TY - JOUR
T1 - Relationships between power-law long-range interactions and fractional mechanics
AU - Ishiwata, Ryosuke
AU - Sugiyama, Yuki
PY - 2012/12/1
Y1 - 2012/12/1
N2 - 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.
AB - 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.
KW - Fractional calculus
KW - Fractional variational method
KW - Lattice dynamics
KW - Long-range interaction
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U2 - 10.1016/j.physa.2012.06.055
DO - 10.1016/j.physa.2012.06.055
M3 - Article
AN - SCOPUS:84865786425
SN - 0378-4371
VL - 391
SP - 5827
EP - 5838
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 23
ER -