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20022026
most citedThe Kernel Polynomial Method

1.1k citations

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cond-mat.stat-mech20261 cited

Dynamics of Aligning Active Matter: Mapping to a Schrödinger Equation and Exact Diagonalization

Tara Steinhöfel, Horst-Holger Boltz, Thomas Ihle

There has been recent interest in the relaxational modes of small-scale fully connected systems of aligning self-propelled particles (Spera et al., Phys. Rev. Lett. {\bf 132}: 0783…

cond-mat.stat-mech20261 cited

Spectral insights into active matter: Exceptional Points and the Mathieu equation

Horst-Holger Boltz, Thomas Ihle

We show that recent numerical findings of universal scaling relations in systems of noisy, aligning self-propelled particles by Kürsten [Kürsten, arXiv:2402.18711v2 [cond-mat.soft]…

cond-mat.stat-mech201743 cited

Giant Kovacs-Like Memory Effect for Active Particles

Rüdiger Kürsten, Vladimir Sushkov, Thomas Ihle

Dynamical properties of a Vicsek-like gas of self-propelled particles are investigated by means of kinetic theory and agent based simulations. While memory effects have been observ…

cond-mat.stat-mech2016

Discontinuous transitions in globally coupled potential systems with additive noise

Rüdiger Kürsten, Ulrich Behn

An infinite array of globally coupled overdamped constituents moving in a double-well potential with -th order saturation term under the influence of additive Gaussian white noi…

cond-mat.stat-mech200920 cited

Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions

Alexander Weiße

Microscopic models of classical degrees of freedom coupled to non-interacting fermions occur in many different contexts. Prominent examples from solid state physics are description…

cond-mat.stat-mech20061 cited

Partially ionized plasmas in electromagnetic fields

Dietrich Kremp, Dirk Semkat, Thomas Bornath +3

The interaction of partially ionized plasmas with an electromagnetic field is investigated using quantum statistical methods. A general statistical expression for the current densi…