A temperature swing adsorption process for separating a fluid mixture comprising first and second fluid components, the process comprising: (a) providing a parallel passage fluid adsorbent contactor structure comprising: a plurality of substantially parallel fluid flow passages oriented in a first axial direction between an inlet end and an outlet end thereof, cell walls situated between said fluid flow passages and comprising an adsorbent material; and a plurality of axially continuous thermally conductive filaments oriented in said axial direction and in direct contact with said adsorbent material; (b) admitting said fluid mixture into said inlet end of said parallel passage adsorbent contactor structure to flow towards said outlet end in said first axial direction; (c) adsorbing at least a portion of said first fluid component on said adsorbent material; (d) transferring heat from a heat of adsorption of said first fluid component on said adsorbent material along at least a portion of said thermally conductive filaments in a second axial direction towards said inlet end and opposite to said first axial direction during said adsorbing; (e) recovering a first product fluid depleted in said first fluid component relative to said fluid mixture from said outlet end; (f) desorbing at least a portion of said first fluid component adsorbed on said adsorbent material by heating said first adsorbent material; (g) transferring heat along at least a portion of said thermally conductive filaments in either of said first or second axial directions to provide at least a portion of the heat of desorption of said first fluid component during said desorbing; and (h) recovering a desorbed second product fluid enriched in said first fluid component from at least one of said inlet and said outlet ends; wherein said adsorbent material is conditioned by admitting at least one conditioning fluid following step (h) and prior to said step (b) to condition the adsorbent material to a pre-adsorption temperature that is lower than the temperature of said adsorbent material in step (f). (a) providing a parallel passage fluid adsorbent contactor structure comprising: a plurality of substantially parallel fluid flow passages oriented in a first axial direction between an inlet end and an outlet end thereof, cell walls situated between said fluid flow passages and comprising an adsorbent material; and a plurality of axially continuous thermally conductive filaments oriented in said axial direction and in direct contact with said adsorbent material; a plurality of substantially parallel fluid flow passages oriented in a first axial direction between an inlet end and an outlet end thereof, cell walls situated between said fluid flow passages and comprising an adsorbent material; and a plurality of axially continuous thermally conductive filaments oriented in said axial direction and in direct contact with said adsorbent material; (b) admitting said fluid mixture into said inlet end of said parallel passage adsorbent contactor structure to flow towards said outlet end in said first axial direction; (c) adsorbing at least a portion of said first fluid component on said adsorbent material; (d) transferring heat from a heat of adsorption of said first fluid component on said adsorbent material along at least a portion of said thermally conductive filaments in a second axial direction towards said inlet end and opposite to said first axial direction during said adsorbing; (e) recovering a first product fluid depleted in said first fluid component relative to said fluid mixture from said outlet end; (f) desorbing at least a portion of said first fluid component adsorbed on said adsorbent material by heating said first adsorbent material; (g) transferring heat along at least a portion of said thermally conductive filaments in either of said first or second axial directions to provide at least a portion of the heat of desorption of said first fluid component during said desorbing; and (h) recovering a desorbed second product fluid enriched in said first fluid component from at least one of said inlet and said outlet ends; wherein said adsorbent material is conditioned by admitting at least one conditioning fluid following step (h) and prior to said step (b) to condition the adsorbent material to a pre-adsorption temperature that is lower than the temperature of said adsorbent material in step (f).