Thermodynamics of Innovation: A Statistical Mechanics Framework of Social Adoption
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915945172172800 |
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| author | Giardini, Guilherme S. Y. daCunha, Carlo R. |
| author_facet | Giardini, Guilherme S. Y. daCunha, Carlo R. |
| contents | We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a canonical ensemble whose equilibrium distribution yields Gompertz-like and Maxwell-Boltzmann-like shapes. By reverse engineering the associated energy landscape, we define an effective potential and derive a dynamical Lagrangian formulation. The resulting field theory captures key features of emergent behaviors in socio-technical systems, from early suppression to peak dynamics and late decline. We interpret effective temperature, entropy, and equilibrium points, and show how these systems exhibit hybrid thermodynamic-statistical signatures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18560 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of Innovation: A Statistical Mechanics Framework of Social Adoption Giardini, Guilherme S. Y. daCunha, Carlo R. Physics and Society We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a canonical ensemble whose equilibrium distribution yields Gompertz-like and Maxwell-Boltzmann-like shapes. By reverse engineering the associated energy landscape, we define an effective potential and derive a dynamical Lagrangian formulation. The resulting field theory captures key features of emergent behaviors in socio-technical systems, from early suppression to peak dynamics and late decline. We interpret effective temperature, entropy, and equilibrium points, and show how these systems exhibit hybrid thermodynamic-statistical signatures. |
| title | Thermodynamics of Innovation: A Statistical Mechanics Framework of Social Adoption |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2508.18560 |