An evaporator burner arrangement (100) for a mobile heater operated with liquid fuel having: a mixture preparation region (2) for generating a fuel-air-mixture, a fuel evaporation surface (8) arranged in the mixture preparation region (2) for evaporating the liquid fuel, a combustion air supply (B) for supplying combustion air to the mixture preparation region (2), a fuel supply (1) for supplying liquid fuel to the fuel evaporation surface (8), a conversion region (3) being arranged fluidically downstream of the mixture preparation region (2) for converting the fuel-air mixture in order to release heat, and a heat conductor body (7) extending spaced from a sidewall (25) of the mixture preparation region (2) through the mixture preparation region (2) to the conversion region (3) for feeding-back heat from the conversion region (3) to the mixture preparation region (2) by thermal conductance