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A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density $U$ a collapsed phase is identified, while in the high energy limit the particles are homogeneously…

Statistical Mechanics · Physics 2016-08-31 Alessandro Torcini , Mickael Antoni

A strong-to-weak-coupling duality is established for the nonequilibrium interacting resonant-level model, describing tunneling through a single spinless level, capacitively coupled to two leads by a contact interaction. For large capacitive…

Strongly Correlated Electrons · Physics 2007-10-02 Avraham Schiller , Natan Andrei

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has…

Soft Condensed Matter · Physics 2016-11-08 Pei Liu , Manman Ma , Zhenli Xu

In this paper we investigate the thermodynamical properties of ``unbalanced'' superconductors, namely, systems where the electron-boson coupling $\lambda$ is different in the self-energy and in the Cooper channels. This situation is…

Superconductivity · Physics 2009-11-13 E. Cappelluti , G. A. Ummarino

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularizations associated with the lowest Landau level. For this model we…

Mathematical Physics · Physics 2016-09-07 Raymond Brummelhuis , Mary Beth Ruskai

Translocation properties of ionic channels are investigated, on the basis of classical electrostatics, with an emphasis on asymptotic formulas for the potential and field associated with a point charge in the channel. Due to image charges…

Soft Condensed Matter · Physics 2007-05-23 Sofian Teber

In strongly interacting electron systems with low density and at low temperature the thermodynamic density of states is negative. It creates difficulties with understanding of the Einstein relation between conductivity and diffusion…

Strongly Correlated Electrons · Physics 2009-11-13 A. L. Efros

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential. For the specific inverse temperature $\beta=1$ (in our…

Mathematical Physics · Physics 2019-08-21 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

Structural properties of a finite number ($N = 2 - 20$) of point charges (classical electrons) confined laterally in a two-dimensional two-minima potential are calculated as a function of the distance ($d$) between the minima. The particles…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , M. Alatalo , A. Harju , R. M. Nieminen

Using the specific model of a system of like charged ions confined between two planar like charged surfaces, we compare the predictions for the energy and density profile of four simulation methods available to treat the long range Coulomb…

Statistical Mechanics · Physics 2007-05-23 M. Mazars , J-M. Caillol , J. -J. Weis , D. Levesque

The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study physical situations when one or two "guest" arbitrarily-charged particles are immersed in the bulk of a classical electrolyte modelled by a Coulomb gas of positive/negative unit point-like charges, the whole system being in thermal…

Statistical Mechanics · Physics 2009-11-11 L. Samaj

We explore structural correlations of strongly asymmetric mixtures of binary charged colloids within the primitive model of electrolytes considering large charge and size ratios of 10 and higher. Using computer simulations with explicit…

Soft Condensed Matter · Physics 2022-07-13 Elshad Allahyarov , Hartmut Löwen , Alan Denton

The statistical mechanics of a two dimensional Coulomb gas confined to one dimension is studied, wherein hard core particles move on a ring. Exact self-duality is shown for a version of the sine-Gordon model arising in this context, thereby…

Condensed Matter · Physics 2009-10-31 O. Narayan , B. S. Shastry

Pair potentials that are bounded at the origin provide an accurate description of the effective interaction for many systems of dissolved soft macromolecules (e.g., flexible dendrimers). Using numerical free-energy calculations, we…

Soft Condensed Matter · Physics 2014-10-29 C. Speranza , S. Prestipino , G. Malescio , P. V. Giaquinta

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

The behavior of H-like ions embedded in astrophysical plasmas in the form of \emph{dense, strongly and weakly coupled} plasmas are investigated. In these, the increase and decrease in temperature is impacted with a change in confinement…

Plasma Physics · Physics 2022-05-20 Neetik Mukherjee , Chandra Nath Patra , Amlan K. Roy

The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron hamiltonian, this same operator…

Strongly Correlated Electrons · Physics 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl
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