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We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

Scattering of resonant radiation in a dense two-level medium is studied theoretically with account for local field effects and renormalization of the resonance frequency. Intrinsic optical bistability is viewed as switching between…

Quantum Physics · Physics 2015-05-20 M. G. Gladush , D. V. Kuznetsov , A. A. Panteleev , Vl. K. Roerich

We present nucleon elastic scattering calculation based on Green's function formalism in the Random-Phase Approximation. For the first time, the Gogny effective interaction is used consistently throughout the whole calculation to account…

Nuclear Theory · Physics 2015-06-23 G. Blanchon , M. Dupuis , H. F. Arellano , N. Vinh Mau

Many-body quantum-mechanical scattering problem is solved asymptotically when the size of the scatterers (inhomogeneities) tends to zero and their number tends to infinity. A method is given for calculation of the number of small…

Mathematical Physics · Physics 2015-05-20 A. G. Ramm

We propose a new efficient algorithm to obtain the locally minimal generating set of the syzygies for an ideal, i.e. a generating set whose proper subsets cannot be generating sets. Syzygy is a concept widely used in the current study of…

High Energy Physics - Theory · Physics 2016-10-03 Gang Chen , Junyu Liu , Ruofei Xie , Hao Zhang , Yehao Zhou

Within a recently developed mode-coupling theory for fluids confined to a slit we elaborate numerical results for the long-time limits of suitably generalized intermediate scattering functions. The theory requires as input the density…

Soft Condensed Matter · Physics 2021-10-29 Suvendu Mandal , Simon Lang , Vitalie Boţan , Thomas Franosch

The density dependence of the nuclear symmetry energy is inspected using the Statistical Multifragmentation Model with Skyrme effective interactions. The model consistently considers the expansion of the fragments' volumes at finite…

Nuclear Theory · Physics 2009-10-29 S. R. Souza , M. B. Tsang , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner

For a large class of inhomogeneous interacting particle systems (IPS) on a lattice we develop a rigorous method for mapping them onto homogeneous IPS. Our novel approach provides a direct way of obtaining the statistical properties of such…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Michael Blank

Symmetry energy coefficients of explicitly isospin asymmetric nuclear matter at variable densities (from .5$\rho_0$ up to 2 $\rho_0$) are studied as generalized screening functions. An extended stability condition for asymmetric nuclear…

Nuclear Theory · Physics 2009-11-07 Fabio L. Braghin

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

An effective description for spherical nanoparticles in a fluid of point particles is presented. The points inside the nanoparticles and the point particles are assumed to interact via spherically symmetric additive pair potentials, while…

Statistical Mechanics · Physics 2009-11-13 Ramses van Zon

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

Proton and neutron densities have been obtained for the even-even isotopes of Sn from $^{100}$Sn to $^{176}$Sn using a Hartree-Fock-Bogoliubov model with a Skyrme interaction. The matter densities so defined have been used with realistic…

Nuclear Theory · Physics 2009-11-10 K. Amos , S. Karataglidis , J. Dobaczewski

We compute the structure factor of the $J_1$-$J_2$ Ising model in an external field on the square lattice within the Cluster Variation Method. We use a four point plaquette approximation, which is the minimal one able to capture phases with…

Statistical Mechanics · Physics 2016-10-19 Alejandra I. Guerrero , Daniel A. Stariolo

An identification of a spherically symmetric potential by its phase shifts is an important physical problem. Recent theoretical results assure that such a potential is uniquely defined by a sufficiently large subset of its phase shifts at…

Mathematical Physics · Physics 2016-09-07 Semion Gutman , Alexander G. Ramm

We propose a method for reconstruction of the optical potential from scattering data. The algorithm is a two-step procedure. In the first step the real part of the potential is determined analytically via solution of the Marchenko equation.…

Quantum Physics · Physics 2009-11-11 N. A. Khokhlov , V. A. Knyr

By combining aspects of the coherent and self intermediate scattering functions, measured by dynamical light scattering on a suspension of hard sphere-like particles, we show that the arrest of particle number density fluctuations spreads…

Soft Condensed Matter · Physics 2015-05-13 W. van Megen , V. A. Martinez , G. Bryant

Inelastic proton scattering at energies of a few hundred MeV and extreme forward angles selectively excites the isovector spin-flip M1 (IVSM1) resonance. A method based on isospin symmetry is presented to extract its electromagnetic…

If we have a system of binary variables and we measure the pairwise correlations among these variables, then the least structured or maximum entropy model for their joint distribution is an Ising model with pairwise interactions among the…

Disordered Systems and Neural Networks · Physics 2014-09-12 Michele Castellana , William Bialek

In addition to the conventional renormalized--coupling--constant picture, point interactions in dimension two and three are shown to model within a suitable energy range scattering on localized potentials, both attractive and repulsive.

Condensed Matter · Physics 2009-10-28 P. Exner , P. Šeba