TY - JOUR

T1 - Fluctuation formalism for elastic constants in hard-spheres-and-tethers systems

AU - Farago, Oded

AU - Kantor, Yacov

PY - 2000

Y1 - 2000

N2 - Methods which relate the elastic constants of thermodynamic systems to the fluctuations of the pressure or the volume are called “fluctuation” methods. In this paper we derive expressions, within the fluctuation method, for determining elastic constants in systems composed of hard spheres tethered by inextensible bonds. Such systems are frequently used as athermal models of real physical systems whose thermodynamic properties are primarily determined by entropy rather than energy. Our expressions relate the elastic constants to the probability densities of contacts between the spheres and the probability densities of having stretched bonds. We use our formalism to compute, from Monte Carlo simulations, the elastic constants of hard-sphere systems. Our results agree well with analytical predictions and improve the existing numerical data.

AB - Methods which relate the elastic constants of thermodynamic systems to the fluctuations of the pressure or the volume are called “fluctuation” methods. In this paper we derive expressions, within the fluctuation method, for determining elastic constants in systems composed of hard spheres tethered by inextensible bonds. Such systems are frequently used as athermal models of real physical systems whose thermodynamic properties are primarily determined by entropy rather than energy. Our expressions relate the elastic constants to the probability densities of contacts between the spheres and the probability densities of having stretched bonds. We use our formalism to compute, from Monte Carlo simulations, the elastic constants of hard-sphere systems. Our results agree well with analytical predictions and improve the existing numerical data.

UR - http://www.scopus.com/inward/record.url?scp=0001388544&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.61.2478

DO - 10.1103/PhysRevE.61.2478

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AN - SCOPUS:0001388544

SN - 1063-651X

VL - 61

SP - 2478

EP - 2489

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 3

ER -