Nonlinear response theory is used to describe an impulsive temperature
quench of arbitrary magnitude. This approach enables us to define the
applied field and the conjugate dissipative flux, appropriate to temp
erature quenches. An exact transient time correlation function express
ion is given which may be used to calculate the response of an arbitra
ry phase function to a temperature quench. This expression is tested i
n computer simulations and found to be consistent with the observed re
sponse.