378 citations · 4k across the 141 of their papers we have counts for
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Heterogeneous diffusion with recruitment and mortality
Esther D. Gutiérrez, Alexander López, R. K. Singh +3
We study a heterogeneous diffusion process with a position-dependent diffusion coefficient in the presence of independent recruitment and mortality. This framework generalises hete…
Heterogeneous planar diffusion with axisymmetric power-law decaying diffusion coefficient under stochastic resetting
Trifce Sandev, Sebastien Fumeron, Malte Henkel +1
We analyse two-dimensional isotropic heterogeneous diffusion with a radially decaying diffusion coefficient , subject to Poissonian stochastic resetting to the origin…
Ageing in the exact correlations of the voter model on a fractal
Malte Henkel
The exact behaviour of the enveloppes of the single-time and two-time correlators is found for the voter model on a fractal substrate, with nearest-neighbour interactions. Herein t…
Harnessing finite-size effects to gauge aging in the Ising model
Dustin Warkotsch, Malte Henkel, Wolfhard Janke
The relaxation behavior towards equilibrium of the Ising model with nearest-neighbor interactions has been studied with focus on the two-time autocorrelator . Finite-s…
Exact solution of the Glauber-Ising model on the finite-length semi-open chain
Malte Henkel
The exact time-space correlation function of the Glauber-Ising model, quenched to temperature and on a semi-open lattice of finite size , is obtained. This also allow…
Fractal and Spectral Dimensions as Determinants of Thermal Ablation Outcomes in Cancer Tissues
Mario Olmo-Fajardo, Alexander López, Malte Henkel +1
Clinical thermal ablation outcomes display significant variability that classical bio-heat models cannot fully explain. One reason may lie in the fractal architecture of biological…
Short-time dynamics in phase-ordering kinetics
Leila Moueddene, Malte Henkel
Short-time dynamics in the Blume-Capel model, with a non-conserved order-parameter and short-ranged interactions, is analysed. For non-equilibrium dynamics, both at a critical…
Schrödinger-invariance in phase-ordering kinetics
Stoimen Stoimenov, Malte Henkel
The generic shape of the single-time and two-time correlators in non-equilibrium phase-ordering kinetics with is obtained from the co-variance of the four-point response fu…
Schrödinger-invariance in non-equilibrium critical dynamics
Malte Henkel, Stoimen Stoimenov
The scaling functions of single-time and two-time correlators in systems undergoing non-equilibrium critical dynamics with dynamical exponent are predicted from a new time-…
Schrödinger-invariance in the voter model
Malte Henkel, Stoimen Stoimenov
Exact single-time and two-time correlations and the two-time response function are found for the order-parameter in the voter model with nearest-neighbour interactions. Their expli…
Correlators in phase-ordering from Schrödinger-invariance
Malte Henkel, Stoimen Stoimenov
Systems undergoing phase-ordering kinetics after a quench into the ordered phase with from a fully disordered initial state and with a non-conserved order-parameter have…
Physical ageing from generalised time-translation-invariance
Malte Henkel
A generalised form of time-translation-invariance permits to re-derive the known generic phenomenology of ageing, which arises in classical many-body systems after a quench from an…
Critical ageing correlators from Schrödinger-invariance
Malte Henkel, Stoimen Stoimenov
For ageing systems, quenched onto a critical temperature such that the dominant noise comes from the thermal bath, with a non-conserved order-parameter and in addition with…
Finite-size scaling in the ageing dynamics of the Glauber-Ising model
Malte Henkel
Single-time and two-time correlators are computed exactly in the Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length , using a s…
Finite-Size Effects in Aging can be Interpreted as Sub-Aging
Henrik Christiansen, Suman Majumder, Wolfhard Janke +1
Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with…
Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model
Malte Henkel, Stoimen Stoimenov
The dynamical scaling and ageing in the relaxational dynamics of the quenched directed spherical model is analysed. The exact two-time correlation and response functions display ne…
Limitations of the Markovian approximation in the harmonic oscillator
Michele Coppola, Zoubair Daouma, Malte Henkel
The quantum fluctuation-dissipation theorem is a central ingredient in the construction of quantum dynamics of Brownian motion which necessarily is non-Markovian. Yet, often Markov…
Non-equilibrium relaxations: ageing and finite-size effects
Malte Henkel
The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological fi…
Non-equilibrium dynamics of the open quantum -model with non-Markovian noise: exact results
Sascha Wald, Malte Henkel, Andrea Gambassi
The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature , from a disordered state to various phases is studied through the e…
Aging in the long-range Ising model
Henrik Christiansen, Suman Majumder, Malte Henkel +1
The current understanding of aging phenomena is mainly confined to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here…
Axiomatic construction of quantum Langevin equations
Rúbia Araújo, Sascha Wald, Malte Henkel
A phenomenological construction of quantum Langevin equations, based on the physical criteria of (i) the canonical equal-time commutators, (ii) the Kubo formula, (iii) the virial t…
Dynamical universality of the contact process
Lucas Böttcher, Hans Jürgen Herrmann, Malte Henkel
The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a var…
Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
Dmytro Shapoval, Maxym Dudka, Xavier Durang +1
The change from the diffusion-limited to the reaction-limited cooperative behaviour in reaction-diffusion systems is analysed by comparing the universal long-time behaviour of the…
Meta-conformal algebras in spatial dimensions
Malte Henkel, Stoimen Stoimenov
Meta-conformal transformations are constructed as dynamical symmetries of the linear transport equation in spatial dimensions. In one and two dimensions, the associated Lie alg…