Entropy production as a universal functional of reaction rate: chemical networks close to steady states

2013 ◽  
Vol 52 (3) ◽  
pp. 820-832
Author(s):  
Kinshuk Banerjee ◽  
Kamal Bhattacharyya
Keyword(s):  
Entropy Production ◽  
Reaction Rate ◽  
Steady States

scholarly journals HOW SHOULD ONE DEFINE ENTROPY PRODUCTION FOR NONEQUILIBRIUM QUANTUM SPIN SYSTEMS?

2002 ◽  
Vol 14 (07n08) ◽  
pp. 701-707 ◽  
Author(s):  
DAVID RUELLE
Keyword(s):  
Entropy Production ◽  
Quantum Spin ◽  
Steady States ◽  
Spin Systems ◽  
Nonequilibrium Steady States ◽  
Quantum Spin Systems ◽  
Rigorous Results

This paper discusses entropy production in nonequilibrium steady states for infinite quantum spin systems. Rigorous results have been obtained recently in this area, but a physical discussion shows that some questions of principle remain to be clarified.

scholarly journals A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS

2013 ◽  
Vol 16 (02) ◽  
pp. 1350016 ◽  
Author(s):  
JORGE R. BOLAÑOS-SERVIN ◽  
ROBERTO QUEZADA
Keyword(s):  
Entropy Production ◽  
Production Rate ◽  
Detailed Balance ◽  
Steady States ◽  
Quantum Entropy ◽  
Entropy Production Rate ◽  
Markov Semigroups ◽  
Cycle Decomposition ◽  
Definition Of ◽  
Insight Into

We propose a definition of cycle representation for Quantum Markov Semigroups (QMS) and of Quantum Entropy Production Rate (QEPR) in terms of the ρ-adjoint. We introduce the class of circulant QMS, which admit non-equilibrium steady states but exhibit symmetries that allow us to compute explicitly the QEPR, gain a deeper insight into the notion of cycle decomposition and prove that quantum detailed balance holds if and only if the QEPR equals zero.

scholarly journals Multiple Steady States in the Photocatalytic Reactor for Colored Compounds Degradation

Molecules ◽  
2021 ◽  
Vol 26 (13) ◽  
pp. 3804
Author(s):  
Jakub Szyman
Keyword(s):  
Limit Point ◽  
Light Absorption ◽  
Reaction Rate ◽  
Fixed Bed ◽  
Steady States ◽  
Multiple Steady States ◽  
Photocatalytic Reactor ◽  
Inlet Stream ◽  
Ideal Mixing ◽  
Photocatalytic Reactors

The paper reports the occurrence of multiple steady-state zones in most of the constructions of fixed-bed photocatalytic reactors. Such a phenomenon has not been ever observed in a field of photocatalytic reactors. The simulation has been provided for a common case in a photocatalysis—the degradation of colored compounds. The mathematical model of the photocatalytic reactor with immobilized bed has been stated by a simple ideal mixing model (analogous to the CSTR model). The solution has been continued by the two parameters—the Damköhler number and the absorption coefficient related to the inlet stream concentration. Some branches of steady states include the limit point. The performed two-parametric continuation of the limit point showed the cusp bifurcation point. Besides the numerical simulation, the physical explanation of the observed phenomenon has been provided; the multiple steady-states occurrence is controlled by light absorption–reaction rate junction. When the reaction rate is limited by the light absorption, we can say that a light barrier occurs. The dynamical simulations show that when the process is operated in a field of multiple steady states, the overall reactor efficiency is related to the reactor set-up mode.

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