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We obtain an implicit equation for the correlation dimension of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating the correlation dimension for inertial particles suspended…

Fluid Dynamics · Physics 2015-05-14 Michael Wilkinson , Bernhard Mehlig , Kristian Gustavsson

Martensites subjected to quasistatic deformation are known to exhibit power law distributed acoustic emission in a broad range of scales, however, the origin of the observed scaling behavior and the mechanism of self-organization towards…

Materials Science · Physics 2025-07-08 Oğuz Umut Salman , Alphonse Finel , Lev Truskinovsky

We study the effect of correlations between impurity potentials in different layers on the Coulomb drag in a double-layer electron system. It is found that for strongly correlated potentials the drag in the diffusive regime is considerably…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. V. Gornyi , A. G. Yashenkin , D. V. Khveshchenko

We study the bi-dimensional $q$-Potts model with long-range bond correlated disorder. Similarly to [C. Chatelain, Phys. Rev. E 89, 032105], we implement a disorder bimodal distribution by coupling the Potts model to auxiliary…

Statistical Mechanics · Physics 2023-04-19 Francesco Chippari , Marco Picco , Raoul Santachiara

We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the…

Quantum Physics · Physics 2020-08-12 Haggai Landa , Marco Schiró , Grégoire Misguich

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

Superconductivity · Physics 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

We use the variational approximation with double Gaussian type trial wave-functional approximation, in which we use the square root of the dispersion of the zero-mode wave-function as an order parameter, to study the out of equilibrium…

High Energy Physics - Theory · Physics 2007-05-23 Hyeong-Chan Kim , Jae Hyung Yee

Low energy interactions between particles are often characterised by elastic scattering. Just as electrons undergo Thomson scattering with photons, dark matter particles may experience an analogous form of momentum exchange with dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Marco Baldi , Fergus Simpson

We examine run and tumble disks in two-dimensional systems where the particles also have a Magnus component to their dynamics. For increased activity, we find that the system forms a motility-induced phase-separated (MIPS) state with chiral…

Soft Condensed Matter · Physics 2023-10-27 B. Adorjani , A. Libal , C. Reichhardt , C. J. O. Reichhardt

Employing a renormalization group analysis that allows for an unbiased treatment of competing physical ingredients, we systematically trace how the interplay between Cooper pairing and disorder scatterings governs the emergence or…

Superconductivity · Physics 2026-02-27 Hua Zang , Jing Wang

The effects of weak point-like disorder on periodic systems at their upper critical dimension D_c for disorder are studied. The systems studied range from simple elastic systems with D_c=4 to systems with long range interactions with D_c=2…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Chitra , T. Giamarchi , P. Le Doussal

We investigate the emerging properties of quantum walks with temporal disorder engineered from a binary Markov chain with tailored correlation, $C$, and disorder strength, $r$. We show that when the disorder is weak -- $r \ll 1$ -- the…

Quantum Physics · Physics 2022-04-04 Marcelo A. Pires , Sílvio M. Duarte Queirós

Interacting quantum spin models are remarkably useful for describing different types of physical, chemical, and biological systems. Significant understanding of their equilibrium properties has been achieved to date, especially for the case…

Quantum Physics · Physics 2015-06-16 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

Quantum Physics · Physics 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

We derive exact results for stress correlations in near-crystalline systems in two and three dimensions. We study energy minimized configurations of particles interacting through Harmonic as well as Lennard-Jones potentials, for varying…

Soft Condensed Matter · Physics 2023-12-18 Roshan Maharana , Kabir Ramola

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

Condensed Matter · Physics 2009-10-28 Martin Ulmke , Richard T. Scalettar

We study the effects of quenched disorder on the first-order phase transition in the two-dimensional three-color Ashkin-Teller model by means of large-scale Monte Carlo simulations. We demonstrate that the first-order phase transition is…

Disordered Systems and Neural Networks · Physics 2015-06-09 Qiong Zhu , Xin Wan , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

Cosmological perturbations of sufficiently long wavelength admit a fluid dynamic description. We consider modes with wavevectors below a scale $k_m$ for which the dynamics is only mildly non-linear. The leading effect of modes above that…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 Diego Blas , Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

Via computer simulations we study kinetics of pattern formation in a two-dimensional active matter system. Self-propulsion in our model is incorporated via the Vicsek-like activity, i.e., particles have the tendency of aligning their…

Soft Condensed Matter · Physics 2020-08-26 Saikat Chakraborty , Subir K. Das

The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the…

Statistical Mechanics · Physics 2009-10-31 Tom Davis , John Cardy
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