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A general field-theoretical description of many-fermion systems, with or without quenched disorder, is developed. Starting from the Grassmannian action for interacting fermions, we first bosonize the theory by introducing composite matrix…

Strongly Correlated Electrons · Physics 2014-10-13 D. Belitz , T. R. Kirkpatrick

This Article presents a nonequilibrium thermodynamic theory for the mean-field precipitation, aggregation and pattern formation of colloidal clusters. A variable gradient energy coefficient and the arrest of particle diffusion upon…

Soft Condensed Matter · Physics 2018-10-17 Thomas Petersen , Martin Z. Bazant , Roland J. M. Pellenq , Franz-Josef Ulm

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

The Landau Free Energy determines the landscape of order parameter fluctuations that occur in a physical system at thermal equilibrium and, in particular, characterizes the critical phenomena. We propose a semi-analytical approach based on…

Statistical Mechanics · Physics 2023-12-07 S. Semenov , A. N. Rubtsov

We review and complete the existing literature on the kinetic theory of spatially homogeneous systems with long-range interactions taking collective effects into account. The evolution of the system as a whole is described by the…

Statistical Mechanics · Physics 2012-02-20 Pierre-Henri Chavanis

In this work we investigated the phase behavior of melts of block-copolymers with one charged block by means of dissipative particle dynamics with explicit electrostatic interactions. We assumed that all the Flory-Huggins \c{hi} parameters…

Soft Condensed Matter · Physics 2019-06-12 Alexey A. Gavrilov , Alexander V. Chertovich , Igor I. Potemkin

The half-filled Landau level is widely believed to be described by the Halperin-Lee-Read theory of the composite Fermi liquid (CFL). In this paper, we develop a theory for the particle-hole conjugate of the CFL, the Anti-CFL, which we argue…

Strongly Correlated Electrons · Physics 2015-10-28 Maissam Barkeshli , Michael Mulligan , Matthew P. A. Fisher

A simple model of a circularly closed dsDNA in a poor solvent is considered as an example of a semi-flexible polymer with self-attraction. To find the ground states, the conformational energy is computed as a sum of the bending and…

Biological Physics · Physics 2013-04-25 E. L. Starostin

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

We study the Kohn-Luttinger effect in a two-dimensional (2D) nested Fermion liquid with a repulsive interaction via the renormalization group method and identify the resulting order parameter symmetry. Using the band structure of the 2D…

Strongly Correlated Electrons · Physics 2009-10-28 Hyok-Jon Kwon

The massive field theory approach in fixed space dimensions $d=3$ is applied to investigate a dilute solution of long-flexible polymer chains in a good solvent between two parallel repulsive walls, two inert walls and for the mixed case of…

Soft Condensed Matter · Physics 2009-10-08 D. Romeis , Z. Usatenko

We extend the Cahn-Landau-de Gennes mean field theory of binary mixtures to understand the wetting thermodynamics of a three phase system, that is in contact with an external surface which prefers one of the phases. We model the system…

Soft Condensed Matter · Physics 2020-12-01 Biswaroop Mukherjee , Buddhapriya Chakrabarti

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

Heider's Balance Theory in signed networks, which consists of friendship or enmity relationships, is a model that relates the type of relationship between two people to the third person. In this model, there is an assumption of the…

Physics and Society · Physics 2022-05-18 M. H. Hakimi Siboni , A. Kargaran , G. R. Jafari

We study the dimer model on the square grid, with quenched random edge weights. Randomness is chosen to have a layered structure, similar to that of the celebrated McCoy-Wu disordered Ising model. Disorder has a highly non-trivial effect…

Probability · Mathematics 2025-07-17 Quentin Moulard , Fabio Toninelli

We analyze behavior of correlated electrons described by Hubbard-like models at intermediate and strong coupling. We show that with increasing interaction a pole in a generic two-particle Green function is approached. The pole signals…

Strongly Correlated Electrons · Physics 2009-10-30 V. Janis

The phase diagram of the Gross-Neveu model in $2+1$ space-time dimensions at non-zero temperature and chemical potential is studied in the limit of infinitely many flavors, focusing on the possible existence of inhomogeneous phases, where…

High Energy Physics - Lattice · Physics 2021-02-10 Michael Buballa , Lennart Kurth , Marc Wagner , Marc Winstel

The phase behavior of asymmetrically interacting ABC star triblock copolymer melts is investigated by the self-consistent field theory (SCFT). Motivated by the experimental systems, in this study, we focus on the systems in which the…

Soft Condensed Matter · Physics 2015-08-25 Kai Jiang , Juan Zhang , Qin Liang

In this paper we present a detailed analytical study of the phase diagram and of the structural properties of a field theoretic model with a short-range attraction and a competing long-range screened repulsion. We provide a full derivation…

Soft Condensed Matter · Physics 2009-11-13 Marco Tarzia , Antonio Coniglio

The Hubbard model on a semi-infinite three-dimensional lattice is considered to investigate electron-correlation effects at single-crystal surfaces. The standard second-order perturbation theory in the interaction U is used to calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , W. Nolting