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An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The system of nuclear fragments exhibits a 1-st order liquid-gas phase transition. The peculiar thermodynamic properties of the model…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time…

Nuclear Theory · Physics 2020-01-08 Elena Litvinova , Peter Schuck , Herlik Wibowo

We derive a family of similarity solutions to the nonlinear non-equilibrium Marshak wave problem for an inhomogeneous planar medium which is coupled to a time dependent radiation driving source. We employ the non-equilibrium gray diffusion…

High Energy Astrophysical Phenomena · Physics 2024-11-25 Nitay Derei , Shmuel Balberg , Shay I. Heizler , Elad Steinberg , Ryan G. McClarren , Menahem Krief

We consider the calculation of the thermal self-energy of a neutrino that propagates in a medium composed of fermions and scalars interacting via a Yukawa-type coupling, in the case that the neutri no energy is much larger than the fermion…

High Energy Physics - Phenomenology · Physics 2021-07-07 José F. Nieves , Sarira Sahu

For any d-dimensional self-interacting fermionic model, all coefficients in the high-temperature expansion of its grand canonical partition function can be put in terms of multivariable Grassmann integrals. A new approach to calculate such…

Statistical Mechanics · Physics 2015-06-25 I. C. Charret , E. V. Corrêa Silva , S. M. de Souza , O. Rojas Santos , M. T. Thomaz

Broad theoretical arguments are proposed to show, formally, that the magnitude G of the temperature gradients in turbulent thermal convection at high Rayleigh numbers obeys the same advection-diffusion equation that governs the temperature…

Chaotic Dynamics · Physics 2011-02-11 K. R. Sreenivasan , A. Bershadskii , J. J. Niemela

The lineshape of spectroscopic transitions offer windows into the local environment of a system. Here, we present a novel approach for connecting the lineshape of a molecular exciton to finite-temperature lattice vibrations within the…

Pattern Formation and Solitons · Physics 2022-03-14 Eric R. Bittner , Carlos Silva , S. A. Shah , Hao Li

We present exact soliton solutions of anti-self-dual Yang-Mills equations for G=GL(N) on noncommutative Euclidean spaces in four-dimension by using the Darboux transformations. Generated solutions are represented by quasideterminants of…

Exactly Solvable and Integrable Systems · Physics 2020-07-24 Claire R. Gilson , Masashi Hamanaka , Shan-Chi Huang , Jonathan J. C. Nimmo

Thermal surface radiation has been detected with X-ray instruments for several neutron stars with high spectral, spatial and timing resolution. These observations allow for direct study of fundamental properties of the source, but require…

Astrophysics · Physics 2007-05-23 D. A. Lloyd

The large time behavior of non-negative weak solutions to a thin film approximation of the two-phase Muskat problem is studied. A classification of self-similar solutions is first provided: there is always a unique even self-similar…

Analysis of PDEs · Mathematics 2014-09-26 Philippe Laurencot , Bogdan-Vasile Matioc

We propose a new method for solving the Gelfand-Levitan-Marchenko equation (GLME) based on the block version of the Toeplitz Inner-Bordering (TIB) with an arbitrary point to start the calculation. This makes it possible to find solutions of…

Numerical Analysis · Mathematics 2021-11-25 Sergey Medvedev , Irina Vaseva , Mikhail Fedoruk

We present in this work a generalization of the solution of Gorenstein and Yang to the inconsistency problem of thermodynamics for systems of quasi-particles whose masses depend on both the temperature and the chemical potential. We work…

Nuclear Theory · Physics 2010-03-26 F. G. Gardim , F. M. Steffens

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature $T$, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a…

Statistical Mechanics · Physics 2007-05-23 Ph. A. Martin , J. Piasecki

Exact and approximate expressions for thermodynamic characteristics of heated matter, which consists of particles with finite mass-widths, are constructed. They are expressed in terms of Fermi/Bose distributions and spectral functions,…

Nuclear Theory · Physics 2008-11-26 D. N. Voskresensky

We propose an efficient numerical algorithm to solve Bogoliubov de Gennes equations self-consistently for inhomogeneous superconducting systems with a reformulated polynomial expansion scheme. This proposed method is applied to typical…

Superconductivity · Physics 2015-03-19 Yuki Nagai , Yukihiro Ota , Masahiko Machida

We present the first self-consistent direct calculation of a spectral function in the framework of the Functional Renormalization Group. The study is carried out in the relativistic $O(N)$ model, where the full momentum dependence of the…

High Energy Physics - Theory · Physics 2017-07-07 Nils Strodthoff

Based on the thermodynamic Green function approach two-nucleon correlations in nuclear matter at finite temperatures are revisited. To this end, we derive phase equivalent effective $r$-space potentials that include the effect of the Pauli…

Nuclear Theory · Physics 2008-11-26 M. Beyer , S. A. Sofianos

We present a systematic study of the similarity solutions for the Marshak wave problem, in the local thermodynamic equilibrium (LTE) diffusion approximation and in the supersonic regime. Self-similar solutions exist for a temporal power law…

High Energy Astrophysical Phenomena · Physics 2024-06-12 Menahem Krief , Ryan G. McClarren