This chapter considers a special case when adsorption is initiated by a drop in adsorbent temperature as opposed to the common initiation by a jump in vapor pressure over the adsorbent. It analyzes the composite “salt in porous matrix” sorption dynamics under typical conditions of adsorptive heat transformation (AHT) cycles. It is important that the adsorption dynamics initiated by the temperature drop can significantly differ from that initiated by the common pressure jump. The large temperature jump (LTJ) method was suggested to study the dynamics of sorptive adsorption/desorption under laboratory conditions that nearly repeat the isobaric stages of a real AHT cycle. The main intrinsic limitation of the V-LTJ method is that only a small mass of adsorbent can be tested, so only simplest flat-layer configurations of adsorbent bed can be studied. One of the most important among the adsorbent properties that strongly affect the dynamic performance of AHT appears to be the shape of the sorption isobar.