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By offering a framework to analyze these systems as effectively at equilibrium, our approach provides powerful new tools that significantly expand the scope of the field. Just as the constant speed of light in Einstein\u2019s theory of special relativity necessitates a relative understanding of space and time, our fixed ratio of energy to temperature suggests a fundamental rescaling of both quantities that allows us to recognize shared patterns across diverse materials and situations.<\/jats:p>","DOI":"10.3390\/e28010099","type":"journal-article","created":{"date-parts":[[2026,1,14]],"date-time":"2026-01-14T09:03:10Z","timestamp":1768381390000},"page":"99","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Unveiling Scale-Dependent Statistical Physics: Connecting Finite-Size and Non-Equilibrium Systems for New Insights"],"prefix":"10.3390","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6932-9371","authenticated-orcid":false,"given":"Agust\u00edn","family":"P\u00e9rez-Madrid","sequence":"first","affiliation":[{"name":"Departament de F\u00edsica de la Mat\u00e8ria Condensada, Facultat de F\u00edsica, Universitat de Barcelona, Mart\u00ed i Franqu\u00e8s 1, 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iv\u00e1n","family":"Santamar\u00eda-Holek","sequence":"additional","affiliation":[{"name":"Unidad Multidisciplinar de Docencia e Investigaci\u00f3n-Facultad de Ciencias, Universidad Nacional Aut\u00f3noma de M\u00e9xico Campus Juriquilla, Quer\u00e9taro 76230, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"R181","DOI":"10.1088\/0305-4470\/36\/21\/201","article-title":"Violation of the fluctuation-dissipation theorem in glassy systems: Basic notions and the numerical evidence","volume":"36","author":"Crisanti","year":"2003","journal-title":"J. Phys. A Math. Gen."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/S0378-4371(03)00634-4","article-title":"Origin of the violation of the fluctuation-dissipation theorem in systems with activated dynamics","volume":"329","author":"Reguera","year":"2003","journal-title":"Phys. A Stat. Mech. Its Appl."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"7513","DOI":"10.1073\/pnas.1706702114","article-title":"Effective temperature concept evaluated in an active colloid mixture","volume":"114","author":"Han","year":"2017","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1209\/epl\/i2006-10386-y","article-title":"Violation of the fluctuation-dissipation theorem in confined driven colloids","volume":"76","author":"Mauri","year":"2006","journal-title":"Europhys. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"P03002","DOI":"10.1088\/1742-5468\/2007\/03\/P03002","article-title":"Fluctuations of non-conservative systems","volume":"2007","author":"Leporini","year":"2007","journal-title":"J. Stat. Mech."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"eabg6766","DOI":"10.1126\/sciadv.abg6766","article-title":"Unifying fluctuation-dissipation temperatures of slow-evolving nonequilibrium systems from the perspective of inherent structures","volume":"7","author":"Zhang","year":"2021","journal-title":"Sci. Adv."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"11081","DOI":"10.1073\/pnas.191360398","article-title":"Thermodynamics \u201cbeyond\u201d local equilibrium","volume":"98","author":"Vilar","year":"2001","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2818","DOI":"10.1063\/1.1640346","article-title":"Local quasi-equilibrium description of slow relaxation systems","volume":"120","year":"2004","journal-title":"J. Chem. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1140\/epjd\/s10053-021-00057-z","article-title":"Efects of quantum confinement on thermodynamic properties","volume":"75","author":"Filho","year":"2021","journal-title":"Eur. Phys. J. D"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"074314","DOI":"10.1063\/1.2356607","article-title":"Quantum confinement of the thermodynamic functions for the formation of electrons and holes in CdSe nanocrystals","volume":"100","author":"Ehlert","year":"2006","journal-title":"J. Appl. Phys."},{"key":"ref_11","first-page":"056001","article-title":"Quantum confinement theory of the heat capacity of thin films","volume":"8","author":"Zaccone","year":"2024","journal-title":"Phys. Rev. E"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"064139","DOI":"10.1103\/PhysRevE.109.064139","article-title":"Effective temperatures in nonequilibrium statistical physics","volume":"109","author":"Langer","year":"2024","journal-title":"Phys. Rev. E"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Lucia, U., and Grisolia, G. (2021). Nonequilibrium Temperature: An Approach from Irreversibility. Materials, 14.","DOI":"10.3390\/ma14082004"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1937","DOI":"10.1088\/0034-4885\/66\/11\/R03","article-title":"Temperature in non-equilibrium states: A review of open problems and current proposals","volume":"66","author":"Jou","year":"2003","journal-title":"Rep. Prog. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1038\/nphys3435","article-title":"Single-molecule measurement of the effective temperature in non-equilibrium steady states","volume":"11","author":"Dieterich","year":"2015","journal-title":"Nat. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"9401","DOI":"10.1073\/pnas.1610542113","article-title":"Activated kinetics in a nonequilibrium thermal bath","volume":"113","author":"Matyushov","year":"2016","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"214914","DOI":"10.1063\/1.1925271","article-title":"A model for nonexponential relaxation and aging in dissipative systems","volume":"122","year":"2005","journal-title":"J. Chem. Phys."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"9439","DOI":"10.1021\/jp204459b","article-title":"Mean-field \u201ctemperature\u201d in far from equilibrium systems","volume":"115","year":"2011","journal-title":"J. Phys. Chem. B"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"134905","DOI":"10.1063\/1.4964283","article-title":"Origin of the effective mobility in non-linear active micro-rheology","volume":"145","year":"2016","journal-title":"J. Chem. Phys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"244116","DOI":"10.1063\/5.0032634","article-title":"Eyring equation and fluctuation? Dissipation far away from equilibrium","volume":"153","year":"2020","journal-title":"J. Chem. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1088\/0034-4885\/29\/1\/306","article-title":"The fluctuation-dissipation theorem","volume":"29","author":"Kubo","year":"1966","journal-title":"Rep. Prog. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2331","DOI":"10.1063\/1.523242","article-title":"The generalized Langevin equation with Gaussian fluctuations","volume":"18","author":"Fox","year":"1977","journal-title":"J. Math. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5288","DOI":"10.1039\/D3SM00358B","article-title":"Adiabatic limit collapse and local interaction effects in non-linear active microrheology molecular simulations of two-dimensional fluids","volume":"19","year":"2023","journal-title":"Soft Matter."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"104506","DOI":"10.1063\/1.4930550","article-title":"Effective temperatures and the breakdown of the Stokes-Einstein relation for particle suspensions","volume":"143","author":"Mendoza","year":"2015","journal-title":"J. Chem. Phys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"244903","DOI":"10.1063\/1.3604813","article-title":"Rotational and translational self-diffusion in concentrated suspensions of permeable particles","volume":"134","author":"Abade","year":"2011","journal-title":"J. Chem. Phys."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2005","DOI":"10.1063\/1.1532349","article-title":"Stokes-Einstein relations and the fluctuation-dissipation theorem in a supercooled colloidal fluid","volume":"118","author":"Bonn","year":"2003","journal-title":"J. Chem. Phys."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"6073","DOI":"10.1103\/PhysRevE.58.6073","article-title":"Measurement of the self-intermediate scattering function of suspensions of hard spherical particles near the glass transition","volume":"58","author":"Mortensen","year":"1998","journal-title":"J. Phys. Rev. E"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0378-4371(94)00280-7","article-title":"On the theory of concentrated hard-sphere suspensions","volume":"216","author":"Tokuyama","year":"1995","journal-title":"Phys. A"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"8721","DOI":"10.1063\/1.480212","article-title":"Viscoelasticity and generalized Stokes-Einstein relations of colloidal dispersions","volume":"111","author":"Banchio","year":"1999","journal-title":"J. Phys. Chem."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1038\/320340a0","article-title":"Phase behaviour of concentrated suspensions of nearly hard colloidal spheres","volume":"320","author":"Pusey","year":"1986","journal-title":"Nature"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1038\/325232a0","article-title":"Study of particle motion in concentrated dispersions by tracer diffusion","volume":"325","author":"Orttewill","year":"1987","journal-title":"Nature"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3758","DOI":"10.1103\/PhysRevA.38.3758","article-title":"Non-Gaussian behavior of the displacement statistics of interacting colloidal particles","volume":"38","author":"Lekkerkerker","year":"1988","journal-title":"Phys. Rev. A"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1063\/1.457492","article-title":"Tracer diffusion in concentrated colloidal dispersions. III. Mean squared displacements and self-diffusion coefficients","volume":"91","author":"Underwood","year":"1989","journal-title":"J. Chem. Phys."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"044904","DOI":"10.1063\/1.3063120","article-title":"The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model","volume":"130","author":"Mendoza","year":"2009","journal-title":"J. Chem. Phys."},{"key":"ref_35","unstructured":"Glasstone, S., Laidler, K., and Eyring, H. (1941). The Theory of Rate Processes, McGRAW-HILL."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1021\/j150474a012","article-title":"Diffusion and Membrane Permeability","volume":"53","author":"Zwolinski","year":"1949","journal-title":"J. Phys. Chem."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1088\/1367-2630\/7\/1\/035","article-title":"Mesoscopic thermodynamics of stationary non-equilibrium states","volume":"7","year":"2005","journal-title":"New J. Phys."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"028303","DOI":"10.1103\/PhysRevLett.108.028303","article-title":"Active Nonlinear Microrheology in a Glass-Forming Yukawa Fluid","volume":"108","author":"Winter","year":"2012","journal-title":"Phys. Rev. Lett."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"12A512","DOI":"10.1063\/1.4770335","article-title":"Nonlinear active micro-rheology in a glass-forming soft-sphere mixture","volume":"138","author":"Winter","year":"2013","journal-title":"J. Chem. Phys."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"224501","DOI":"10.1063\/1.4937154","article-title":"Understanding the nonlinear dynamics of driven particles in supercooled liquids in terms of an effective temperature","volume":"143","author":"Schroer","year":"2015","journal-title":"J. Chem. Phys."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/S0378-4371(96)00377-9","article-title":"Fluctuating hydrodynamics approach to chemical reactions","volume":"237","author":"Pagonabarraga","year":"1997","journal-title":"Phys. A"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"21502","DOI":"10.1021\/jp052904i","article-title":"The Mesoscopic Dynamics of Thermodynamic Systems","volume":"109","author":"Reguera","year":"2005","journal-title":"J. Phys. Chem. B"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"P\u00e9rez-Madrid, A., and Santamaria-Holek, I. (2021). A Theoretical Perspective of the Photochemical Potential in the Spectral Performance of Photovoltaic Cells. Entropy, 23.","DOI":"10.3390\/e23050579"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"045004","DOI":"10.1063\/1.4979608","article-title":"Power conversion efficiency of non-equilibrium light absorption","volume":"7","year":"2017","journal-title":"AIP Adv."},{"key":"ref_45","first-page":"121","article-title":"On the quantum theory of radiation","volume":"18","author":"Einstein","year":"1917","journal-title":"Phys. Z."},{"key":"ref_46","unstructured":"Kittel, C. (1958). Elementary Statistical Physics, Wiley."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1109\/T-ED.1984.21594","article-title":"Limiting Efficiency of Silicon Solar Cells","volume":"31","author":"Tiedje","year":"1984","journal-title":"IEEE Trans. Electron. Devices"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.1063\/1.334486","article-title":"A two-level system as a model for a photovoltaic solar cell","volume":"57","author":"Baruch","year":"1985","journal-title":"J. App. Phys."},{"key":"ref_49","unstructured":"Schiff, L. (1981). Quantum Mechanics, McGraw-Hill."},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Milonni, P. (1994). The Quantum Vacuum. An Introduction to Quantum Electrodynamics, Academic Press.","DOI":"10.1016\/B978-0-08-057149-2.50014-X"},{"key":"ref_51","unstructured":"Davidson, N. (2003). Statistical Mechanics, Dover."},{"key":"ref_52","unstructured":"Bumgartner, F., Sutterluti, J., Zaaiman, W., and Meier, T.S.J. (2006, January 4\u20138). Indoor and outdoor characterization of a-Si: H PIN module. Proceedings of the 21th European Photovoltaic Solar Energy Conference, Dresden, Germany."},{"key":"ref_53","unstructured":"(2021, March 26). Available online: https:\/\/pvpmc.sandia.gov\/modeling-steps\/2-dc-module-iv\/effective-irradiance\/spectral-response\/."},{"key":"ref_54","doi-asserted-by":"crossref","unstructured":"Appelbaum, J., and Maor, T. (2020). Dependence of PV Module Temperature on Incident Time-Dependent Solar Spectrum. Appl. Sci., 10.","DOI":"10.3390\/app10030914"},{"key":"ref_55","unstructured":"Kampeni, N. (2007). Stochastic Processes in Physics and Chemistry, North-Holland."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"245405","DOI":"10.1103\/PhysRevB.68.245405","article-title":"Definition and measurement of the local density of electromagnetic states close to an interface","volume":"68","author":"Joulain","year":"2003","journal-title":"Phys. Rev. B"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"3967","DOI":"10.1088\/0022-3719\/15\/18\/012","article-title":"The chemical potential of radiation","volume":"15","author":"Wurfel","year":"1982","journal-title":"J. Phys. C Solid State Phys."},{"key":"ref_58","doi-asserted-by":"crossref","unstructured":"Wurfel, P. (2005). Physics of Solar Cells, Wiley.","DOI":"10.1002\/9783527618545"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0927-0248(96)00092-X","article-title":"Solar energy conversion with hot electrons from impact ionisation","volume":"46","author":"Wurfel","year":"1997","journal-title":"Sol. Energy Mater. Sol. Cells"},{"key":"ref_60","unstructured":"Kurtulik, M., Manor, A., Weill, R., and Rotschild, C. (2020). Temperature-dependent photoluminescence: A theoretical study. arXiv."},{"key":"ref_61","first-page":"503","article-title":"On the vibrations of the electronic plasma","volume":"10","author":"Landau","year":"1946","journal-title":"J. Phys."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1039\/D1NH00496D","article-title":"Scaling Planck\u2019s law: A unified approach to the Casimir effect and radiative heat-conductance in nanogaps","volume":"7","year":"2022","journal-title":"Nanoscale Horiz."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1038\/nature07610","article-title":"Measured Long-range Repulsive Casimir\u2013Lifshitz Forces","volume":"457","author":"Munday","year":"2009","journal-title":"Nature"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"3730","DOI":"10.1121\/1.428224","article-title":"The force between two parallel rigid plates due to the radiation pressure of phonons","volume":"106","author":"Bschorr","year":"1999","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"1272","DOI":"10.1103\/PhysRev.184.1272","article-title":"Vacuum Stress between Conducting Plates: An Image Solution","volume":"184","author":"Brown","year":"1969","journal-title":"Phys. Rev."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"4757","DOI":"10.1103\/PhysRevLett.84.4757","article-title":"Thermal Effects on the Casimir Force","volume":"84","author":"Bostrom","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1038\/nnano.2016.17","article-title":"Radiative heat conductances between dielectric and metallic parallel plates with nanoscale gaps","volume":"11","author":"Song","year":"2016","journal-title":"Nat. Nanotech"},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"181105","DOI":"10.1063\/5.0108448","article-title":"Radiative thermal conductance between nanostructures","volume":"121","year":"2022","journal-title":"Appl. Phys. Lett."},{"key":"ref_69","unstructured":"Landau, L., Lifshitz, E., and Pitaevskii, L. (2008). Electrodynamics of Continuous Media, Elsevier."},{"key":"ref_70","doi-asserted-by":"crossref","unstructured":"McHale, J.L. (2017). Molecular Spectroscopy, CRC Press.","DOI":"10.1201\/9781315115214"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1063\/1.1750906","article-title":"Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics","volume":"9","author":"Cole","year":"1941","journal-title":"J. Chem. Phys."},{"key":"ref_72","unstructured":"Bergman, T.L., and Lavine, A.S. (2017). Fundamentals of Heat and Mass Transfer, Wiley."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1038\/s41586-018-0480-9","article-title":"Hundred-fold enhancement in far-field radiative heat transfer over the blackbody limit","volume":"561","author":"Thompson","year":"2018","journal-title":"Nature"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"19521","DOI":"10.1039\/D4CP01772B","article-title":"A statistical theory of the photoluminescence determination of the band gap energy in nano-crystals and layered materials","volume":"26","year":"2024","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_75","first-page":"914","article-title":"Thermal expansion of a linear chain","volume":"104","author":"Bauer","year":"1956","journal-title":"Am. J. Phys."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1021\/acs.nanolett.8b04041","article-title":"Bright mid-infrared photoluminescence from thin-film black phosphorus","volume":"19","author":"Chen","year":"2019","journal-title":"Nano Lett."},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"L1178","DOI":"10.1143\/JJAP.30.L1178","article-title":"Photoconduction of black phosphorus in the infrared region","volume":"30","author":"Baba","year":"1991","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"1700231","DOI":"10.1002\/adom.201700231","article-title":"Giant Bandgap Renormalization and Exciton-Phonon Scattering in Perovskite Nanocrystals","volume":"5","author":"Saran","year":"2017","journal-title":"Adv. Optical Mater."},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"2100084","DOI":"10.1002\/advs.202100084","article-title":"Unusual Temperature Dependence of Bandgap in 2D Inorganic Lead-Halide Perovskite Nanoplatelets","volume":"8","author":"Yu","year":"2021","journal-title":"Adv. Sci."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"3692","DOI":"10.1021\/nl5048779","article-title":"Nanocrystals of Cesium Lead Halide Perovskites (CsPbX3, X = Cl, Br, and I): Novel Optoelectronic Materials Showing Bright Emission with Wide Color Gamut","volume":"15","author":"Protesescu","year":"2015","journal-title":"Nano Lett."},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1119\/1.10057","article-title":"Simple formula for the distortions in a Gaussian representation of a Poisson distribution","volume":"43","author":"Curtis","year":"1975","journal-title":"Am. J. Phys."},{"key":"ref_82","doi-asserted-by":"crossref","unstructured":"van Etten, W.C. (2005). Introduction to Random Signals and Noise, John Wiley & Sons Ltd.","DOI":"10.1002\/0470024135"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/28\/1\/99\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T08:12:47Z","timestamp":1768551167000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/28\/1\/99"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,14]]},"references-count":82,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,1]]}},"alternative-id":["e28010099"],"URL":"https:\/\/doi.org\/10.3390\/e28010099","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,14]]}}}