相关流体对包埋包裹体的作用力
Forces exerted by a correlated fluid on embedded inclusions
摘要：
我们研究了由有效标量场理论描述的具有长程相关性的流体介质对包埋包裹体施加的力。这种力是介质介导的类卡西米尔力的基础。为了研究这些力超出热平均，有必要在介质的每个微观状态下定义它们。目前文献中使用了两种不同的力的定义。我们研究了它们背后的假设。我们表明，只有使用介质的应力张量的定义给出了所寻求的力施加在嵌入式夹杂物上的介质。如果第二个夹杂物嵌入在介质中，这个力的热平均值给出了两个夹杂物之间通常的类卡西米尔力。另一个定义可以用于不同的物理情况下的一个对象，与介质相互作用，而不是嵌入it.We显示在一个简单的例子中，这两个定义产生不同的结果的方差的卡西米尔力。
英文摘要：
We investigate the forces exerted on embedded inclusions by a fluid medium with long-range correlations, described by an effective scalar field theory. Such forces are the basis for the medium-mediated Casimir-like force. To study these forces beyond thermal average, it is necessary to define them in each microstate of the medium. Two different definitions of these forces are currently used in the literature. We study the assumptions underlying them. We show that only the definition that uses the stress tensor of the medium gives the sought-after force exerted by the medium on an embedded inclusion. If a second inclusion is embedded in the medium, the thermal average of this force gives the usual Casimir-like force between the two inclusions. The other definition can be used in the different physical case of an object that interacts with the medium without being embedded in it. We show in a simple example that the two definitions yield different results for the variance of the Casimir-like force.
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