Chemical thermodynamics for growing systems
We consider growing open chemical reaction systems (CRSs), in which autocatalytic chemical reactions are encapsulated in a finite volume and its size can change in conjunction with the reactions. The thermodynamics of growing CRSs is indispensable for understanding biological cells and designing pro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033191 |
| _version_ | 1797210628795924480 |
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| author | Yuki Sughiyama Atsushi Kamimura Dimitri Loutchko Tetsuya J. Kobayashi |
| author_facet | Yuki Sughiyama Atsushi Kamimura Dimitri Loutchko Tetsuya J. Kobayashi |
| author_sort | Yuki Sughiyama |
| collection | DOAJ |
| description | We consider growing open chemical reaction systems (CRSs), in which autocatalytic chemical reactions are encapsulated in a finite volume and its size can change in conjunction with the reactions. The thermodynamics of growing CRSs is indispensable for understanding biological cells and designing protocells by clarifying the physical conditions and costs for their growing states. In this paper, we establish a thermodynamic theory of growing CRSs by extending the Hessian geometric structure of nongrowing CRSs. The theory provides the environmental conditions to determine the fate of the growing CRSs; growth, shrinking, or equilibration. We also identify thermodynamic constraints: one to restrict the possible states of the growing CRSs and the other to further limit the region where a nonequilibrium steady growing state can exist. Moreover, we evaluate the entropy production rate in the steady growing state. The growing nonequilibrium state has its origin in the extensivity of thermodynamics, which is different from the conventional nonequilibrium states with constant volume. These results are derived from general thermodynamic considerations without assuming any specific thermodynamic potentials or reaction kinetics; i.e., they are obtained based solely on the second law of thermodynamics. |
| first_indexed | 2024-04-24T10:13:37Z |
| format | Article |
| id | doaj.art-246312e04ec444159273f67d053fb6f9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:13:37Z |
| publishDate | 2022-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-246312e04ec444159273f67d053fb6f92024-04-12T17:24:22ZengAmerican Physical SocietyPhysical Review Research2643-15642022-09-014303319110.1103/PhysRevResearch.4.033191Chemical thermodynamics for growing systemsYuki SughiyamaAtsushi KamimuraDimitri LoutchkoTetsuya J. KobayashiWe consider growing open chemical reaction systems (CRSs), in which autocatalytic chemical reactions are encapsulated in a finite volume and its size can change in conjunction with the reactions. The thermodynamics of growing CRSs is indispensable for understanding biological cells and designing protocells by clarifying the physical conditions and costs for their growing states. In this paper, we establish a thermodynamic theory of growing CRSs by extending the Hessian geometric structure of nongrowing CRSs. The theory provides the environmental conditions to determine the fate of the growing CRSs; growth, shrinking, or equilibration. We also identify thermodynamic constraints: one to restrict the possible states of the growing CRSs and the other to further limit the region where a nonequilibrium steady growing state can exist. Moreover, we evaluate the entropy production rate in the steady growing state. The growing nonequilibrium state has its origin in the extensivity of thermodynamics, which is different from the conventional nonequilibrium states with constant volume. These results are derived from general thermodynamic considerations without assuming any specific thermodynamic potentials or reaction kinetics; i.e., they are obtained based solely on the second law of thermodynamics.http://doi.org/10.1103/PhysRevResearch.4.033191 |
| spellingShingle | Yuki Sughiyama Atsushi Kamimura Dimitri Loutchko Tetsuya J. Kobayashi Chemical thermodynamics for growing systems Physical Review Research |
| title | Chemical thermodynamics for growing systems |
| title_full | Chemical thermodynamics for growing systems |
| title_fullStr | Chemical thermodynamics for growing systems |
| title_full_unstemmed | Chemical thermodynamics for growing systems |
| title_short | Chemical thermodynamics for growing systems |
| title_sort | chemical thermodynamics for growing systems |
| url | http://doi.org/10.1103/PhysRevResearch.4.033191 |
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