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Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range of imaging modalities. Here, we derive the ways in which…

Phases manifesting topological patterns in functional systems, like ferroelectric and ferromagnetic vortex superlattices, can manifest intricate and apparently ungovernable behavior, typical of frustrated non-ergodic states with…

Statistical Mechanics · Physics 2025-10-01 Ludovica Falsi , Pablo Villegas , Tommaso Gili , Aharon J. Agranat , Eugenio DelRe

Aiming at a better understanding of anomalous and topological effects in gauge theories out-of-equilibrium, we study the real-time dynamics of a prototype model for CP-violation, the massive Schwinger model with a $\theta$-term. We identify…

Quantum Physics · Physics 2019-02-13 T. V. Zache , N. Mueller , J. T. Schneider , F. Jendrzejewski , J. Berges , P. Hauke

We studied phase separation in a particle interacting system under a large drive along x. We here identify the basic growth mechanisms, and demonstrate time self-similarity, finite-size scaling, as well as other interesting features of both…

Statistical Mechanics · Physics 2009-11-07 Pablo I. Hurtado , J. Marro , E. V. Albano

Dislocations corresponding to a change of stacking in two-dimensional hexagonal bilayers, graphene and boron nitride, and associated with boundaries between commensurate domains are investigated using the two-chain Frenkel-Kontorova model…

Mesoscale and Nanoscale Physics · Physics 2016-06-14 Irina V. Lebedeva , Alexander V. Lebedev , Andrey M. Popov , Andrey A. Knizhnik

We investigate thermal and isothermal symmetric liquid-vapor separations via a FFT-Thermal Lattice Boltzmann (FFT-TLB) model. Structure factor, domain size and Minkowski functionals are employed to characterize the density and velocity…

Soft Condensed Matter · Physics 2015-05-20 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Yingjun Li

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello

Biomolecular conformational transitions are usually modeled as barrier crossings in a free energy landscape. The transition paths connect two local free energy minima and transition path times (TPT) are the actual durations of the crossing…

Statistical Mechanics · Physics 2021-10-26 Michele Caraglio , Takahiro Sakaue , Enrico Carlon

We analyze a one-dimensional quantum model with off-diagonal disorder, consisting of a sequence of potential energy barriers whose width is a random variable either uniformly or "half-normally" distributed, subjected to an external electric…

Statistical Mechanics · Physics 2015-06-15 Matteo Colangeli , Marco Pizzi , Lamberto Rondoni

We prove a metric space scaling limit for a critical random graph with independent and identically distributed degrees having power-law tail behaviour with exponent $\alpha+1$, where $\alpha \in (1,2)$. The limiting components are…

Probability · Mathematics 2021-08-02 Guillaume Conchon--Kerjan , Christina Goldschmidt

We study at T=0 the minimum energy of a domain wall and its gap to the first excited state concentrating on two-dimensional random-bond Ising magnets. The average gap scales as $\Delta E_1 \sim L^\theta f(N_z)$, where $f(y) \sim [\ln…

Statistical Mechanics · Physics 2009-11-07 E. T. Seppälä , M. J. Alava , P. M. Duxbury

Activity-mediated unjamming of a confluent glassy system is crucial for several biological processes, such as embryogenesis and cancer metastasis. During these processes, the cells progressively change their junction properties,…

Soft Condensed Matter · Physics 2025-05-13 Souvik Sadhukhan , Chandan Dasgupta , Saroj Kumar Nandi

We present phase diagrams, free-energy landscapes, and order-parameter distributions for a model spin-crossover material with a two-step transition between the high-spin and low-spin states (a square-lattice Ising model with…

Materials Science · Physics 2017-12-01 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

We study effects of higher-order antinematic interactions on the critical behavior of the antiferromagnetic (AFM) $XY$ model on a triangular lattice, using Monte Carlo simulations. The parameter $q$ of the generalized antinematic (ANq)…

Statistical Mechanics · Physics 2021-09-01 M. Lach , M. Žukovič

We consider the non-equilibrium dynamics of disordered systems as defined by a master equation involving transition rates between configurations (detailed balance is not assumed). To compute the important dynamical time scales in…

Disordered Systems and Neural Networks · Physics 2010-02-15 Cecile Monthus , Thomas Garel

We study, using simulations the dynamical properties of complex ferromagnetic granular materials. The system of grains is modeled by a disordered two-dimensional lattice in which the grains are embedded, while the magnitude and direction of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Ran Itay , Shlomo Havlin , Richard Berkovits

The effect of confinement in the segmental relaxation of polymers is considered. On the basis of a thermodynamic model we discuss the emerging relevance of the fast degrees of freedom in stimulating the much slower segmental relaxation, as…

Soft Condensed Matter · Physics 2015-05-13 Marco Pieruccini , Tiberio A. Ezquerra

The Dyson hierarchical one-dimensional Ising model of parameter $\sigma>0$ contains long-ranged ferromagnetic couplings decaying as $1/r^{1+\sigma}$ in terms of the distance $r$. We study the stochastic dynamics near zero-temperature via…

Statistical Mechanics · Physics 2013-02-15 Cecile Monthus , Thomas Garel

We present new algorithm for growth of non-clustered planar graphs by aggregation of cells with given distribution of size and constraint of connectivity k=3 per node. The emergent graph structures are controlled by two parameters--chemical…

Statistical Mechanics · Physics 2007-05-23 Milovan Suvakov , Bosiljka Tadic

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo