Deriving friction force using fractional calculus
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911961767215104 |
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| author | Koniukov, Georgii |
| author_facet | Koniukov, Georgii |
| contents | The friction force is derived using fractional calculus by considering the non-uniform flow of time in dissipative processes. The approach incorporates inhomogeneous velocity without unphysical approximations, resulting in a Lagrangian where the order of fractional derivatives measures time intervals. The fractional term in the Lagrangian provides correct Euler-Lagrange, and ultimately, the Hamilton equations, and vanishes during energy change measurements, like a ghost. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13888 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deriving friction force using fractional calculus Koniukov, Georgii Mesoscale and Nanoscale Physics Mathematical Physics Classical Physics The friction force is derived using fractional calculus by considering the non-uniform flow of time in dissipative processes. The approach incorporates inhomogeneous velocity without unphysical approximations, resulting in a Lagrangian where the order of fractional derivatives measures time intervals. The fractional term in the Lagrangian provides correct Euler-Lagrange, and ultimately, the Hamilton equations, and vanishes during energy change measurements, like a ghost. |
| title | Deriving friction force using fractional calculus |
| topic | Mesoscale and Nanoscale Physics Mathematical Physics Classical Physics |
| url | https://arxiv.org/abs/2407.13888 |