Dust heating inside cores embedded in spherical (black curves) or cylindrical (grey curves) filaments. The visible extinction A_V at the center of the filaments is either 8   mag (left-hand figure) or 64   mag (right-hand figure). The filaments are pressurized either by the mean pressure in the ISM (top) or by a medium with p_ext/k = 10⁶   K/cm³ (bottom). The total heating rates (solid curves) are separated into different components corresponding to the different radiation fields in the core: attenuated ISRF (long dashed curves), total scattered light (dotted curves), light scattered in the core (short dashed curves), dust emission from the filament (dashed-three dotted curves), and dust emission from the core (dashed-single dotted curves). The heating by dust emission produced inside the core is multiplied by a factor 5.