Process for thermoregulating a flexible cellular material by compression and expansion of the gas trapped in its cells and associated device

A device for thermoregulation comprising:

• a flexible and elastic material that is inside the shoe as a sole, having sealed cells filled with air or with gas, each cell having two interconnected zones, including:
• a first zone storing the gas during the compression of said flexible material,
• a second zone that is configured as a nozzle to expand the same gas during the decompression of said flexible material, wherein:
• the first zone is disposed vertically relative to the second zone;
• and
• said material is formed in two layers, including:
• a first layer with a first shore hardness in which are arranged the first zones of the cells for storing gas during the compression of the material, and
• a second layer with a second shore hardness in which are arranged the second zones of the cells for expanding the same gas during the decompression of the material, wherein:
• the first shore hardness corresponding to the first layer is higher than the second shore hardness corresponding to the second layer;
• and the second layer is positioned on a foot side of the sole and the first layer is positioned on a bottom side of the sole configured to keep a foot of a user of the sole cool despite a warm ground.