ar X iv : 1 00 4 . 51 42 v 3 [ co nd - m at . s of t ] 2 8 M ar 2 01 1 Pressure - energy correlations in liquids . V . Isomorphs
نویسندگان
چکیده
This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NV T ensemble. Paper IV [N. Gnan et al., J. Chem. Phys. 131, 234504 (2009)] showed that strongly correlating liquids have “isomorphs”, which are curves in the phase diagram along which structure, dynamics, and some thermodynamic properties are invariant in reduced units. In the present paper, using the fact that reduced-unit radial distribution functions are isomorph invariant, we derive an expression for the shapes of isomorphs in the WU phase diagram of generalized Lennard-Jones systems of one or more types of particles. The isomorph shape depends only on the Lennard-Jones exponents; thus all isomorphs of standard Lennard-Jones systems (with exponents 12 and 6) can be scaled onto to a single curve. Two applications are given. One is testing the prediction that the solid-liquid coexistence curve follows an isomorph by comparing to recent simulations by Ahmed and Sadus [J. Chem. Phys. 131, 174504 (2009)]. Excellent agreement is found on the liquid side of the coexistence, whereas the agreement is worse on the solid side. A second application is the derivation of an approximate equation of state for generalized Lennard-Jones systems by combining the isomorph theory with the Rosenfeld-Tarazona expression for the temperature dependence of potential energy on isochores. It is shown that the new equation of state agrees well with simulations.
منابع مشابه
ar X iv : 1 51 0 . 01 68 0 v 3 [ co nd - m at . s of t ] 2 8 A pr 2 01 6 Steady Flow Dynamics during Granular Impact
Abram H. Clark, 2 Lou Kondic, and Robert P. Behringer Department of Physics & Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA (Dated: Apri...
متن کاملar X iv : 0 70 7 . 42 37 v 2 [ co nd - m at . s up r - co n ] 2 3 M ar 2 00 8 Fluctuation spectroscopy of granularity in superconducting structures
We suggest to use ‘fluctuation spectroscopy’ as a method to detect granularity in a disordered metal close to a superconducting transition. We show that with lowering temperature T the resistance R(T ) of a system of relatively large grains initially grows due to the fluctuation suppression of the one-electron tunneling but decreases with further lowering T due to the coherent charge transfer o...
متن کاملar X iv : 1 51 0 . 01 68 0 v 1 [ co nd - m at . s of t ] 6 O ct 2 01 5 Steady Flow Dynamics during Granular Impact
Abram H. Clark, 2 Lou Kondic, and Robert P. Behringer Department of Physics & Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA (Dated: Octo...
متن کاملar X iv : 0 80 3 . 27 76 v 1 [ co nd - m at . s up r - co n ] 1 9 M ar 2 00 8 Negative conductance in driven Josephson junctions ∗
We investigate an optimal regime of negative-valued conductance, emerging in a resistively and capacitively shunted Josephson junction, which is driven simultaneously by both, a time-periodic (ac) and a constant (dc) current. We analyze the current-voltage characteristics in the regime of absolute negative conductance. We additionally explore the stability of the negative response with respect ...
متن کامل