Fluctuation pressure on a bio-membrane confined within a parabolic potential well

查看全文 作　　者：L. B. [1]Freund

机构地区：[1]Department of Materials Science and Engineering,University of Illinois at Urbana-Champaign

出　　处：《Acta Mechanica Sinica》索引2012年第28卷第4期,共6页

摘　　要：A compliant bio-membrane with a nominally flatreference configuration is prone to random transverse deflec-tions when placed in water, due primarily to the Brownianmotion of the water molecules. On the average, these fluc-tuations result in a state of thermodynamic equilibrium be-tween the entropic energy of the water and the total free en-ergy of the membrane. When the membrane is in close prox-imity to a parallel surface, that surface restricts the fluctua-tions of the membrane which, in turn, results in an increasein its free energy. The amount of that increase depends onthe degree of confinement, and the resulting gradient in freeenergy with degree of confinement implies the existence ofa confining pressure. In the present study, we assume thatthe confinement is in the form of a continuous parabolic po-tential well resisting fluctuation. Analysis leads to a closedform expression for the mean pressure resulting from thisconfinement, and the results are discussed within the broadercontext of results in this area. In particular, the results pro-vide insights into the roles of membrane stiffness, number ofdegrees of freedom in the model of the membrane and othersystem parameters. 关键词：抛物线势阱波动压力生物膜热力学平衡能源与环境布朗运动平均压力自由能

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Fluctuation pressure on a bio-membrane confined within a parabolic potential well

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