Far-From-Equilibrium Dynamics of Chemical Systems

Author(s):  
J. Gorecki ◽  
A. S. Cukrowski ◽  
A. L. Kawczyński ◽  
B. Nowakowski
2021 ◽  
Vol 11 (4) ◽  
Author(s):  
Dominik Hahn ◽  
Paul A. McClarty ◽  
David J. Luitz

The fully frustrated ladder – a quasi-1D geometrically frustrated spin one half Heisenberg model – is non-integrable with local conserved quantities on rungs of the ladder, inducing the local fragmentation of the Hilbert space into sectors composed of singlets and triplets on rungs. We explore the far-from-equilibrium dynamics of this model through the entanglement entropy and out-of-time-ordered correlators (OTOC). The post-quench dynamics of the entanglement entropy is highly anomalous as it shows clear non-damped revivals that emerge from short connected chunks of triplets. We find that the maximum value of the entropy follows from a picture where coherences between different fragments co-exist with perfect thermalization within each fragment. This means that the eigenstate thermalization hypothesis holds within all sufficiently large Hilbert space fragments. The OTOC shows short distance oscillations arising from short coupled fragments, which become decoherent at longer distances, and a sub-ballistic spreading and long distance exponential decay stemming from an emergent length scale tied to fragmentation.


2017 ◽  
Vol 13 ◽  
pp. 665-674 ◽  
Author(s):  
Addy Pross ◽  
Robert Pascal

Thermodynamic stability, as expressed by the Second Law, generally constitutes the driving force for chemical assembly processes. Yet, somehow, within the living world most self-organisation processes appear to challenge this fundamental rule. Even though the Second Law remains an inescapable constraint, under energy-fuelled, far-from-equilibrium conditions, populations of chemical systems capable of exponential growth can manifest another kind of stability, dynamic kinetic stability (DKS). It is this stability kind based on time/persistence, rather than on free energy, that offers a basis for understanding the evolutionary process. Furthermore, a threshold distance from equilibrium, leading to irreversibility in the reproduction cycle, is needed to switch the directive for evolution from thermodynamic to DKS. The present report develops these lines of thought and argues against the validity of a thermodynamic approach in which the maximisation of the rate of energy dissipation/entropy production is considered to direct the evolutionary process. More generally, our analysis reaffirms the predominant role of kinetics in the self-organisation of life, which, in turn, allows an assessment of semi-quantitative constraints on systems and environments from which life could evolve.


2011 ◽  
Vol 102 (3) ◽  
pp. 469-488 ◽  
Author(s):  
M. Kronenwett ◽  
T. Gasenzer

1983 ◽  
Vol 70 (3) ◽  
pp. 144-146 ◽  
Author(s):  
D. Avnir ◽  
M. Kagan ◽  
A. Levi

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