3 papers
cond-mat.mes-hall2026
The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force
Georgii Koniukov, Dmitry Nerukh
It has been known for a long time that the equation of motion for dissipative linear dynamical systems with constant coefficients cannot be derived from the classical principle of…
cond-mat.mes-hall2024
Deriving friction force using fractional calculus
Georgii Koniukov
The friction force is derived using fractional calculus by considering the non-uniform flow of time in dissipative processes. The approach incorporates inhomogeneous velocity witho…
q-bio.BM2024
Protein atom traps as seeing by neutron scattering
Georgii Koniukov
The expression for the higher temperature dependence of the mean squared displacement in proteins is obtained. The quantum multi-well model explains the dynamic transitions of the…