Mabillard, Joël Gaspard, Pierre
Published in
Journal of Statistical Mechanics: Theory and Experiment

We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characterizing the fluctuations of mass and momentum densities. We show that the seven hydrodynamic modes of the perfect crystal can be identified from the resonances of these spec...

Mussardo, Giuseppe Panero, Marco Stampiggi, Andrea
Published in
Journal of Statistical Mechanics: Theory and Experiment

We compute the form factors of the order and disorder operators, together with those of the stress–energy tensor, of a two-dimensional three-state Potts model with vacancies along its thermal deformation at the critical point. At criticality, the model is described by the non-diagonal partition function of the unitary minimal model M6,7 of conforma...

Stepanyan, Varazdat Tzortzakakis, Andreas F Petrosyan, David Allahverdyan, Armen E
Published in
Journal of Statistical Mechanics: Theory and Experiment

We revisit the one-dimensional ferromagnetic Ising spin chain with a finite number of spins and periodic boundaries, deriving analytically and verifying numerically its various stationary and dynamical properties at different temperatures. In particular, we determine the probability distributions of magnetization, the number of domain walls, and th...

Göhmann, Frank Kozlowski, Karol K
Published in
Journal of Statistical Mechanics: Theory and Experiment

This work proposes a closed formula for the leading term of the large-distance and long-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures. The result follows from a simple analysis of the thermal form factor series for dynamical correlation functions...

Hübner, Friedrich
Published in
Journal of Statistical Mechanics: Theory and Experiment

This study focuses on the impurities in integrable models from the viewpoint of generalized hydrodynamics (GHD). An impurity can be thought of as a boundary condition for the GHD equation, relating the states on the left and right sides. It was found that, in interacting models, it is not possible to disentangle the incoming and outgoing states, wh...

Rocha, J C S Costa, B V
Published in
Journal of Statistical Mechanics: Theory and Experiment

Phase transitions are one of the most interesting natural phenomena. For finite systems, one of the concerns in the topic is how to classify a specific transition as a being of first, second, or even of a higher order according to the Ehrenfest classification. The partition function provides all the thermodynamic information about the physical syst...

Gleria, Iram DaSilva, Sergio Brenig, Leon Rocha Filho, Tarcísio M Figueiredo, Annibal
Published in
Journal of Statistical Mechanics: Theory and Experiment

In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model, which together simulate population dynamics and the role of economic variables. The model incorporates support and foraging functions, which participate in the dynamic r...

Kayacan, O Middendorf, M
Published in
Journal of Statistical Mechanics: Theory and Experiment

A three-species predator–prey system with cyclic predator–prey relations (also called the rock–paper–scissors game) on a one-dimensional lattice where all individuals migrate in the same direction is studied. Each individual can look ahead within a certain range and can stop its migration when too many predators occur within its lookahead range. Si...

Costantini, G Puglisi, A
Published in
Journal of Statistical Mechanics: Theory and Experiment

Inspired by recent experiments on fluctuations of flagellar beating in sperm and C. reinhardtii, we investigate the precision of phase fluctuations in a system of nearest-neighbor-coupled molecular motors. We model the system as a Kuramoto chain of oscillators with a coupling constant k and noisy driving. The precision p is a Fano-factor-like obser...

Gómez González, Rubén Garzó, Vicente
Published in
Journal of Statistical Mechanics: Theory and Experiment

The Enskog kinetic equation is considered to determine the diffusion D and mobility λ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a thermal bath, which plays the role of a background gas. As usual, the influence of the latter on the dynamics of intruders...