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In this work, we present a detailed thermodynamic analysis of a bound quantum system: the Morse oscillator within the framework of Tsallis nonextensive statistics. Using the property of the bound spectrum (upper bound) of the Morse…

Statistical Mechanics · Physics 2025-11-04 Arpita Goswami

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

Realizing the potential for predictive density functional calculations of matter under extreme conditions depends crucially upon having an exchange-correlation (XC) free energy functional accurate over a wide range of state conditions.…

Materials Science · Physics 2018-02-21 Valentin V. Karasiev , James W. Dufty , S. B. Trickey

The thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential"…

High Energy Physics - Theory · Physics 2009-01-16 Wung-Hong Huang , Kuo-Wei Huang

For large but finite systems the static properties of the infinite ranged Sherrington-Kirkpatrick model are numerically investigated in the entire the glass regime. The approach is based on the modified Thouless-Anderson-Palmer equations in…

Disordered Systems and Neural Networks · Physics 2019-07-18 T. Plefka

We compute the full probability distribution of the moment of inertia $I \propto \sum_{i=1}^N \vec{r}_i^{\,2}$ of a gas of $N$ noninteracting bosons trapped in a harmonic potential $V(r) = (1/2)\, m\, \omega^2 r^2$, in all dimensions and at…

Statistical Mechanics · Physics 2025-11-18 Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

We present an exact field theoretical representation of the statistical mechanics of classical hard-core Coulomb systems. This approach generalizes the usual sine-Gordon theory valid for point-like charges or lattice systems to continuous…

Statistical Mechanics · Physics 2007-05-23 J. -M. Caillol , J. -L. Raimbault

We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz…

Superconductivity · Physics 2007-05-23 J. Ambjorn , A. Avakyan , T. Hakobyan , A. Sedrakyan

The "standard" Brownian motion master equation, used to describe thermal damping, is not completely positive, and does not admit a Monte Carlo method, important in numerical simulations. To eliminate both these problems one must add a term…

Quantum Physics · Physics 2009-11-13 Kurt Jacobs

We develop a fully microscopic theory for the calculations of the angle-dependent properties of unconventional superconductors under a rotated magnetic field. We employ the quasiclassical Eilenberger equations, and use a variation of the…

Superconductivity · Physics 2009-11-13 A. Vorontsov , I. Vekhter

We present results of the numerical simulation of the two-dimensional Thirring model at finite density and temperature. The severe sign problem is dealt with by deforming the domain of integration into complex field space. This is the first…

High Energy Physics - Lattice · Physics 2017-01-11 Andrei Alexandru , Gokce Basar , Paulo F. Bedaque , Gregory W. Ridgway , Neill C. Warrington

We consider a strongly interacting quantum dot connected to two leads held at quite different temperatures. Our aim is to study the behavior of the Kondo effect in the presence of large thermal biases. We use three different approaches,…

Mesoscale and Nanoscale Physics · Physics 2017-09-04 Miguel A. Sierra , David Sanchez , Rosa Lopez

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee

A Monte-Carlo approach to proton stopping in warm dense matter is implemented into an existing particle-in-cell code. The model is based on multiple binary-collisions among electron-electron, electron-ion and ion-ion, taking into account…

Plasma Physics · Physics 2017-02-22 D. Wu , X. T. He , W. Yu , S. Fritzsche

\textit{Ab initio} quantum Monte Carlo (QMC) methods in principle allow for the calculation of exact properties of correlated many-electron systems, but are in general limited to the simulation of a finite number of electrons $N$ in…

Statistical Mechanics · Physics 2021-04-21 Tobias Dornheim , Jan Vorberger

The zero-temperature random-field Ising model is solved analytically for magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established.…

Statistical Mechanics · Physics 2013-08-21 Thomas P Handford , Francisco J Pérez-Reche , Sergei N Taraskin

The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been directed towards realizing quantum simulators of the model, by interfering two weakly coupled…

Strongly Correlated Electrons · Physics 2022-08-17 Elisabeth Wybo , Michael Knap , Alvise Bastianello

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jonathan Machta

We provide a complete picture to the selfgravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations, analytic mean field methods (MF) and low density expansions. The system is shown to possess an infinite volume…

Astrophysics · Physics 2009-11-06 H. J. de Vega , N. S'anchez

A new computational method for finite-temperature properties of strongly correlated electrons is proposed by extending the variational Monte Carlo method originally developed for the ground state. The method is based on the path integral in…

Strongly Correlated Electrons · Physics 2016-06-10 Kensaku Takai , Kota Ido , Takahiro Misawa , Youhei Yamaji , Masatoshi Imada