WOLFRAM|DEMONSTRATIONS PROJECT

Frenkel-Kontorova-Tomlinson Model for Sliding Friction

​
n
5
t
130.
m
3.
c
0.44
γ
0.7
v
0.11
b
0.42
κ
0.17
The Frenkel–Kontorova–Tomlinson model is used to study the interface between two rigid sliding bodies. It consists of a chain of
n
equal particles of mass
m
​
connected by springs of strengths
κ
and damping force
γ
proportional to velocity. Each mass is coupled with a spring to the body at the top that moves at constant velocity
v
. The interaction with the body at the bottom is represented with a periodic potential of amplitude
b
, with
c
equal to the ratio of lattice constants. Open boundary conditions are used.