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We identify the fluctuations of the partition function for a class of random energy models, where the energies are given by the positions of the particles of the complex-valued branching Brownian motion (BBM). Specifically, we provide the…

Probability · Mathematics 2015-10-28 Lisa Hartung , Anton Klimovsky

We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. We developed a classical method of the partition function evaluation. We calculated the partition function and heat…

Quantum Physics · Physics 2009-11-13 Taras Fityo

Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Xingyu Guo , Hongxi Xing , Zheng-Yuan Xue , Dan-Bo Zhang , Shi-Liang Zhu

We study the directed polymer of length $t$ in a random potential with fixed endpoints in dimension 1+1 in the continuum and on the square lattice, by analytical and numerical methods. The universal regime of high temperature $T$ is…

Disordered Systems and Neural Networks · Physics 2015-05-18 Pasquale Calabrese , Pierre Le Doussal , Alberto Rosso

Using the valence force field model of Perebeinos and Tersoff [Phys. Rev. B {\bf79}, 241409(R) (2009)], different energy modes of suspended graphene subjected to tensile or compressive strain are studied. By carrying out Monte Carlo…

Materials Science · Physics 2015-06-04 A. Lajevardipour , M. Neek-Amal , F. M. Peeters

We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice models. The first method is based on purification, which allows…

Statistical Mechanics · Physics 2024-04-16 D. Wagner , A. Klümper , J. Sirker

We present a flexible density-matrix renormalization group approach to calculate finite-temperature spectral functions of one-dimensional strongly correlated quantum systems. The method combines the purification of the finite-temperature…

Strongly Correlated Electrons · Physics 2014-09-02 Alexander C. Tiegel , Salvatore R. Manmana , Thomas Pruschke , Andreas Honecker

We extend our study of thermodynamics of a Kubo particle to temperatures smaller than the interlevel spacing. We obtain the distribution functions of spin susceptibility and heat capacity for Poisson and Wigner-Dyson level statistics. We…

Condensed Matter · Physics 2009-10-28 S. Sitotaw , R. A. Serota

Artificial neural networks built from two-state neurons are powerful computational substrates, whose computational ability is well understood by analogy with statistical mechanics. In this work, we introduce similar analogies in the context…

Neural and Evolutionary Computing · Computer Science 2010-09-29 Paul Merolla , Tristan Ursell , John Arthur

Imperfections in correlated materials can alter their ground state as well as finite-temperature properties in significant ways. Here, we develop a method based on numerical linked-cluster expansions for calculating exact finite-temperature…

Strongly Correlated Electrons · Physics 2019-05-15 Michael Mulanix , Demetrius Almada , Ehsan Khatami

We study the partition function and free energy of the Curie-Weiss model with complex temperature, and partially describe its phase transitions. As a consequence, we obtain information on the locations of zeros of the partition function.

Probability · Mathematics 2019-07-11 Mira Shamis , Ofer Zeitouni

A particular, two-dimensional, tiling model, composed by the so called Wang tiles has been studied at finite temperature by Monte Carlo numerical simulations. In absence of any thermal bath the Wang tiles give the opportunity of building a…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Leuzzi , G. Parisi

We derive a closed-form combinatorial expression for the number of states in canonical systems with discrete energy levels. The expression results from the exact low-temperature power series expansion of the partition function. The approach…

Statistical Mechanics · Physics 2014-09-23 Agata Fronczak , Piotr Fronczak

Within the tensor network framework, the (positive) thermal density operator can be approximated by a double layer of infinite Projected Entangled Pair Operator (iPEPO) coupled via ancilla degrees of freedom. To investigate the thermal…

Strongly Correlated Electrons · Physics 2021-02-03 Didier Poilblanc , Matthieu Mambrini , Fabien Alet

In this paper we present exact calculations of the partition function $Z$ of the $q$-state Potts model and its generalization to real $q$, for arbitrary temperature on $n$-vertex strip graphs, of width $L_y=2$ and arbitrary length, of the…

Statistical Mechanics · Physics 2009-10-31 Shu-Chiuan Chang , Robert Shrock

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and…

Statistical Mechanics · Physics 2019-01-30 Simone Borlenghi , Anna Delin

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas…

High Energy Physics - Phenomenology · Physics 2016-02-17 Krzysztof Redlich , Kacper Zalewski

The distribution of the gluon action density in mesonic systems is investigated at finite temperature. The simulations are performed in quenched QCD for two temperatures below the deconfinment phase. Unlike the gluonic profiles displayed at…

High Energy Physics - Lattice · Physics 2015-03-14 A. S. Bakry , D. B. Leinweber , P. J. Moran , A. Sternbeck , A. G. Williams

The concepts of weighted reciprocal of temperature and weighted thermal flux are proposed for a heat engine operating between two heat baths and outputting mechanical work. With the aid of these two concepts, the generalized thermodynamic…

Statistical Mechanics · Physics 2014-01-23 Shiqi Sheng , Z. C. Tu

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

Information Theory · Computer Science 2007-07-16 Oded Kafri