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A field theory is presented for particles which interact via Coulomb and hard-core potentials. We apply the method to the one-component plasma (OCP) with hard cores, consisting of identical particles of fixed charge and diameter in a…

Soft Condensed Matter · Physics 2007-05-23 Roland R. Netz , H. Orland

The low-density limit of the electrical conductivity $\sigma(n,T)$ of hydrogen as the simplest ionic plasma is presented as function of temperature T and mass density n in form of a virial expansion of the resistivity. Quantum statistical…

Plasma Physics · Physics 2021-10-27 Gerd Röpke , Maximilian Schörner , Ronald Redmer , Mandy Bethkenhagen

The virial expansion method is applied within a harmonic approximation to an interacting N-body system of identical fermions. We compute the canonical partition functions for two and three particles to get the two lowest orders in the…

Statistical Mechanics · Physics 2012-12-27 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

Although electrolyte density measurements have been reported for over a century, employing them to obtain accurate partial molar volume (PMV) profiles as a function of salt concentration has remained elusive. Obtaining such curves requires…

An improved virial expansion for the low-density limit of the electrical conductivity $\sigma (T,n)$ of hydrogen as the simplest ionic plasma is presented. Quantum statistical methods provide exact values for the lowest virial coefficients,…

Plasma Physics · Physics 2024-01-17 G. Röpke

Interparticle interactions in charge-stabilized colloidal suspensions, of arbitrary salt concentration, are described at the level of effective interactions in an equivalent one-component system. Integrating out from the partition function…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

Because micro-ions accumulate around highly charged colloidal particles in electrolyte solutions, the relevant parameter to compute their interactions is not the bare charge, but an effective (or renormalized) quantity, whose value is…

Soft Condensed Matter · Physics 2009-11-07 Lyderic Bocquet , Emmanuel Trizac , Miguel Aubouy

This paper investigates the density expansion of the thermodynamic properties of a two component plasma under the influence of a weak constant uniform magnetic field. We start with the fugacity expansion for the Helmholtz free energy. The…

Plasma Physics · Physics 2009-10-31 M. Steinberg , W. Ebeling , J. Ortner

The properties of plasmas in the low-density limit are described by virial expansions. Analytical expressions are known from Green's function approaches only for the first three virial coefficients. Accurate path integral Monte Carlo (PIMC)…

Plasma Physics · Physics 2024-02-26 Gerd Röpke , Tobias Dornheim , Jan Vorberger , David Blaschke , Biplab Mahato

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

Soft Condensed Matter · Physics 2015-07-28 L. Samaj , E. Trizac

We study chiral expansion at $m_\rho$-scale in framework of chiral constituent quark model. The lowest vector meson resonsances are treated as composited fields of constituent quarks. We illustrate that, at energy scale of $\rho$-meson…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

We study the electrophoretic flow of suspensions of charged colloids with a mesoscopic method that allows to model generic experimental conditions. We show that for highly charged colloids their electrophoretic mobility increases…

Soft Condensed Matter · Physics 2015-05-28 Giovanni Giupponi , Ignacio Pagonabarraga

We study the two-point Topological Charge Density Correlator (TCDC) in lattice QCD with two degenerate flavours of unimproved Wilson fermions and Wilson gauge action at two values of lattice spacings and different volumes, for a range of…

High Energy Physics - Lattice · Physics 2013-01-11 Abhishek Chowdhury , Asit K. De , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal

The properties of plasmas in the low-density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches.Recently, accurate path-integral Monte Carlo…

Plasma Physics · Physics 2026-04-24 Gerd Röpke , Chengliang Lin , Werner Ebeling , Heidi Reinholz

We study the contribution of electron-atom interaction to the equation of state for partially ionized hydrogen plasma using the cluster-virial expansion. For the first time, we use the Beth-Uhlenbeck approach to calculate the second virial…

Plasma Physics · Physics 2015-05-18 Yultuz A. Omarbakiyeva , Carsten Fortmann , T. S. Ramazanov , Gerd Röpke

The virial expansion characterizes the high-temperature approach to the quantum-classical crossover in any quantum many-body system. Here, we calculate the virial coefficients up to the fifth-order of Fermi gases in 1D, 2D, and 3D, with…

Quantum Gases · Physics 2020-09-16 Y. Hou , J. E. Drut

The stability of colloidal suspensions is crucial in a wide variety of processes including the fabrication of photonic materials and scaffolds for biological assemblies. The ionic strength of the electrolyte that suspends charged colloids…

Soft Condensed Matter · Physics 2015-07-16 Niels Boon , Guillermo Ivan Guerrero-Garcia , Rene van Roij , Monica Olvera de la Cruz

We study physics on $\rho(770)$ and $\omega(782)$ in framework of chiral constituent quark model. The effective action is derived by proper vertex method, which can capture all order information of chiral expansion. The $N_c^{-1}$ expansion…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

Virial expansion is a traditional approach in statistical mechanics that expresses thermodynamic quantities, such as pressure $p$, as power series of density or chemical potential. Its radius of convergence can serve as a potential…

Statistical Mechanics · Physics 2025-01-28 Kiyoharu Kawana

The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory…

Soft Condensed Matter · Physics 2009-10-31 Andre G. Moreira , Roland R. Netz
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