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The one-dimensional Van der Waals gas

Physica, 1970
Abstract The Van der Waals gas with long but finite attractive potential is studied in one dimension. The exponent of the integrand in the partition function is expanded to fourth order (“third Van der Waals approximation‘). The fourth-order term has the effect of rounding off the singularity at the Van der Waals critical point, and replacing it with
openaire   +1 more source

Multiplicity of thermodynamic states of van der Waals gas in nanobubbles

Chinese Journal of Chemical Engineering, 2021
Abstract The gas-containing nanobubbles have attracted extensive attention due to their remarkable properties and extensive application potential. However, a number of fundamental aspects of nanobubbles, including thermodynamic states for the confined gas, remain still unclear.
Xu Tang   +5 more
openaire   +1 more source

Limits of Solutions to the Isentropic Euler Equations for van der Waals Gas

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
Abstract In this paper, we consider limit behaviors of Riemann solutions to the isentropic Euler equations for a non-ideal gas (i.e. van der Waals gas) as the pressure vanishes. Firstly, the Riemann problem of the isentropic Euler equations for van der Waals gas is solved.
Jinhuan Wang, Yicheng Pang, Yu Zhang
exaly   +3 more sources

Van der Waals-Gas

2010
Das van der Waals-Gas wird als ein Modell fur den Phasenubergang gasformig– flussig vorgestellt und untersucht. Van der Waals hat dieses Modell 1873 in seiner Doktorarbeit eingefuhrt. Die thermische Zustandsgleichung wird durch die so genannte Maxwellkonstruktion erganzt. Dann erklart das van der Waals-Modell die Existenz einer Dampfdruckkurve P d (T ),
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On the condensation of a Van der Waals gas

2011
A classical gas whose particles interact through a weak long range attraction and short range repulsion is studied. We study the properties of a non-linear integral equation, previously derived by N.G. Van Kampen, whose solutions give the possible equilibrium density distributions.
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Nonclassical behavior of the van der Waals gas

Journal of Statistical Physics, 1973
The partition function of the van der Waals gas is represented by a functional integral which is evaluated by summing the value of the integrand over its absolute and all of its secondary maxima. This leads to a one-to-one correspondence with the Ising model with nearest-neighbor interactions only.
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Anomalous Transport Properties of a van der Waals Gas

The Journal of Chemical Physics, 1968
The contribution of the long-range potential to the transport coefficients of a van der Waals gas in the critical region are calculated using the time-correlation-function method. The microscopic currents are expanded in terms of wave-vector-dependent density fluctuations (found previously by van Kampen) whose time dependence is assumed to be described
Raymond D. Mountain, Robert Zwanzig
openaire   +1 more source

New combining rules for rare gas van der waals parameters

Journal of Computational Chemistry, 1993
AbstractNew combining rules are proposed for the well depth, ϵ, and interaction distance, σ, describing nonbonded interatomic forces for rare gas pair interactions. Concepts underlying current combining rules applied in simulations of macromolecular and polymer systems are shown to be incompatible with experimental data on the rare gases.
Marvin Waldman, Arnold T. Hagler
openaire   +1 more source

ON THE KINETIC THEORY OF A VAN DER WAALS GAS

Canadian Journal of Physics, 1967
A kinetic equation is proposed that leads, in equilibrium, to the Van der Waals equation of state. It is shown that this kinetic equation obeys an H theorem, and that its equilibrium solutions are, in the condensation region, of two types, (i) inhomogeneous equilibrium solutions which are absolutely stable and correspond to the two phases in ...
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Crystallization via shaking in a granular gas with van der Waals interactions

Physical Review E, 2019
We investigate the effect of van der Waals forces on a collection of granular particles by means of molecular dynamics simulations of a vibrated system in three dimensions. The van der Waals interactions introduce two phase coexistences: one between a random close packing and a gas and a second between a polycrystalline dense state and a gas, where the
Qiong Bai, Marco G. Mazza
openaire   +3 more sources

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