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Heavy quark potentials are investigated at high temperatures. The temperature range covered by the analysis extends from $T$ values just below the deconfinement temperature up to about $4 T_c$ in the deconfined phase. We simulated the pure…

High Energy Physics - Lattice · Physics 2009-10-31 Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Martin Lutgemeier

We compute analytically the diagonal quark number susceptibilities for a quark-gluon plasma at finite temperature and zero chemical potential, and compare with recent lattice results. The calculation uses the approximately self-consistent…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. -P. Blaizot , E. Iancu , A. Rebhan

We study non-perturbative real time correlation functions at finite temperature. In order to see whether the classical term gives a good approximation in the high temperature limit T >> \hbar\omega, we consider the first \hbar^2 quantum…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Bodeker , M. Laine , O. Philipsen

We derive low-temperature series (in the variable $u = \exp[-\beta J/S^2]$) for the spontaneous magnetisation, susceptibility and specific heat of the spin-$S$ Ising model on the square lattice for $S=\frac32$, 2, $\frac52$, and 3. We…

Condensed Matter · Physics 2009-10-28 I Jensen , A J Guttmann , I G Enting

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance $r$…

High Energy Physics - Lattice · Physics 2013-05-30 Alexander Rothkopf , Tetsuo Hatsuda , Shoichi Sasaki

The thermal and mechanical stability of graphene is important for many potential applications in nanotechnology. We calculate the temperature dependence of lattice parameter, elastic properties and heat capacity by means of atomistic Monte…

Materials Science · Physics 2009-11-13 K. V. Zakharchenko , M. I. Katsnelson , A. Fasolino

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing correlation function, $P_s$. These quantities have…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar , P. J. H. Denteneer

Interacting bosons in optical lattices directly expose quantum phases in a clean, highly controllable environment. This requires engineering systems with very low entropies, but the resulting temperature--interaction ratios $T/U$ of present…

Quantum Gases · Physics 2025-12-22 M. Rodríguez Martín , T. A. Zaleski

The finite lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the spin-1 Ising model on the square lattice. A new formalism is described that…

High Energy Physics - Lattice · Physics 2011-07-19 I. G. Enting , A , J. Guttmann , I. Jensen

Finite temperature density functional theory provides, in principle, an exact description of the thermodynamical equilibrium of many-electron systems. In practical applications, however, the functionals must be approximated. Efficient and…

Statistical Mechanics · Physics 2015-05-19 S. Pittalis , C. R. Proetto , A. Floris , A. Sanna , C. Bersier , K. Burke , E. K. U. Gross

The finite temperature phase diagram is obtained for an infinite honeycomb lattice with spin-$1/2$ Ising interaction $J$ by using thermal-state fidelity and von Neumann entropy based on the infinite projected entangled pair state algorithm…

Strongly Correlated Electrons · Physics 2017-06-21 Yan-Wei Dai , Qian-Qian Shi , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

We have developed a series expansion method for calculating the zero-temperature properties of lattice electron models for variable electron density, i.e. for finite doping away from the half-filled case. This is done by introducing…

Strongly Correlated Electrons · Physics 2007-05-23 Zheng Weihong , C. J. Hamer , J. Oitmaa , R. R. P. Singh

We present results for the equation of state upto previously unreachable, high temperatures. Since the temperature range is quite large, a comparison with perturbation theory can be done directly.

High Energy Physics - Lattice · Physics 2008-11-26 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We report some new results on the complex-temperature (CT) singularities of $q$-state Potts models on the square lattice. We concentrate on the problematic region $Re(a) < 0$ (where $a=e^K$) in which CT zeros of the partition function are…

Condensed Matter · Physics 2014-10-13 Victor Matveev , Robert Shrock

We give a sufficient condition on a family of radial parametrized long-range potentials for a compact local minimality of a given $d$-dimensional Bravais lattice for its total energy of interaction created by each potential. This work is…

Statistical Mechanics · Physics 2015-11-16 Laurent Bétermin

We show a diffusive upper bound on the transition probability of a tagged particle in the symmetric simple exclusion process. The proof relies on optimal spectral gap estimates for the dynamics in finite volume, which are of independent…

Probability · Mathematics 2018-04-27 Arianna Giunti , Yu Gu , Jean-Christophe Mourrat

Using quantitative perturbation theory for linear operators, we prove spectral gap for transfer operators of various families of intermittent maps with almost constant potentials ("high-temperature" regime). H\"older and bounded p-variation…

Dynamical Systems · Mathematics 2017-09-14 Benoît Kloeckner

The operator $e^{-tA}$ and its trace are investigated in the case when $A$ is a non-self-adjoint elliptic differential operator on a manifold with conical singularities. Under a certain spectral condition (parameter-ellipticity) we obtain a…

Analysis of PDEs · Mathematics 2023-10-24 Juan B. Gil

Extracting reliable information on certain physical properties of materials, like thermal behavior, such as thermal transport, which can be very computationally demanding. Aiming to overcome such difficulties in the particular case of…

This manuscript explores the apparent discrepancy between experimental data and theoretical calculations of the lattice resistance of bcc tantalum. We present the first results for the temperature dependence of the Peierls stress in this…

Materials Science · Physics 2016-08-31 D. E. Segall , Alejandro Strachan , Sohrab Ismail-Beigi , William A. Goddard , T. A. Arias