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We study the directed polymer model in dimension ${1+1}$ when the environment is heavy-tailed, with a decay exponent $\alpha\in(0,2)$. We give all possible scaling limits of the model in the weak-coupling regime, i.e., when the inverse…

Probability · Mathematics 2018-06-01 Quentin Berger , Niccolo Torri

Dependence of hopping conductance on temperature and voltage for an ensemble of modestly long one-dimensional wires is studied numerically using the shortest-path algorithm. In a wide range of parameters this dependence can be approximated…

Disordered Systems and Neural Networks · Physics 2010-09-20 A. S. Rodin , M. M. Fogler

We study the probability distribution and the escape rate in systems with delayed dissipation that comes from the coupling to a thermal bath. To logarithmic accuracy in the fluctuation intensity, the problem is reduced to a variational…

Statistical Mechanics · Physics 2015-06-04 M. I. Dykman , I. B. Schwartz

This paper explores a novel connection between a thermodynamic and a dynamical systems perspective on emergent dynamical order. We provide evidence for a conjecture that Hamiltonian systems with mixed chaos spontaneously find regular…

Adaptation and Self-Organizing Systems · Physics 2025-09-16 Pavel Chvykov , Jeremy England

We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of…

Statistical Mechanics · Physics 2022-12-02 Alessio Squarcini , Antonio Tinti

We investigate how temperature affects transport through large networks of nonlinear conductances with distributed thresholds. In monolayers of weakly-coupled gold nanocrystals, quenched charge disorder produces a range of local thresholds…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raghuveer Parthasarathy , Xiao-Min Lin , Klara Elteto , T. F. Rosenbaum , Heinrich M. Jaeger

The relaxational dynamics of 1+1 dimensional directed polymer in random potential is studied by Monte Carlo simulation. A series of temperature quench experiments is performed changing waiting times. Clear crossover from quasi-equilibrium…

Condensed Matter · Physics 2009-10-28 Hajime Yoshino

We study the process of heat transfer through an entangled pair of two-level system, demonstrating the role of quantum correlations in this nonequilibrium process. While quantum correlations generally degrade with increasing the temperature…

Quantum Physics · Physics 2015-05-28 Lian-Ao Wu , Dvira Segal

The first-principle theory of electron dephasing by disorder-induced two state fluctuators is developed. There exist two mechanisms of dephasing. First, dephasing occurs due to direct transitions between the defect levels caused by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. V. Afonin , J. Bergli , Y. M. Galperin , V. L. Gurevich , V. I. Kozub

We review well-known signatures of disorder in crystallographic and inelastic neutron scattering data. We show that these can arise from different types of disorder, corresponding to different values of the system entropy. Correlating the…

Materials Science · Physics 2023-08-15 Anthony E. Phillips , Helen C. Walker

Inspired by the avalanche scenario for many-body localization (MBL) instability, we reverse the conventional set-up and ask whether a large weakly-disordered chain can thermalize a smaller, strongly-disordered chain when the composite…

Statistical Mechanics · Physics 2026-01-21 Soumya Kanti Pal , C L Sriram , Shamik Gupta

Many seemingly different macroscopic systems (magnets, ferroelectrics, CDW, vortices,..) can be described as generic disordered elastic systems. Understanding their static and dynamics thus poses challenging problems both from the point of…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Bustingorry , A. B. Kolton , A. Rosso , W. Krauth , T. Giamarchi

When spatial constraint for the constituents (e.g., atom or particle) of system is once given, disordered structure for non-interacting system in equilibrium states is symmetric with respect to equiatomic composition. Meanwhile, when the…

Disordered Systems and Neural Networks · Physics 2018-03-12 Koretaka Yuge

We study the energy flow between a one dimensional oscillator and a chaotic system with two degrees of freedom in the weak coupling limit. The oscillator's observables are averaged over an initially microcanonical ensemble of trajectories…

Chaotic Dynamics · Physics 2015-06-26 M. V. S. Bonanca , M. A. M. de Aguiar

Discrete-spin systems with maximally random nearest-neighbor interactions that can be symmetric or asymmetric, ferromagnetic or antiferromagnetic, including off-diagonal disorder, are studied, for the number of states $q=3,4$ in $d$…

Disordered Systems and Neural Networks · Physics 2018-09-18 Bora Atalay , A. Nihat Berker

he thermal entanglement is generated by weakly interacting atoms with an isotropic spin-1 chain. The decoherence of the entanglement is mainly investigated. The effective Hamiltonian is analytically obtained by the approximation method of…

Quantum Physics · Physics 2015-05-14 Xiang Hao

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

The decoherence rate of a quantum dot coupled to a fluctuating environment described by a normal-metal superconductor junction is considered. The density-density correlator at low frequencies constitutes the kernel which enters the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rodolphe Guyon , Thierry Martin , Gordey B. Lesovik

We study heat conduction mediated by longitudinal phonons in one dimensional disordered harmonic chains. Using scaling properties of the phonon density of states and localization in disordered systems, we find non-trivial scaling of the…

Disordered Systems and Neural Networks · Physics 2020-03-11 Biswarup Ash , Ariel Amir , Yohai Bar-Sinai , Yuval Oreg , Yoseph Imry

We study the correlation functions of quantum spin $1/2$ ladders at finite temperature, under a magnetic field, in the gapless phase at various relevant temperatures $T\neq 0$, momentum $q$ and frequencies $\omega$. We compute those…

Strongly Correlated Electrons · Physics 2019-05-15 N. Kestin , T. Giamarchi