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Ban T, Ishii H, Onizuka A, Chatterjee A, Suzuki RX, Nagatsu Y, Mishra M. Momentum transport of morphological instability in fluid displacement with changes in viscosity. Phys Chem Chem Phys 2024; 26:5633-5639. [PMID: 38288549 DOI: 10.1039/d3cp03402j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2024]
Abstract
Saffman-Taylor instability exhibits a stepwise unstable morphology from a stable interface to viscous fingering, eventually leading to tip splitting. The nonlinear dynamics of the destabilized interface depends on various flow properties. However, the physicochemical mechanism that determines the transition point of the flow state is unclear. We studied the interfacial instability transition in miscible displacement from a thermodynamic perspective by calculating the momentum transport and entropy production. Using numerical analysis based on Darcy's law coupled with the convection-diffusion equation, the observed flux-dependent flow state transitions were attributed to the selection of the flow state with a higher entropy production.
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Affiliation(s)
- Takahiko Ban
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka City, Osaka 560-8531, Japan.
| | - Hibiki Ishii
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka City, Osaka 560-8531, Japan.
| | - Atsushi Onizuka
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka City, Osaka 560-8531, Japan.
| | - Atanu Chatterjee
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Ryuta X Suzuki
- Department of Chemical Engineering, Tokyo University of Agriculture and Technology, Naka-cho 2-24-16, Koganei, Tokyo 184-8588, Japan
- PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan
| | - Yuichiro Nagatsu
- Department of Chemical Engineering, Tokyo University of Agriculture and Technology, Naka-cho 2-24-16, Koganei, Tokyo 184-8588, Japan
| | - Manoranjan Mishra
- Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, India
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Vallino JJ, Tsakalakis I. Phytoplankton Temporal Strategies Increase Entropy Production in a Marine Food Web Model. ENTROPY 2020; 22:e22111249. [PMID: 33287017 PMCID: PMC7712749 DOI: 10.3390/e22111249] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/03/2020] [Revised: 10/11/2020] [Accepted: 10/30/2020] [Indexed: 01/01/2023]
Abstract
We develop a trait-based model founded on the hypothesis that biological systems evolve and organize to maximize entropy production by dissipating chemical and electromagnetic free energy over longer time scales than abiotic processes by implementing temporal strategies. A marine food web consisting of phytoplankton, bacteria, and consumer functional groups is used to explore how temporal strategies, or the lack thereof, change entropy production in a shallow pond that receives a continuous flow of reduced organic carbon plus inorganic nitrogen and illumination from solar radiation with diel and seasonal dynamics. Results show that a temporal strategy that employs an explicit circadian clock produces more entropy than a passive strategy that uses internal carbon storage or a balanced growth strategy that requires phytoplankton to grow with fixed stoichiometry. When the community is forced to operate at high specific growth rates near 2 d−1, the optimization-guided model selects for phytoplankton ecotypes that exhibit complementary for winter versus summer environmental conditions to increase entropy production. We also present a new type of trait-based modeling where trait values are determined by maximizing entropy production rather than by random selection.
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Affiliation(s)
- Joseph J. Vallino
- Marine Biological Laboratory, Woods Hole, MA 02543, USA;
- Correspondence:
| | - Ioannis Tsakalakis
- Marine Biological Laboratory, Woods Hole, MA 02543, USA;
- Department of Earth, Atmosphere and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Zhernokleev GA, Martyushev LM. Nonlinear Non-Equilibrium Thermodynamics Based on the Ehrenfest-Klein Model. ENTROPY (BASEL, SWITZERLAND) 2020; 22:e22030293. [PMID: 33286067 PMCID: PMC7516749 DOI: 10.3390/e22030293] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/12/2020] [Revised: 02/24/2020] [Accepted: 02/27/2020] [Indexed: 06/12/2023]
Abstract
Nonlinear non-equilibrium thermodynamic relations have been constructed based on the generalized Ehrenfest-Klein model. Using these relations, the behavior of the entropy and its production in time at arbitrary deviations from equilibrium has been studied. It has been shown that the transient fluctuation theorem is valid for this model if a dissipation functional is treated as the thermodynamic entropy production.
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Affiliation(s)
- Gleb A. Zhernokleev
- Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia;
| | - Leonid M. Martyushev
- Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia;
- Institute of Industrial Ecology, Russian Academy of Sciences, 20 S. Kovalevskaya St., 620219 Ekaterinburg, Russia
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Ban T, Shigeta K. Thermodynamic analysis of thermal convection based on entropy production. Sci Rep 2019; 9:10368. [PMID: 31316153 PMCID: PMC6637266 DOI: 10.1038/s41598-019-46921-2] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2018] [Accepted: 07/03/2019] [Indexed: 11/08/2022] Open
Abstract
Flow patterns have a tendency to break the symmetry of an initial state of a system and form another spatiotemporal pattern when the system is driven far from equilibrium by temperature difference. For an annular channel, the axially symmetric flow becomes unstable beyond a given temperature difference threshold imposed in the system, leading to rotational oscillating waves. Many researchers have investigated this transition via linear stability analysis using the fundamental conservation equations and the generic model amplitude equation, i.e., the complex Ginzburg-Landau equation. Here, we present a quantitative study conducted of the thermal convection transition using thermodynamic analysis based on the maximum entropy production principle. Our analysis results reveal that the fluid system under nonequilibrium maximizes the entropy production induced by the thermodynamic flux in a direction perpendicular to the temperature difference. Further, we show that the thermodynamic flux as well as the entropy production can uniquely specify the thermodynamic states of the entire fluid system and propose an entropy production selection rule that can be used to specify the thermodynamic state of a nonequilibrium system.
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Affiliation(s)
- Takahiko Ban
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka City, Osaka, 560-8531, Japan.
| | - Keigo Shigeta
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka City, Osaka, 560-8531, Japan
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Martyushev LM, Seleznev VD. Maximum entropy production: application to crystal growth and chemical kinetics. Curr Opin Chem Eng 2015. [DOI: 10.1016/j.coche.2014.10.003] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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