"Santos, Andres" . . . "1539-3755" . . "Physical Review E" . . . . . "Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparisons with Monte Crlo simulations and integral equation theories"@en . "[38226C4C73AD]" . "Lopez de Haro, Mariano" . "13"^^ . . "431507" . "The two-body interaction in dilute solutions of polymer chains in good solvents can be modeled by means of effective bounded potentials, the simplest of which being that of penetrable spheres (PSs). In this paper we construct two simple analytical theories for the structural properties of PS fluids: a low-temperature (LT) approximation, that can be seen as an extension to PSs of the well-known solution of the Percus-Yevick (PY) equation for hard spheres, and a high-temperature (HT) approximation based on the exact asymptotic behavior in the limit of infinite temperature. Monte Carlo simulations for a wide range of temperatures and densities are performed to assess the validity of both theories. It is found that, despite their simplicity, the HT and LT approximations exhibit a fair agreement with the simulation data within their respective domains of applicability, so that they complement each other. A comparison with numerical solutions of the PY and the hypernetted-chain approximations is also carrie"@en . "RIV/60461373:22340/07:00018439!RIV11-GA0-22340___" . "4"^^ . . . "1"^^ . "Malijevsk\u00FD, Alexandr" . "RIV/60461373:22340/07:00018439" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "000249154600047" . "P(GP203/06/P432), P(LC512), Z(AV0Z40720504), Z(MSM0021620860)" . "Yuste, Santos Bravo" . . . "Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparisons with Monte Crlo simulations and integral equation theories"@en . "Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparisons with Monte Crlo simulations and integral equation theories" . "76" . . "statistical thermodynamics; penetrable speres, Monte Carlo methods"@en . . "The two-body interaction in dilute solutions of polymer chains in good solvents can be modeled by means of effective bounded potentials, the simplest of which being that of penetrable spheres (PSs). In this paper we construct two simple analytical theories for the structural properties of PS fluids: a low-temperature (LT) approximation, that can be seen as an extension to PSs of the well-known solution of the Percus-Yevick (PY) equation for hard spheres, and a high-temperature (HT) approximation based on the exact asymptotic behavior in the limit of infinite temperature. Monte Carlo simulations for a wide range of temperatures and densities are performed to assess the validity of both theories. It is found that, despite their simplicity, the HT and LT approximations exhibit a fair agreement with the simulation data within their respective domains of applicability, so that they complement each other. A comparison with numerical solutions of the PY and the hypernetted-chain approximations is also carrie" . . "Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparisons with Monte Crlo simulations and integral equation theories" . . "22340" . . . "1" .