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The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between pressure $P$, volume $V$ and temperature $k_{B}T$ of a real gas. We assign new variable interpretations adapted to the economic context: $P…

Adaptation and Self-Organizing Systems · Physics 2024-04-12 Max-Olivier Hongler , Olivier Gallay , Fariba Hashemi

We give a survey on the predictions of Coulombic phase transitions in dense plasmas (PPT) and derive several new results on the properties of these transitions. In particular we discuss several types of the critical point and the spinodal…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Genri Norman

In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration equation are obtained by means of finite…

Mathematical Physics · Physics 2020-01-31 Valentin Lychagin , Mikhail Roop

We define geometric critical exponents for systems that undergo continuous second order classical and quantum phase transitions. These relate scalar quantities on the information theoretic parameter manifolds of such systems, near…

Statistical Mechanics · Physics 2015-06-19 Prashant Kumar , Tapobrata Sarkar

In this work, the van der Waals fluid model, a diffuse-interface model for liquid-vapor two-phase flows, is numerically investigated. The thermodynamic properties of the van der Waals fluid are first studied. Dimensional analysis is…

Computational Physics · Physics 2018-09-05 Ju Liu

We investigate a kinetic model for compressible non-ideal fluids [DOI:10.1103/PhysRevE.102.020103]. The model imposes the local thermodynamic pressure through a rescaling of the particles velocities, which accounts for both long- and…

Fluid Dynamics · Physics 2021-02-02 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

A method of obtaining the critical temperature from within a supercritical mesophase bounded by percolation transition loci is described. We report thermodynamic pressures from MD simulations for more than 2000 state points along 7…

Statistical Mechanics · Physics 2013-01-28 David M. Heyes , Leslie V. Woodcock

The critical behavior of Myers-Perry black holes with equal angular momenta in even dimensions are studied. We include the corrections beyond the semiclassical approximation on Hawking temperature in the grand canonical ensemble. Having…

General Relativity and Quantum Cosmology · Physics 2013-07-10 Mohammad Bagher Jahani Poshteh , Behrouz Mirza , Zeinab Sherkatghanad

Considering the variable cosmological constant in the extended phase space has a significant background in the black hole physics. It was shown that the thermodynamic behavior of charged AdS black hole surrounded by the quintessence in the…

High Energy Physics - Theory · Physics 2021-05-19 S. H. Hendi , Kh. Jafarzade

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber

We investigate the well-posedness of the periodic boundary value problem for the steady compressible isentropic Navier-Stokes system under the van der Waals equation of state. The main difficulty arises from the non-monotonicity of the…

Analysis of PDEs · Mathematics 2026-02-18 Yazhou Chen , Qiaolin He , Dongjuan Niu , Yi Peng , Xiaoding Shi

The solid--fluid phase transition of a granular material shaken horizontally is investigated numerically. We find that it is a second-order phase transition and propose two order parameters, namely the averaged kinetic energy and the…

Soft Condensed Matter · Physics 2009-10-30 Gerald H. Ristow

Recent work on exact renormalization group flow equations has pointed out the possibility to study critical phenomena in continuous dimension D of space. In an investigation of the O(N) model the dimension N of the fields may be seen as a…

High Energy Physics - Theory · Physics 2007-05-23 H. Ballhausen

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals…

High Energy Physics - Theory · Physics 2013-11-12 S. H. Hendi , M. H. Vahidinia

We present evidence for a phase transition in a theory of 2D causal set quantum gravity which contains a dimensionless non-locality parameter $\epsilon \in (0,1]$. The transition is between a continuum phase and a crystalline phase,…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sumati Surya

We study the role of pairwise long-range interactions in the formation of van der Waals molecules through direct three-body recombination processes A + B + B $\rightarrow$ AB + B, based on a classical trajectory method in hyperspherical…

Chemical Physics · Physics 2021-09-06 Marjan Mirahmadi , Jesús Pérez-Ríos

We take up the investigation we left in the future-work stack in Giordano \textit{et al.} [``Fluid statics of a self-gravitational isothermal sphere of van der Waals' gas,'' Phys. Fluids \textbf{36}, 056127 (2024)], in which we pointed out…

Astrophysics of Galaxies · Physics 2025-01-27 Domenico Giordano , Pierluigi Amodio , Felice Iavernaro , Francesca Mazzia

In the present paper we propose the van der Waals-like model, which allows a purely analytical study of fluid properties including the equation of state, phase behavior and supercritical fluctuations. We take a square-well system as an…

Soft Condensed Matter · Physics 2015-06-18 V. V. Brazhkin , Yu. D. Fomin , V. N. Ryzhov , E. E. Tareyeva , E. N. Tsiok

We have investigated the phase transition of the gas-liquid type, with an upper critical point, in a variant of the One Component Plasma model (OCP) that has a uniform but compressible compensating background. We have calculated the…

Plasma Physics · Physics 2009-03-27 Igor Iosilevskiy

A phase transition of gas-liquid type with an upper critical point is examined which arises in a model of charges of one sign on compensating background (OCP). The phase transition parameters are dependent on the detailed assumptions about…

Plasma Physics · Physics 2009-01-23 Igor Iosilevskiy
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