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We employ adaptive mesh refinement, implicit time stepping, a nonlinear multigrid solver and parallel computation, to solve a multi-scale, time dependent, three dimensional, nonlinear set of coupled partial differential equations for three…

Mathematical Physics · Physics 2015-06-22 P. C. Bollada , C. E. Goodyer , P. K. Jimack , A. M. Mullis , F. W. Yang

The yields of light elements ($Z=1,2$) obtained from spontaneous ternary fission of $^{252}$Cf are treated within a nonequilibrium approach, and the contribution of unstable nuclei and excited bound states is taken into account. These light…

Nuclear Theory · Physics 2020-10-28 G. Röpke , J. B. Natowitz , H. Pais

A numerical study of the Einstein field equations, based on the 3+1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuum, within two different formalisms, namely the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Claudio Meringolo , Sergio Servidio , Pierluigi Veltri

The polarization tensor of graphene derived in the framework of the Dirac model using the methods of thermal quantum field theory in (2+1) dimensions is recast in a mathematically equivalent but more compact and convenient in computations…

Quantum Physics · Physics 2025-02-20 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

We analyse the three-particle scattering continuum in quasi one dimensional integer spin Heisenberg antiferromagnets within a low-energy effective field theory framework. We exactly determine the zero temperature dynamical structure factor…

Strongly Correlated Electrons · Physics 2009-10-31 Fabian H. L. Essler

These lectures review the large N Schwinger Bosons Mean Field approach to the quantum Heisenberg model. The method applies to ordered and disordered phases in all dimensions, at zero and at finite temperature. Extension to frustrated models…

Strongly Correlated Electrons · Physics 2008-12-28 Assa Auerbach , Daniel P. Arovas

The low energy quasiparticle dispersion of various narrow gap and gapless semiconductors are respectively described by three dimensional massive and massless Dirac fermions. The three dimensional Dirac spinor structure admits a…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Pallab Goswami , Bitan Roy

We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at…

Statistical Mechanics · Physics 2007-05-23 F. De Pasquale , S. M. Giampaolo

The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Some examples are…

Nuclear Theory · Physics 2021-11-02 J. A. Sheikh , J. Dobaczewski , P. Ring , L. M. Robledo , C. Yannouleas

In this work we propose a theoretical and computational framework for solving the three dimensional inverse medium scattering problem, based on a set of data-driven basis arising from the linearized problem. This set of data-driven basis…

Numerical Analysis · Mathematics 2026-01-27 Yuyuan Zhou , Lorenzo Audibert , Shixu Meng , Bo Zhang

A quantum model is considered for $N$ bosons populating two orthogonal single-particle modes with tunable energy separation in the presence of flavour-changing contact interaction. The quantum ground state is well approximated as a coherent…

Quantum Gases · Physics 2022-09-01 Andreas Hemmerich

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

We consider a non-isothermal multi-phase field model. We subsequently discretize implicitly in time and with linear finite elements. The arising algebraic problem is formulated in two variables where one is the multi-phase field, and the…

Numerical Analysis · Mathematics 2016-05-13 Carsten Gräser , Max Kahnt , Ralf Kornhuber

We investigate topological properties and classification of mean-field theories of stable bosonic systems. Of the three standard classifying symmetries, only time-reversal represents a real symmetry of the many-boson system, while the other…

Mesoscale and Nanoscale Physics · Physics 2020-09-18 Qiao-Ru Xu , Vincent P. Flynn , Abhijeet Alase , Emilio Cobanera , Lorenza Viola , Gerardo Ortiz

Nonstoichiometric ceria(CeO$_{2-\delta}$) is a candidate reaction medium to facilitate two step water splitting cycles and generate hydrogen. Improving upon its thermodynamic suitability through doping requires an understanding of its…

Materials Science · Physics 2012-10-17 Chirranjeevi Balaji Gopal , Axel van de Walle

The one-dimensional transverse field Ising model is solved by continuous unitary transformations in the high-field limit. A high accuracy is reached due to the closure of the relevant algebra of operators which we call string operators. The…

Strongly Correlated Electrons · Physics 2013-05-14 Benedikt Fauseweh , Götz S. Uhrig

For a condensate in a one-dimensional ring geometry, we compare the thermodynamic properties of three conceptually different classical field techniques: stochastic dynamics, microcanonical molecular dynamics, and the classical field method.…

Other Condensed Matter · Physics 2007-05-23 A. Nunnenkamp , J. N. Milstein , K. Burnett

The (2+1)-dimensional generalized massless Thirring model with 4-component Fermi-fields is investigated by the Hartree-Fock method. The Lagrangian of this model is constructed from two different four-fermion structures. One of them takes…

High Energy Physics - Theory · Physics 2022-10-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

We propose a new mean-field-type framework which can treat the strong correlation induced by the tensor force. To treat the tensor correlation we break the charge and parity symmetries of a single-particle state and restore these symmetries…

Nuclear Theory · Physics 2009-11-10 Satoru Sugimoto , Kiyomi Ikeda , Hiroshi Toki