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We discuss methods used in mean-field theories to treat pairing correlations within the local density approximation. Pairing renormalization and regularization procedures are compared in spherical and deformed nuclei. Both prescriptions…

Nuclear Theory · Physics 2009-11-11 P. J. Borycki , J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

We present (asymptotically) exact expressions for the mobility and electrophoretic mobility of a weakly charged spherical particle in an $1:1$ electrolyte solution. This is done by analytically solving the electro and hydrodynamic equations…

Soft Condensed Matter · Physics 2014-01-22 Ludvig Lizana , Alexander Y. Grosberg

We examine the translation and rotation of an uncharged spheroidal colloid in polar solvents (water) near a charged flat surface. We solve the nonlinear Poisson-Boltzmann equation outside of the colloid in two dimensions for all tilt angles…

Soft Condensed Matter · Physics 2019-10-16 Yoav Tsori

An extension of the renormalized Jellium model which allows to study colloidal suspensions containing trivalent counterions is proposed. The theory is based on a modified Poisson-Boltzmann equation which incorporates the effects of…

Soft Condensed Matter · Physics 2012-03-26 Thiago E. Colla , Yan Levin

A complete characterization of the structure of nuclei can be obtained by combining information arising from inelastic scattering, Coulomb excitation and $\gamma-$decay, together with one- and two-particle transfer reactions. In this way it…

Nuclear Theory · Physics 2015-09-23 A. Idini , G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

An effective pair potential for systems of uniformly charged lamellar colloids in the presence of an electrolytic solution of microscopic co- and counterions is derived. The charge distribution on the discs is expressed as a collection of…

Soft Condensed Matter · Physics 2009-10-31 D. G. Rowan , J. -P. Hansen , E. Trizac

This paper uses elementary techniques drawn from renormalization theory to derive the Lorentz-Dirac equation for the relativistic classical electron from the Maxwell-Lorentz equations for a classical charged particle coupled to the…

Classical Physics · Physics 2015-06-05 Charles W. Nakhleh

Using an infinitesimal approach, this work addresses the renormalization problem to deal with the ultraviolet divergences arising in quantum field theory. Under the assumption that the action has already been renormalized to yield an…

High Energy Physics - Theory · Physics 2025-09-09 L. L. Salcedo

Freezing of charged colloids on square or triangular two-dimensional periodic substrates has been recently shown to realize a rich variety of orientational orders. We propose a theoretical framework to analyze the corresponding structures.…

Statistical Mechanics · Physics 2009-11-10 R. Agra , F. van Wijland , E. Trizac

Some quantum features of vortices in supersymmetric theories in 1+2 dimensions are studied in a manifestly supersymmetric setting of the superfield formalism. A close examination of the supercurrent that accommodates the central charge and…

High Energy Physics - Theory · Physics 2009-11-11 K. Shizuya

Through introducing a notion of renormalization of particle-number density, a simple perturbation scheme of nonequilibrium quantum-field theory is proposed. In terms of the renormalized particle-distribution functions, which characterize…

High Energy Physics - Theory · Physics 2016-08-15 A. Niégawa

With two minimal models, I study how electrode curvature affects the response of electrolytes to applied electrostatic potentials. For flat electrodes, Bazant et al. [Phys. Rev. E. 70, 021506 (2004)] popularized the "RC" timescale…

Chemical Physics · Physics 2019-10-08 Mathijs Janssen

Starting from a realistic One-Boson-Exchange model of the nucleon nucleon interaction the relativistic mean field for nucleons is determined within the Dirac Brueckner Hartree Fock approach for finite nuclei. The matrix elements of the…

Nuclear Theory · Physics 2009-10-28 A. Gil , M. Kleinmann , H. M"uther , E. Oset

We establish a simple, explicit relation between the formalisms employed in the treatments of polarization observables in deuteron two-body electrodisintegration published by Arenh\"ovel, Leidemann, and Tomusiak in Few-Body Systems {\bf…

Nuclear Theory · Physics 2014-11-18 V. Dmitrašinović , Franz Gross

We present an exact many-body framework for electrostatic interactions among $N$ arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equation. Building on a spectral analysis of nonstandard…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

A recently developed renormalization approach is used to study the electron-phonon coupling in many-electron systems. By starting from an Hamiltonian which includes a small gauge symmetry breaking field, we directly derive a BCS-like…

Superconductivity · Physics 2009-11-07 A. Huebsch , K. W. Becker

A microscopic theory of linear response based on the Vlasov equation is extended to systems having spheroidal equilibrium shape. The solution of the linearized Vlasov equation, which gives a semiclassical version of the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 A. Dellafiore , F. Matera , F. A. Brieva

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a…

Statistical Mechanics · Physics 2019-06-28 C. W. Outhwaite , L. B. Bhuiyan

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

It is shown that the standard expression for the diffusive flux in a semiconductor can be transformed to the flux from the Einstein-Smoluchowski equation after making use of the "Einstein identities". Later, it is possible to use a…

Materials Science · Physics 2007-05-23 S. Piekarski
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