol 9 (4) ◽  
Author(s):  
Rouven Frassek ◽  
Cristian Giardina ◽  
Jorge Kurchan

A large family of diffusive models of transport that have been considered in the past years admit a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent of dimension or topology. It provides a good opportunity to discuss questions of time reversal in out of equilibrium contexts. In particular, thanks to the mapping one may define the free energy in the non-equilibrium states very naturally as the (usual) free energy of the mapped system.


Author(s):  
Nicholas V. Sarlis

Natural time is a new time domain introduced in 2001. The analysis of time series associated with a complex system in natural time may provide useful information and may reveal properties that are usually hidden when studying the system in conventional time. In this new time domain, an entropy has been defined and complexity measures based on this entropy as well as its value under time-reversal have been introduced and found applications in various complex systems. Here, we review these applications in the electric signals that precede rupture, e.g., earthquakes, in the analysis of electrocardiograms, as well as in global atmospheric phenomena like the El Nino/La Nina Southern Oscillation.


Author(s):  
Habib Ammari ◽  
Elie Bretin ◽  
Josselin Garnier ◽  
Hyeonbae Kang ◽  
Hyundae Lee ◽  
...  

This chapter describes the use of time-reversal imaging techniques for optimal control of extended inclusions. It first considers the problem of reconstructing shape deformations of an extended elastic target before reconstructing the perturbations from boundary measurements of the displacement field. As for small-volume inclusions, direct imaging algorithms based on an asymptotic expansion for the perturbations in the data due to small shape deformations is introduced. The chapter also presents a concept equivalent to the polarization tensor for small-volume inclusions as well as the nonlinear optimization problem for reconstructing the shape of an extended inclusion from boundary displacement measurements. Finally, it develops iterative algorithms to address the nonlinearity of the problem.


2020 ◽  
Vol 43 ◽  
Author(s):  
Robert Mirski ◽  
Mark H. Bickhard ◽  
David Eck ◽  
Arkadiusz Gut

Abstract There are serious theoretical problems with the free-energy principle model, which are shown in the current article. We discuss the proposed model's inability to account for culturally emergent normativities, and point out the foundational issues that we claim this inability stems from.


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