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We compare different versions of a bosonic description for systems of interacting fermions, with particular emphasis on the free energy functional. The bosonic effective action makes the issue of symmetries particularly transparent and we…

Strongly Correlated Electrons · Physics 2013-05-29 Christof Wetterich

Using the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional…

Computational Physics · Physics 2007-05-23 Jacek S. Leszczynski

Understanding the dynamics of dissipative quantum systems, particularly beyond the weak coupling approximation, is central to various quantum applications. While numerically exact methods provide accurate solutions, they often lack the…

Quantum Physics · Physics 2024-06-26 Marlon Brenes , Brett Min , Nicholas Anto-Sztrikacs , Nir Bar-Gill , Dvira Segal

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

The dynamical behavior of binary mixtures consisting of highly charged colloidal particles is studied by means of Brownian dynamics simulations. We investigate differently sized, but identically charged particles with nearly identical…

Soft Condensed Matter · Physics 2024-11-14 Daniel Weidig , Joachim Wagner

We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov--Peletminsky reduced…

Statistical Mechanics · Physics 2016-12-13 Yu. V. Slyusarenko , O. Yu. Sliusarenko , A. V. Chechkin

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

Quantum Physics · Physics 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi

By conditioning a stochastic process on the value of an observable, one obtains a new stochastic process with different properties. We apply this idea in the context of active matter, and condition interacting self-propelled particles on…

Statistical Mechanics · Physics 2020-03-04 Francesco Cagnetta , Emil Mallmin

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

Soft Condensed Matter · Physics 2017-02-03 René Wittmann , Joseph M. Brader

Given the ubiquity of depletion effects in biological and other soft matter systems, it is desirable to have coarse-grained Molecular Dynamics simulation approaches appropriate for the study of complex systems. This paper examines the use…

Soft Condensed Matter · Physics 2015-06-22 Tyler N. Shendruk , Martin Bertrand , James L. Harden , Gary W. Slater , Hendrick W. de Haan

When a colloid is mixed with a depletant such as a non-adsorbing polymer, one observes attractive effective interactions between the colloidal particles. If these particles are anisotropic, analysis of these effective interactions is…

Soft Condensed Matter · Physics 2016-09-08 Clement Law , Douglas J. Ashton , Nigel B. Wilding , Robert L. Jack

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape…

Quantum Gases · Physics 2015-02-24 A. G. Volosniev , D. Petrosyan , M. Valiente , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

We present an ab initio derivation method for effective low-energy Hamiltonians of material with strong spin-orbit interactions. The effective Hamiltonian is described in terms of the Wannier function in the spinor form, and effective…

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

We investigate effective interactions between a colloidal particle, immersed in a binary mixture of smaller spheres, and a semipermeable membrane. The colloid is modeled as a big hard sphere and the membrane is represented as an infinitely…

Soft Condensed Matter · Physics 2007-05-23 Pawel Bryk

We present a non-standard Hubbard model applicable to arbitrary single-particle potential profiles and inter-particle interactions. Our approach involves a novel treatment of Wannier functions, free from the ambiguities of conventional…

Strongly Correlated Electrons · Physics 2024-05-14 M. Zendra , F. Borgonovi , G. L. Celardo , S. Gurvitz

The recently proposed dynamical effective field model (DEFM) is quantitatively accurate for describing dynamical magnetic response of ferrofluids. In paper I it is derived under the framework of dynamical density functional theory, via…

Soft Condensed Matter · Physics 2020-11-17 Angbo Fang

We discuss an effective field theory (EFT) approach to the computation of fluctuation-induced interactions between particles bound to a thermally fluctuating fluid surface controlled by surface tension. By describing particles as points,…

Soft Condensed Matter · Physics 2015-06-12 Cem Yolcu , Ira Z. Rothstein , Markus Deserno

We investigate the interfacial phase behavior of a binary fluid mixture composed of repulsive point Yukawa particles. Using a simple approximation for the Helmholtz free energy functional, which yields the random phase approximation (RPA)…

Soft Condensed Matter · Physics 2009-08-10 Paul Hopkins , Andrew J. Archer , Robert Evans