Abstract
We investigate the relationships between models of power-law long-range interactions and mechanics based on fractional derivatives. We present the fractional Lagrangian density which gives the Euler-Lagrange equation that serves as the equation of motion for fractional-power-law long-range interactions. We derive this equation by the fractional variational method. In addition, we derive a Noether-like current from the fractional Lagrangian density.
Original language | English |
---|---|
Pages (from-to) | 5827-5838 |
Number of pages | 12 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 391 |
Issue number | 23 |
DOIs | |
Publication status | Published - 2012 Dec 1 |
Externally published | Yes |
Keywords
- Fractional calculus
- Fractional variational method
- Lattice dynamics
- Long-range interaction
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics