Topology protects chiral edge currents in stochastic systems

Classés selon la proximité de leur titre et de leur résumé avec ceux de cet article. Sélectionnez-en pour les lire ensemble.

Les articles les plus proches

1. Proche Pas pertinent

   Field Theory of Birhythmicity

   Sergei Shmakov, Peter B. Littlewood · 2025 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Non-equilibrium dynamics are present in many aspects of our lives, ranging from microscopic physical systems to the functioning of the brain. What characterizes stochastic models of non-equilibrium processes is the breaking of the fluctuation-dissipation relations as well as the existence of non-static stable states, or phases. A prototypical example is a dynamical phase characterized by a limit cycle - the order parameter of finite magnitude rotating or oscillating at a fixed frequency. Consequently, birhythmicity, where two stable limit cycles coexist, is a natural extension of the simpler single limit cycle phase. Both the abundance of real systems exhibiting such states as well as their …

2. Proche Pas pertinent

   Topological defects in two-dimensional crystals

   Yong Chen, Wei-Kai Qi · 2008 · Mécanique statistique · Pas encore résumé

   Résumé scientifique

   By using topological current theory, we study the inner topological structure of the topological defects in two-dimensional (2D) crystal. We find that there are two elementary point defects topological current in two-dimensional crystal, one for dislocations and the other for disclinations. The topological quantization and evolution of topological defects in two-dimensional crystals are discussed. Finally, We compare our theory with Brownian-dynamics simulations in 2D Yukawa systems.

3. Apparenté Pas pertinent

   First-order transition and marginal critical behavior in a novel 2D frustrated Ising model

   Christophe Chatelain · 2024 · Phys. Rev. E 111, 024109 (2024) · Résumé IA disponible

   Résumé scientifique

   The phase diagram of a novel two-dimensional frustrated Ising model with both anti-ferromagnetic and ferromagnetic couplings is studied using Tensor-Network Renormalization-Group techniques. This model can be seen as two anti-ferromagnetic Ising replicas coupled by non-local spin-spin interactions, designed in such a way that the continuum limit matches that of the still debated J1 -J2 model and induces a marginal critical behavior. Our model has the advantage of having more symmetries than the J1 -J2 model and of allowing a more straightforward implementation of Tensor-Network Renormalization-Group algorithms We demonstrate the existence of two transition lines, featuring both first and sec…

4. Apparenté Pas pertinent

   Fluctuation-induced spin nematic order in magnetic charge-ice

   A. Hemmatzade, K. Essafi, M. Taillefumier et al. · 2023 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Disorder in materials may be used to tune their functionalities, but much more strikingly, its presence can entail entirely new behavior. This happens in charge-ice where structural disorder is not weak and local, but strong and long-range correlated. Here, two cations of different charge occupy a pyrochlore lattice, arranging themselves such that all tetrahedra host two cations of each type. The ensuing correlated disorder is characterized by randomly packed loops of a single cation-type. If the cations are magnetic and interact antiferromagnetically, a new type of magnet with strong interactions along the loops, but frustrated interactions between loops, emerges. This results in an ensembl…

5. Apparenté Pas pertinent

   Classical limit of measurement-induced transition in many-body chaos in integrable and non-integrable oscillator chains

   Sibaram Ruidas, Sumilan Banerjee · 2022 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We discuss the dynamics of integrable and non-integrable chains of coupled oscillators under continuous weak position measurements in the semiclassical limit. We show that, in this limit, the dynamics is described by a standard stochastic Langevin equation, and a measurement-induced transition appears as a noise- and dissipation-induced chaotic-to-non-chaotic transition akin to stochastic synchronization. In the non-integrable chain of anharmonically coupled oscillators, we show that the temporal growth and the ballistic light-cone spread of a classical out-of-time correlator characterized by the Lyapunov exponent and the butterfly velocity, are halted above a noise or below an interaction s…

6. Apparenté Pas pertinent

   Continuously varying exponents in the distribution of waiting times in the symmetric exclusion process on a percolation cluster

   Arpan Chatterjee, Kabir Ramola, Deepak Dhar · 2026 · Mécanique statistique · Pas encore résumé

   Résumé scientifique

   We study the waiting-time distribution of hard-core interacting particles in the symmetric exclusion process on one- and two-dimensional lattices with side branches attached to each lattice site in the steady state. We use numerical simulations together with an approximate analytical treatment of particles trapped in side branches in the steady state. Such a two-dimensional carpet serves as a simplified model for trapping of a supercritical percolation cluster. At high particle densities, the system exhibits strong dynamical heterogeneity, with the distribution of logarithms of waiting times developing well-separated peaks corresponding to particles trapped at different depths from the backb…

7. Apparenté Pas pertinent

   Large deviation full counting statistics in adiabatic open quantum dynamics

   Paulo J. Paulino, Igor Lesanovsky, Federico Carollo · 2024 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the average dynamics of the open system. However, information about fluctuations of dynamical observables, such as the number of photons emitted or the time-integrated stochastic entropy production in single experimental runs, requires controlling the whole spectrum of the generator and not only the stationary state. Here, we show how such information can be obtained in adiabatic open quantum dynamics by exploiting tools from large deviation theory. We prove …

8. Apparenté Pas pertinent

   System size expansion using Feynman rules and diagrams

   Philipp Thomas, Christian Fleck, Ramon Grima et al. · 2014 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Few analytical methods exist for quantitative studies of large fluctuations in stochastic systems. In this article, we develop a simple diagrammatic approach to the Chemical Master Equation that allows us to calculate multi-time correlation functions which are accurate to a any desired order in van Kampen's system size expansion. Specifically, we present a set of Feynman rules from which this diagrammatic perturbation expansion can be constructed algorithmically. We then apply the methodology to derive in closed form the leading order corrections to the linear noise approximation of the intrinsic noise power spectrum for general biochemical reaction networks. Finally, we illustrate our resul…