We theoretically study the heat conduction in a harmonic chain with a stochastic force field, in contact with two Langevin thermal baths at different temperatures. In particular, we investigate the interplay between the thermal baths properties and the size of the system. To this aim, we introduce a stochastic force field, which is simple enough to be energy-conserving for each particle of the chain, but sufficiently aleatory to induce the ballistic to diffusive transition in the conductive behavior of the chain. When this stochastic force field is absent, we observe a ballistic behavior strongly dependent on the characteristic collision frequency of the thermal baths for any size of the system. On the other hand, when the stochastic force field is activated, the diffusive behavior is established and the effect of the thermal baths is removed in the thermodynamic limit.

中文翻译：

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热传导弹道扩散转变的随机力模型

我们从理论上研究了具有随机力场的谐波链中的热传导，与两个不同温度的朗之万热浴接触。特别是，我们研究了热浴特性与系统尺寸之间的相互作用。为了这个目的，我们引入了一个随机力场，它足够简单，对于链的每个粒子都是能量守恒的，但又足以在链的导电行为中诱导弹道到扩散的转变。当这种随机力场不存在时，我们观察到弹道行为强烈依赖于任何大小系统的热浴的特征碰撞频率。另一方面，当随机力场被激活时，