On a variational formulation of the maximum energy dissipation principle for non-equilibrium chemical thermodynamics

Moroz, Adam

doi:10.1016/j.cplett.2008.04.050

Cited by 13 publications

(40 citation statements)

References 17 publications

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“…However, if timeaveraged entropy production is maximized (Moroz 2008), then allocating some CH 4 to methanotrophs and grazers increases entropy production over the integration interval. Unlike physical systems, biological systems have the capability to predict the future, where the information to do so is contained within the system metagenome.…”

Section: Theoretical Framework (A) Entropy Contextmentioning

confidence: 99%

Ecosystem biogeochemistry considered as a distributed metabolic network ordered by maximum entropy production

Vallino

2010

Phil. Trans. R. Soc. B

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We examine the application of the maximum entropy production principle for describing ecosystem biogeochemistry. Since ecosystems can be functionally stable despite changes in species composition, we use a distributed metabolic network for describing biogeochemistry, which synthesizes generic biological structures that catalyse reaction pathways, but is otherwise organism independent. Allocation of biological structure and regulation of biogeochemical reactions is determined via solution of an optimal control problem in which entropy production is maximized. However, because synthesis of biological structures cannot occur if entropy production is maximized instantaneously, we propose that information stored within the metagenome allows biological systems to maximize entropy production when averaged over time. This differs from abiotic systems that maximize entropy production at a point in space-time, which we refer to as the steepest descent pathway. It is the spatio-temporal averaging that allows biological systems to outperform abiotic processes in entropy production, at least in many situations. A simulation of a methanotrophic system is used to demonstrate the approach. We conclude with a brief discussion on the implications of viewing ecosystems as self-organizing molecular machines that function to maximize entropy production at the ecosystem level of organization.

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Section: Theoretical Framework (A) Entropy Contextmentioning

confidence: 99%

Ecosystem biogeochemistry considered as a distributed metabolic network ordered by maximum entropy production

Vallino

2010

Phil. Trans. R. Soc. B

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“…The technique to solve this problem is known as the Pontryagin maximum principle [13]. At the same time, as noticed in [11], from the cost-like perspective of optimal control, it is rather difficult to interpret the negative sign of the potential term in the Lagrangian Eq. (1) formulating the OC mechanical problem.…”

Section: Preliminariesmentioning

confidence: 99%

“…We can generalise the main points of results in [11,12] where the variational approach employing the MED principle for chemical thermodynamics was presented. In that outline, the classical mechanics was considered, where the control variables appeared as artificial variables in the equation u q = , and therefore the N-dimensional vector of generalized velocities q become formally the control variable u.…”

Section: Preliminariesmentioning

confidence: 99%

“…Formally, it corresponds to the open-end Lagrange problem. Taking it into account, we can write the minimisation functional following [11,12] …”

Section: Preliminariesmentioning

confidence: 99%

“…In this Letter we present a comparison between the variational description of macroscopic collective effects in physics (based on the Landau free energy), and the cooperative effects in chemical and biochemical kinetics. This comparison is based on our former phenomenological outline [11,12] employed optimal control and based on the maximum energy dissipation principle.…”

Section: Introductionmentioning

confidence: 99%

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Cooperative and collective effects in light of the maximum energy dissipation principle

Moroz¹

2010

Physics Letters A

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We compare the collective phenomena in physics and cooperative phenomena in biology/chemistry in terms of the variational description. The maximum energy dissipation employed and the cost-like functional was chosen according to an optimal control based formulation. Using this approach, the variational outline has been considered for non-equilibrium thermodynamic conditions. The differences between the application of the proposed approach to the description of cooperative phenomena in chemical/biochemical kinetics and the Landau free energy approach to collective phenomena in physics have been investigated.

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Short History of Non-equilibrium Thermodynamics

Haslach

2010

Maximum Dissipation Non-Equilibrium Thermodynamics and Its Geometric Structure

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On a variational formulation of the maximum energy dissipation principle for non-equilibrium chemical thermodynamics

Cited by 13 publications

References 17 publications

Ecosystem biogeochemistry considered as a distributed metabolic network ordered by maximum entropy production

Ecosystem biogeochemistry considered as a distributed metabolic network ordered by maximum entropy production

Cooperative and collective effects in light of the maximum energy dissipation principle

Short History of Non-equilibrium Thermodynamics

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