We recommend studying nonequilibrium statistical mechanics to really thoroughly understand the experiments you can perform with the bipolar membrane devices. The best course I have found on this topic is by Prof. V. Balakrishnan on Youtube.

Here you can find numerous relevant references and related topics of study, including other systems besides the bipolar membrane device, if you wish to try replicating those results as well. Needless to say, research in this field is still quite active.

1. Bai, C., and A. S. Lavine. “On Hyperbolic Heat Conduction and the Second Law of Thermodynamics.” Journal of Heat Transfer 117, no. 2 (May 1, 1995): 256–63. https://doi.org/10.1115/1.2822514.
2. Bar, Amir. “Linear Response and Onsager Reciprocal Relations,” n.d.
   Barletta, A., and E. Zanchini. “Hyperbolic Heat Conduction and Local Equilibrium: A Second Law Analysis.” International Journal of Heat and Mass Transfer 40, no. 5 (March 1, 1997): 1007–16. https://doi.org/10.1016/0017-9310(96)00211-6.
   
3. Bright, T. J., and Z. M. Zhang. “Common Misperceptions of the Hyperbolic Heat Equation.” Journal of Thermophysics and Heat Transfer 23, no. 3 (2009): 601–7. https://doi.org/10.2514/1.39301.
4. “Brownian Ratchet.” In Wikipedia, September 26, 2022. https://en.wikipedia.org/w/index.php?title=Brownian_ratchet&oldid=1112473938#cite_note-forced-3.  
5. Callen, Herbert B., and Theodore A. Welton. “Irreversibility and Generalized Noise.” Physical Review 83, no. 1 (July 1, 1951): 34–40. https://doi.org/10.1103/PhysRev.83.34.  
6. Čápek, Vladislav, and Daniel P. Sheehan. Challenges to the Second Law of Thermodynamics: Theory and Experiment. Dordrecht: Springer Netherlands, 2005. https://doi.org/10.1007/1-4020-3016-9.  
7. Chemistry LibreTexts. “17.3: Brownian Ratchet,” January 17, 2021. https://chem.libretexts.org/Bookshelves/Biological_Chemistry/Concepts_in_Biophysical_Chemistry_(Tokmakoff)/04%3A_Transport/17%3A_Directed_and_Active_Transport/17.03%3A_Brownian_Ratchet.
8.   D’Abramo, Germano. “On the Exploitability of Thermo-Charged Capacitors.” Physica A: Statistical Mechanics and Its Applications 390, no. 3 (February 1, 2011): 482–91. https://doi.org/10.1016/j.physa.2010.10.031.
9. D’Abramo, Germano. “Thermo-Charged Capacitors and the Second Law of Thermodynamics.” Physics Letters A 374, no. 17 (April 12, 2010): 1801–5. https://doi.org/10.1016/j.physleta.2010.02.056.
10. Danageozian, Arshag, Mark M. Wilde, and Francesco Buscemi. “Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off.” PRX Quantum 3, no. 2 (April 26, 2022): 020318. https://doi.org/10.1103/PRXQuantum.3.020318.
11. Démoulin, Damien, Marie-France Carlier, Jérôme Bibette, and Jean Baudry. “Power Transduction of Actin Filaments Ratcheting in Vitro against a Load.” Proceedings of the National Academy of Sciences 111, no. 50 (December 16, 2014): 17845–50. https://doi.org/10.1073/pnas.1414184111.  
12. “Entropic Force.” In Wikipedia, September 7, 2023. https://en.wikipedia.org/w/index.php?title=Entropic_force&oldid=1174355238
13. .  Ethier, S. N., and Jiyeon Lee. “The Flashing Brownian Ratchet and Parrondo’s Paradox.” Royal Society Open Science 5, no. 1 (January 24, 2018): 171685. https://doi.org/10.1098/rsos.171685.  
14. Ghosh, Aritra, Malay Bandyopadhyay, Sushanta Dattagupta, and Shamik Gupta. “Quantum Brownian Motion: A Review.” arXiv, June 5, 2023. https://doi.org/10.48550/arXiv.2306.02665.
15. Higashi, Torahiko L, Georgii Pobegalov, Minzhe Tang, Maxim I Molodtsov, and Frank Uhlmann. “A Brownian Ratchet Model for DNA Loop Extrusion by the Cohesin Complex.” eLife 10 (n.d.): e67530. https://doi.org/10.7554/eLife.67530.  
16. Hoyuelos, Miguel. “Entropy of Continuous Markov Processes in Local Thermal Equilibrium.” Physical Review E 79, no. 5 (May 22, 2009): 051123. https://doi.org/10.1103/PhysRevE.79.051123.  
17. Hwang, Wonmuk, and Martin Karplus. “Structural Basis for Power Stroke vs. Brownian Ratchet Mechanisms of Motor Proteins.” Proceedings of the National Academy of Sciences 116, no. 40 (October 2019): 19777–85. https://doi.org/10.1073/pnas.1818589116
18. .  Iñiguez, José, and Douglas Az. “An Unusually Efficient Coupling of Carnot Engines” 17, no. 2 (2010). Kubo, R. “The Fluctuation-Dissipation Theorem,” n.d. Lee, James Weifu. “Type-B Energetic Processes and Their Associated Scientific Implications.” Journal of Scientific Exploration 36, no. 3 (January 1, 2022). https://doi.org/10.31275/20222517.  
19. ———. “Type-B Energy Process: Asymmetric Function-Gated Isothermal Electricity Production.” Energies 15, no. 19 (January 2022): 7020. https://doi.org/10.3390/en15197020
20. . Levy, George. “Loschmidtʹs Temperature Gradient Paradox – A Quantum Mechanical Resolution,” n.d. Levy, George S. “Loschmidt’s Paradox, Extended to CPT Symmetry, Bypasses Second Law.” Journal of Applied Mathematics and Physics 07, no. 12 (December 20, 2019): 3140. https://doi.org/10.4236/jamp.2019.712221. 
21. Mogilner, Alex, and George Oster. “Force Generation by Actin Polymerization II: The Elastic Ratchet and Tethered Filaments.” Biophysical Journal 84, no. 3 (March 2003): 1591–1605. https://doi.org/10.1016/S0006-3495(03)74969-8
22. . Monroe, Charles W, and John Newman. “An Introduction to the Onsager Reciprocal Relations.” Chemical Engineering Education 41, no. 4 (2007). Nordebo, Sven. “On the Interpretation and Significance of the Fluctuation-Dissipation Theorem in Infrared Spectroscopy.” arXiv, September 18, 2023. https://doi.org/10.48550/arXiv.2309.07837. 
23. Onsager, Lars. “Reciprocal Relations in Irreversible Processes. I.” Physical Review 37, no. 4 (February 15, 1931): 405–26. https://doi.org/10.1103/PhysRev.37.405. 
24. ———. “Reciprocal Relations in Irreversible Processes. I.” Physical Review 37, no. 4 (February 15, 1931): 405–26. https://doi.org/10.1103/PhysRev.37.405. 
25. Oster, George. “Brownian Ratchets: Darwin’s Motors.” Nature 417, no. 6884 (May 2002): 25–25. https://doi.org/10.1038/417025a. 
26. Peskin, C.S., G.M. Odell, and G.F. Oster. “Cellular Motions and Thermal Fluctuations: The Brownian Ratchet.” Biophysical Journal 65, no. 1 (July 1993): 316–24. https://doi.org/10.1016/S0006-3495(93)81035-X. 
27. Physics LibreTexts. “4.1: Introduction to Static and Quasistatic Fields,” May 11, 2020. https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/04%3A_Static_and_Quasistatic_Fields/4.01%3A_Introduction. 
28. Physics LibreTexts. “7.4: Fluctuation-Dissipation Theorem,” January 13, 2022. https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Essential_Graduate_Physics_-_Quantum_Mechanics_(Likharev)/07%3A_Open_Quantum_Systems/7.04%3A_Fluctuation-dissipation_Theorem
29. . Rubin, M. B. “Hyperbolic Heat Conduction and the Second Law.” International Journal of Engineering Science 30, no. 11 (November 1, 1992): 1665–76. https://doi.org/10.1016/0020-7225(92)90134-3. 
30. Sheehan, D. P. “A Self-Charging Concentration Cell: Theory.” Batteries 9, no. 7 (July 2023): 372. https://doi.org/10.3390/batteries9070372. 
31. Sheehan, D. P., D. J. Mallin, J. T. Garamella, and W. F. Sheehan. “Experimental Test of a Thermodynamic Paradox.” Foundations of Physics 44, no. 3 (March 1, 2014): 235–47. https://doi.org/10.1007/s10701-014-9781-5. 
32. Sheehan, D. P., and T. M. Welsh. “Epicatalytic Thermal Diode: Harvesting Ambient Thermal Energy.” Sustainable Energy Technologies and Assessments 31 (February 1, 2019): 355–68. https://doi.org/10.1016/j.seta.2018.11.007. 
33. Sheehan, Daniel. “Concentration Cell Powered by a Chemically Asymmetric Membrane: Theory.” SSRN Scholarly Paper. Rochester, NY, May 17, 2022. https://doi.org/10.2139/ssrn.4112190
34. . ———. “Maxwell Zombies: Mulling and Mauling the Second Law of Thermodynamics.” Journal of Scientific Exploration 34, no. 3 (September 15, 2020): 513–36. https://doi.org/10.31275/20201645. 
35. Sheehan, Daniel P. Epicatalytic thermal diode. United States US9212828B2, filed May 28, 2014, and issued December 15, 2015. https://patents.google.com/patent/US9212828B2/en. 
36. ———. “Maxwell Zombies: Conjuring the Thermodynamic Undead: Modern Descendants of Maxwell’s Celebrated Demon Defy Standard Thinking about Heat Engines and May Offer a Path to a New Kind of Energy Generation.” American Scientist 106, no. 4 (July 1, 2018): 23
37. 4–42. ———. “Supradegeneracy and the Second Law of Thermodynamics.” Journal of Non-Equilibrium Thermodynamics 45, no. 2 (April 1, 2020): 121–32. https://doi.org/10.1515/jnet-2019-0051. 
38. Takuma, Tadasu, and Takatoshi Shindo. “Fundamentals of Electrostatic and Quasi-Electrostatic Fields.” In Problems and Puzzles in Electric Fields, edited by Tadasu Takuma and Takatoshi Shindo, 109–15. Singapore: Springer, 2020. https://doi.org/10.1007/978-981-15-3297-9_5.
39. Gikunda, Millicent N., Ferdinand Harerimana, James M. Mangum, Sumaya Rahman, Joshua P. Thompson, Charles Thomas Harris, Hugh O. H. Churchill, and Paul M. Thibado. “Array of Graphene Variable Capacitors on 100 Mm Silicon Wafers for Vibration-Based Applications.” Membranes 12, no. 5 (May 2022): 533. https://doi.org/10.3390/membranes12050533.
40. Mangum, James M., Ferdinand Harerimana, Millicent N. Gikunda, and Paul M. Thibado. “Mechanisms of Spontaneous Curvature Inversion in Compressed Graphene Ripples for Energy Harvesting Applications via Molecular Dynamics Simulations.” Membranes 11, no. 7 (July 2021): 516. https://doi.org/10.3390/membranes11070516.