  We study in detail the dynamic scaling of the three-dimensional (3D) Ising
model driven through its critical point on finite-size lattices and show that a
series of new critical exponents are needed to account for the anomalous
scalings originating from breaking of self-similarity of the so-called phases
fluctuations. Our results demonstrate that new exponents are generally required
for scaling in the whole driven process once the lattice size or an externally
applied field are taken into account. These open a new door in critical
phenomena and suggest that much is yet to be explored in driven nonequilibrium
critical phenomena.
