著名统计物理学家Mattis在2003年构造了一个低温下的热容量模型，用来反证“热容量随温度趋于零时为零”推不出热力学第三定律的普朗克表述.本文求出了这个模型的明显解，并讨论了这个解的意义, 特别强调了Mattis模型不违背热力学的原理，因此是物理上可以接受的系统.

In 2003, the famous statistical physicist Mattis constructed a heat capacity model at low temperatures to disprove that “the heat capacity is zero when the temperature approaches zero”can be taken as a statement of the third law of thermodynamics. This paper obtains the explicit solution of this model and discusses the significance of this solution and emphasizes that Mattis model is physically permissible.