Automatic door system, in particular in the form of a sliding door or a telescopic sliding door or a folding door

Automatic door system, in particular in the form of a sliding door or a telescopic sliding door or a folding door, comprising at least one first door leaf arrangement that has a first door leaf that is displaceable in the longitudinal direction of the door system on a first sub-stage, having the following features:

• at least one first drive device is provided, which is operatively connected to the at least one first door leaf of the at least one first door leaf arrangement in such a way that the at least one first door leaf is displaceable along the first sub-stage;
• a floor-side guide rail arrangement is provided, which extends in the longitudinal direction and comprises at least one first floor rail arrangement;
• the at least one first door leaf of the at least one first door leaf arrangement comprises an engagement element, the engagement element being arranged on a lower face of the at least one first door leaf;
• the at least one first floor rail arrangement comprises at least one first floor rail and at least one connection and/or functional element, the at least one connection and/or functional element being arranged and/or fixed on an end face of the at least one first floor rail and lengthening the first floor rail in the longitudinal direction;
• the at least one first floor rail comprises at least one first guide groove extending in the longitudinal direction;
• the at least one engagement element of the at least one first door leaf of the at least one first door leaf arrangement dips into the at least one first guide groove, and is guided in the longitudinal direction by the at least one first guide groove;
• the at least one connection and/or functional element has a lower thermal conductivity than the at least one first floor rail of the at least one first floor rail arrangement;
• the at least one first floor rail arrangement further comprises at least one second floor rail, which extends in the longitudinal direction;
• the first and the second floor rail each comprise an upper wall segment and two lateral wall segments, which connect to the upper wall segment and together enclose a cavity extending in the longitudinal direction, the first and/or second floor rail, in cross section, in the peripheral direction:
• a) being closed by a lower wall segment adjacent to the two side wall segments;
• b) or being open at least in portions towards the floor, and
• the first and the second floor rail having, at least on the first end faces thereof, an engagement opening through which the cavity is accessible;
• the at least one connection and/or functional element comprises at least one upper wall segment and two lateral wall segments, which connect to the upper wall segment, and is arranged between two first end faces, facing towards one another, of the two floor rails.