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23.6k citations

Showing 2014 · cond-mat.stat-mechShow all

9 papers · 2 filters

cond-mat.stat-mech2014★ 11 cited

Potential Energy Landscape of the Two-Dimensional XY Model: Higher-Index Stationary Points

Dhagash Mehta, Ciaran Hughes, Michael Kastner +1

The application of numerical techniques to the study of energy landscapes of large systems relies on sufficient sampling of the stationary points. Since the number of stationary po…

cond-mat.stat-mech2014★ 8 cited

Operator formalism for topology-conserving crossing dynamics in planar knot diagrams

Christian M. Rohwer, Kristian K. Müller-Nedebock

We address here the topological equivalence of knots through the so-called Reidemeister moves. These topology-conserving manipulations are recast into dynamical rules on the crossi…

cond-mat.stat-mech2014★ 46 cited

Convergence of large deviation estimators

Christian M. Rohwer, Florian Angeletti, Hugo Touchette

We study the convergence of statistical estimators used in the estimation of large deviation functions describing the fluctuations of equilibrium, nonequilibrium, and manmade stoch…

cond-mat.stat-mech2014★ 105 cited

Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain

Johannes Kriel, Christoph Karrasch, Stefan Kehrein

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for th…

cond-mat.stat-mech2014★ 4 cited

General limit distributions for sums of random variables with a matrix product representation

Florian Angeletti, Eric Bertin, Patrice Abry

The general limit distributions of the sum of random variables described by a finite matrix product ansatz are characterized. Using a mapping to a Hidden Markov Chain formalism, no…

cond-mat.stat-mech2014★ 42 cited

Spreading of Perturbations in Long-Range Interacting Classical Lattice Models

David Métivier, Romain Bachelard, Michael Kastner

Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for inte…

cond-mat.stat-mech2014★ 324 cited

Nonequilibrium Markov processes conditioned on large deviations

Raphael Chetrite, Hugo Touchette

We consider the problem of conditioning a Markov process on a rare event and of representing this conditioned process by a conditioning-free process, called the effective or driven…

cond-mat.stat-mech2014★ 133 cited

Equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels

Hugo Touchette

We present general and rigorous results showing that the microcanonical and canonical ensembles are equivalent at all three levels of description considered in statistical mechanic…

cond-mat.stat-mech2014★ 8 cited

Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models

Michael Kastner, Mauritz van den Worm

We report analytic results for the correlation functions of long-range quantum Ising models in arbitrary dimension. In particular, we focus on the long-time evolution and the relev…