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We show how to use the lattice Green function to calculate capacitances in two dimensions with boundary conditions at infinity. It is shown how to calculate coefficients of capacitance and induction from the lattice Green function. A…

Other Condensed Matter · Physics 2007-05-23 Stefan Hollos , Richard Hollos

A formal proof to relate the concept of electromagnetic local density of states (LDOS) to the electric and magnetic dyadic Green's functions is provided. The expression for LDOS is obtained by relating the electromagnetic energy density at…

Other Condensed Matter · Physics 2011-04-13 Arvind Narayanaswamy , Gang Chen

We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension $d$, through the 13th order. These calculations are based on our recent extension to…

High Energy Physics - Lattice · Physics 2015-10-22 P. Butera , M. Pernici

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

Novel intrinsic two-dimensional materials have attracted many researchers' attention. The unusual transport and optical properties of these materials originate mainly from triangular lattices (TLs). Therefore, the application of energy…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 David M T Kuo

We develop analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasma mixtures. In the regime of strong Coulomb coupling, we use our previously developed analytic approximations for the free energy of…

Plasma Physics · Physics 2009-02-12 A. Y. Potekhin , G. Chabrier , F. J. Rogers

We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

Statistical Mechanics · Physics 2013-05-30 Matthias Ohliger , Axel Pelster

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures…

Soft Condensed Matter · Physics 2016-08-31 M. Mercedes Calbi , Silvina M. Gatica , Mary J. Bojan , Milton W. Cole

We report on the derivation of determinant representations for the Green's functions and spectral function of the trapped Tonks-Girardeau gas on the lattice and in the continuum. Our results are valid for any type of statistics of the…

Quantum Gases · Physics 2023-04-12 Ovidiu I. Patu

Thermodynamic quantities of Coulomb plasmas consisting of point-like ions immersed in a compressible, polarizable electron background are calculated for ion charges Z=1 to 26 and for a wide domain of plasma parameters ranging from the…

Plasma Physics · Physics 2016-09-08 G. Chabrier , A. Y. Potekhin

We give a systematic treatment of lattice Green functions (LGF) on the $d$-dimensional diamond, simple cubic, body-centred cubic and face-centred cubic lattices for arbitrary dimensionality $d \ge 2$ for the first three lattices, and for $2…

Mathematical Physics · Physics 2014-11-20 Anthony J Guttmann

We investigate the basic thermal, mechanical and structural properties of body centred cubic iron ($\alpha$-Fe) at several temperatures and positive loading by means of Molecular Dynamics simulations in conjunction with the embedded-atom…

Materials Science · Physics 2017-02-17 Kostadin G. Gaminchev

By making use of the double-time Green function technique, we study thermodynamics of a deformed Bose gas, which describes well properties of density intensive photonic gas and radiation fields of the early universe. General form of…

Condensed Matter · Physics 2007-05-23 Zhe Chang , Shao-Xia Chen

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

Pump-probe experiments and polarizing microscopy are applied to examine temperature and heat flow in metallic magnetic superlattices on glass substrates. A model of heat diffusion in thin layers for cylindrical symmetry, equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 F. Hoveyda , M. Adnani , S. Smadici

The increasing interest in nonequilibrium effects in condensed matter theory motivates the adaption of diverse equilibrium techniques to Keldysh formalism. For methods based on multi-particle Green or vertex functions this involves a…

Strongly Correlated Electrons · Physics 2010-03-03 Severin G. Jakobs , Mikhail Pletyukhov , Herbert Schoeller

There is a new class of two-dimensional magnetic materials polymeric iron (III) acetate fabricated recently in which Fe ions form a star lattice. We study the thermodynamics of Ising spins on the star lattice with exact analytic method and…

Strongly Correlated Electrons · Physics 2012-10-08 Zewei Chen , Nvsen Ma , Dao-Xin Yao

Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral…

Mathematical Physics · Physics 2007-05-23 Giuseppe Bimonte , Enrico Calloni , Luciano Di Fiore , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

We study classical binary fluid mixtures in which densities vary on very short time (ps) and length (nm) scales, such that hydrodynamics does not apply. In a pure fluid with a localized heat pulse the breakdown of hydrodynamics was overcome…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

The one-electron density of states for the half-filled Hubbard model on a triangular lattice is studied as a function of both temperature and Hubbard U using Quantum Monte Carlo. We find three regimes: (1) a strong-coupling Mott-Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. Refolio , J. M. Lopez Sancho , J. Rubio