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| Main Authors: | , , , |
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| Format: | Preprint |
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2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2110.06454 |
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| _version_ | 1866929198524792832 |
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| author | Arias-Hernandez, L. A. Valencia-Ortega, G. Angulo-Brown, F. Martinez-Garcia, C. R. |
| author_facet | Arias-Hernandez, L. A. Valencia-Ortega, G. Angulo-Brown, F. Martinez-Garcia, C. R. |
| contents | One of the main issues that real energy converters present, when they produce effective work, is the inevitable entropy production. Within the context of Non-equilibrium Thermodynamics, entropy production tends to energetically degrade man-made or living systems. On the other hand, it is also not useful to think about designing an energy converter that works in the so-called minimum entropy production regime since the effective power output and efficiency are zero. In this manuscript, we establish some \textit{Energy Conversion Theorems} similar to Prigogine's one with constrained forces, their purpose is to reveal trade-offs between design and the so-called operation modes for $\left(2\times2\right)$--linear isothermal energy converters. The objective functions that give rise to those thermodynamic constraints show stability. A two--meshes electric circuit was built as an example to demonstrate the Theorems' validity. Likewise, we reveal a type of energetic hierarchy for power output, efficiency and dissipation function when the circuit is tuned to any of the operating regimes studied here: maximum power output ($MPO$), maximum efficient power ($MPη$), maximum omega function ($MΩ$), maximum ecological function ($MEF$), maximum efficiency ($Mη$) and minimum dissipation function ($mdf$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_06454 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Energy conversion theorems for some linear steady-states Arias-Hernandez, L. A. Valencia-Ortega, G. Angulo-Brown, F. Martinez-Garcia, C. R. Statistical Mechanics Applied Physics One of the main issues that real energy converters present, when they produce effective work, is the inevitable entropy production. Within the context of Non-equilibrium Thermodynamics, entropy production tends to energetically degrade man-made or living systems. On the other hand, it is also not useful to think about designing an energy converter that works in the so-called minimum entropy production regime since the effective power output and efficiency are zero. In this manuscript, we establish some \textit{Energy Conversion Theorems} similar to Prigogine's one with constrained forces, their purpose is to reveal trade-offs between design and the so-called operation modes for $\left(2\times2\right)$--linear isothermal energy converters. The objective functions that give rise to those thermodynamic constraints show stability. A two--meshes electric circuit was built as an example to demonstrate the Theorems' validity. Likewise, we reveal a type of energetic hierarchy for power output, efficiency and dissipation function when the circuit is tuned to any of the operating regimes studied here: maximum power output ($MPO$), maximum efficient power ($MPη$), maximum omega function ($MΩ$), maximum ecological function ($MEF$), maximum efficiency ($Mη$) and minimum dissipation function ($mdf$). |
| title | Energy conversion theorems for some linear steady-states |
| topic | Statistical Mechanics Applied Physics |
| url | https://arxiv.org/abs/2110.06454 |