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We consider a disordered asymmetric exclusion process in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. We solve the steady state…

Statistical Mechanics · Physics 2009-11-10 M. R. Evans , T. Hanney , Y. Kafri

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

We propose a spin model with quenched disorder which exhibits in slow driving two drastically different types of critical nonequilibrium steady states. One of them corresponds to classical criticality requiring fine-tuning of the disorder.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Francisco-Jose Perez-Reche , Lev Truskinovsky , Giovanni Zanzotto

We study Barkhausen noise in a diluted two-dimensional Ising model with the extended domain wall and weak random fields occurring due to coarse graining. We report two types of scaling behavior corresponding to (a) low disorder regime where…

Statistical Mechanics · Physics 2009-10-31 Bosiljka Tadić

Motivated by the collective behaviour of biological swarms, we study the critical dynamics of field theories with coupling between order parameter and conjugate momentum in the presence of dissipation. By performing a dynamical…

Statistical Mechanics · Physics 2020-01-01 Andrea Cavagna , Luca Di Carlo , Irene Giardina , Luca Grandinetti , Tomas S. Grigera , Giulia Pisegna

We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long range…

Statistical Mechanics · Physics 2009-10-30 O. J. O'Loan , M. R. Evans , M. E. Cates

Far from equilibrium, neural systems self-organize across multiple scales. Exploiting multiscale self-organization in neuroscience and artificial intelligence requires a computational framework for modeling the effective non-equilibrium…

Neurons and Cognition · Quantitative Biology 2025-10-09 Nathan X. Kodama

We elucidate a non-conserved relaxational nonequilibrium dynamics of a O(2) symmetric model. We drive the system out of equilibrium by introducing a non-zero noise cross-correlation of amplitude $D_\times$ in a stochastic Langevin…

Statistical Mechanics · Physics 2012-02-14 Niladri Sarkar , Abhik Basu

We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling…

Statistical Mechanics · Physics 2009-06-27 M. D. Grynberg , G. L. Rossini , R. B. Stinchcombe

A classification of critical behavior is provided in systems for which the renormalization group equations are control-parameter dependent. It describes phase transitions in networks with a recursive, hierarchical structure but appears to…

Statistical Mechanics · Physics 2015-05-12 Stefan Boettcher , Trent Brunson

We numerically examine the dynamic phases and pattern formation of two-dimensional monodisperse repulsive disks driven over random quenched disorder. We show that there is a series of distinct dynamic regimes as a function of increasing…

Soft Condensed Matter · Physics 2017-04-19 Y. Yang , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

Motivated by experimental observations of patterning at the leading edge of motile eukaryotic cells, we introduce a general model for the dynamics of nearly-flat fluid membranes driven from within by an ensemble of activators. We include,…

Statistical Mechanics · Physics 2022-02-09 Francesco Cagnetta , Viktor Skultety , Martin R. Evans , Davide Marenduzzo

Stochastic dynamics of a nonconserved scalar order parameter near its critical point, subject to random stirring and mixing, is studied using the field theoretic renormalization group. The stirring and mixing are modelled by a random…

Statistical Mechanics · Physics 2009-11-11 N. V. Antonov , M. Hnatich , J. Honkonen

We numerically examine the driven transport of an overdamped self-propelled particle through a two-dimensional array of circular obstacles. A detailed analysis of transport quantifiers (mobility and diffusivity) has been performed for two…

Soft Condensed Matter · Physics 2023-10-16 Shubhadip Nayak , Sohom Das , Poulami Bag , Tanwi Debnath , Pulak K. Ghosh

We study the statics and dynamics of an elastic manifold in a disordered medium with quenched defects correlated as r^{-a} for large separation r. We derive the functional renormalization-group equations to one-loop order, which allow us to…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrei A. Fedorenko , Pierre Le Doussal , Kay Joerg Wiese

Results for transport properties, in conjunction with phase behavior and thermodynamics, are presented at the criticality of a binary Lennard-Jones fluid from Monte Carlo and molecular dynamics simulations. Evidence for much stronger…

Statistical Mechanics · Physics 2018-04-17 Sutapa Roy , Subir K. Das

One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible state at low amplitude of the driving…

Statistical Mechanics · Physics 2016-03-30 Elsen Tjhung , Ludovic Berthier

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

We develop a perturbative renormalization-group method in real time to describe nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We include energy broadening and dissipation and develop a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Herbert Schoeller , Jürgen König
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