March 02 2004
Driven energy of the steady state
The driven energy is defined as the average potential energy barrier to
move one particle one grid away from its initial position. What shown below
are the equilibrium ground state and the steady state driven by
E=(0.1, 0), both for the square lattice of 50x50 with f=1/25. The
driven energies along x direction and y direction have been computed for
both configurations. The data suggest that the system tries to minimize
its driven energy perpendicular to the driving direction while keeping the
driven energy along the driving direction smaller than the external
driving energy.
All of the energies shown below have divided by the number of particles. It is
interesting that the sums of the driven energies along x and y are exactly
the same for the two configurations.
| Configuration |
Picture |
Potential energy |
Driven energy along x |
Driven energy along y |
| Equilibrium ground state |
 |
-2.0997107366e+02 |
6.2203534541e-02 |
6.2203534541e-02 |
| Driven steady state |
 |
-2.0996745992e+02 |
6.9158839015e-02 |
5.5248230067e-02 |