Dynamic scaling

Dynamic scaling (sometimes known as Family-Vicsek scaling) is a litmus test that shows whether an evolving system exhibits self-similarity. In general a function is said to exhibit dynamic scaling if it satisfies: Dynamic scaling (sometimes known as Family-Vicsek scaling) is a litmus test that shows whether an evolving system exhibits self-similarity. In general a function is said to exhibit dynamic scaling if it satisfies: Here the exponent θ {displaystyle heta } is fixed by the dimensional requirement [ f ] = [ t θ ] {displaystyle =} . The numerical value of f / t θ {displaystyle f/t^{ heta }} should remain invariant despite the unit of measurement of t {displaystyle t} is changed by some factor since φ {displaystyle varphi } is a dimensionless quantity.