Characterizing steady state and transient properties of reaction-diffusion systems (2009)
Dorosz, Sven, Pleimling, Michel
In the past the study of reaction-diffusion systems has greatly contributed to our understanding of the behavior of many-body systems far from equilibrium. In this paper we aim at characterizing the...
John von Neumann Institute for Computing Dynamical Scaling Behaviour Far from Equilibrium (2009)
Michel Pleimling, Michel Pleimling
Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and...
Non-markovian global persistence in phase-ordering kinetics (2009)
Henkel, Malte, Pleimling, Michel
The persistence probability P_g(t) of the global order-parameter of a simple ferromagnet undergoing phase-ordering kinetics after a quench from a fully disordered state to below the critical...
Parameter free scaling relation for nonequilibrium growth processes (2009)
Chou, Yen-Liang, Pleimling, Michel
We discuss a parameter free scaling relation that yields a complete data collapse for large classes of nonequilibrium growth processes. We illustrate the power of this new scaling relation through...
Microcanonical phase diagrams of short-range ferromagnets (2009)
Kastner, Michael, Pleimling, Michel
A phase diagram is a graph in parameter space showing the phase boundaries of a many-particle system. Commonly, the control parameters are chosen to be those of the (generalized) canonical ensemble,...
Fluctuation Ratios in the Absence of Microscopic Time Reversibility (2009)
Dorosz, Sven, Pleimling, Michel
We study fluctuations in diffusion-limited reaction systems driven out of their stationary state. Using a numerically exact method, we investigate fluctuation ratios in various systems which differ...
Non-relativistic AdS/CFT and Aging/Gravity Duality (2008)
Minic, Djordje, Pleimling, Michel
We point out that the recent discussion of non-relativistic AdS/CFT correspondence has a direct application in non-equilibrium statistical physics, the fact which has not been emphasized in the...
Superuniversality in phase-ordering disordered ferromagnets (2008)
Henkel, Malte, Pleimling, Michel
The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform bond disorder is investigated by intensive Monte Carlo simulations. Simple ageing behaviour is observed in...
Aging processes in reversible reaction-diffusion systems (2008)
Elgart, Vlad, Pleimling, Michel
Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical...
Kornyei, Laszlo, Pleimling, Michel, Igloi, Ferenc
The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model,...
Phase-ordering kinetics of two-dimensional disordered Ising models (2007)
Baumann, Florian, Henkel, Malte, Pleimling, Michel
The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to...
Local aging phenomena close to magnetic surfaces (2007)
Baumann, Florian, Pleimling, Michel
Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the...
Nonequilibrium critical relaxation at a first-order phase transition point (2007)
Pleimling, Michel, Igloi, Ferenc
We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order...
Local scale-invariance in disordered systems (2007)
Henkel, Malte, Pleimling, Michel
Dynamical scaling and ageing in disordered systems far from equilibrium is reviewed. Particular attention is devoted to the question to what extent a recently introduced generalization of dynamical...
Anisotropic scaling and generalized conformal invariance at Lifshitz points (2007)
Pleimling, Michel, Henkel, Malte
The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits...
Symmetry based determination of space-time functions in nonequilibrium growth processes (2006)
Roethlein, Andreas, Baumann, Florian, Pleimling, Michel
We study the space-time correlation and response functions in nonequilibrium growth processes described by linear stochastic Langevin equations. Exploiting exclusively the existence of space and time...
Ageing in disordered magnets and local scale-invariance (2006)
Henkel, Malte, Pleimling, Michel
The ageing of the bond-disordered two-dimensional Ising model quenched to below its critical point is studied through the two-time autocorrelator and thermoremanent magnetization (TRM). The...
Continuous phase transitions with a convex dip in the microcanonical entropy (2006)
Behringer, Hans, Pleimling, Michel
The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a continuous...
On the identification of quasiprimary scaling operators in local scale-invariance (2006)
Henkel, Malte, Enss, Tilman, Pleimling, Michel
The relationship between physical observables defined in lattice models and the associated (quasi-)primary scaling operators of the underlying field-theory is revisited. In the context of local...
Reentrance during nonequilibrium relaxation (2005)
Kornyei, Laszlo, Pleimling, Michel, Igloi, Ferenc
We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial...
Out-of-equilibrium properties of the semi-infinite kinetic spherical model (2005)
Baumann, Florian, Pleimling, Michel
We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The...
Baumann, Florian, Henkel, Malte, Pleimling, Michel, Richert, Jean
Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time...
Baumann, Florian, Henkel, Malte, Pleimling, Michel, Richert, Jean
Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time...
Dynamic critical behaviour in Ising spin glasses (2005)
Pleimling, Michel, Campbell, I. A.
The critical dynamics of Ising spin glasses with Bimodal, Gaussian, and Laplacian interaction distributions are studied numerically in dimensions 3 and 4. The data demonstrate that in both dimensions...
Henkel, Malte, Pleimling, Michel
The value of the non-equilibrium exponent $a$ is measured in the two-dimensional (2D) Ising model quenched to below criticality from the dynamical scaling of the zero-field-cooled and the...
Baumann, Florian, Henkel, Malte, Pleimling, Michel, Richert, Jean
Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time...
Microcanonical analysis of small systems (2005)
Pleimling, Michel, Behringer, Hans
The basic quantity for the description of the statistical properties of physical systems is the density of states or equivalently the microcanonical entropy. Macroscopic quantities of a system in...
The density of states of classical spin systems with continuous degrees of freedom (2005)
Richter, Andreas, Pleimling, Michel, Hueller, Alfred
In the last years different studies have revealed the usefulness of a microcanonical analysis of finite systems when dealing with phase transitions. In this approach the quantities of interest are...
Pleimling, Michel, Gambassi, Andrea
Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to...
Baumann, Florian, Henkel, Malte, Pleimling, Michel, Richert, Jean
Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time...
Baumann, Florian, Henkel, Malte, Pleimling, Michel, Richert, Jean
Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time...
Henkel, Malte, Pleimling, Michel
The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is...
Nonequilibrium critical dynamics in inhomogeneous systems (2004)
Pleimling, Michel, Igloi, Ferenc
We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is...
Ageing and dynamical scaling in the critical Ising spin glass (2004)
Henkel, Malte, Pleimling, Michel
The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in...
Microcanonical scaling in small systems (2004)
Pleimling, Michel, Behringer, Hans, Huller, Alfred
A microcanonical finite-size scaling ansatz is discussed. It exploits the existence of a well-defined transition point for systems of finite size in the microcanonical ensemble. The best data...
Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance (2004)
Henkel, Malte, Picone, Alan, Pleimling, Michel
The time-dependent scaling of the two-time autocorrelation function of spin systems without disorder undergoing phase-ordering kinetics is considered. Its form is shown to be determined by an...
Aging phenomena in critical semi-infinite systems (2004)
Nonequilibrium surface autocorrelation and autoresponse functions are studied numerically in semi-infinite critical systems in the dynamical scaling regime. Dynamical critical behaviour is examined...
Critical phenomena at perfect and non-perfect surfaces (2004)
In the past perfect surfaces have been shown to yield a local critical behaviour that differs from the bulk critical behaviour. On the other hand surface defects, whether they are of natural origin...
Pleimling, Michel, Igloi, Ferenc
We study nonequilibrium dynamical properties at a free surface after the system is quenched from the high-temperature phase into the critical point. We show that if the spatial surface correlations...
Scaling of the linear response in simple ageing systems without disorder (2003)
Henkel, Malte, Paessens, Matthias, Pleimling, Michel
The time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below criticality is...
Recently Mayer et al. [Phys. Rev. E {\bf 68}, 016116 (2003)] proposed a new way to compute numerically the fluctuation-dissipation ratios in nonequilibrium critical systems. Using well-known facts of...
Local scale invariance and its applications to strongly anisotropic critical phenomena (2003)
Henkel, Malte, Picone, Alan, Pleimling, Michel, Unterberger, Jeremie
The generalization of dynamical scaling to local scale invariance is reviewed. Starting from a recapitulation of the phenomenology of ageing phenomena, the generalization of dynamical scaling to...
Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics (2003)
Henkel, Malte, Pleimling, Michel
The scaling of the spatio-temporal response of coarsening systems is studied through simulations of the 2D and 3D Ising model with Glauber dynamics. The scaling functions agree with the prediction of...
Henkel, Malte, Pleimling, Michel
Reply to the Comment by F. Corberi, E. Lipiello and M. Zannetti (cond-mat/0211609).
Scaling of the magnetic linear response in phase-ordering kinetics (2002)
Henkel, Malte, Paessens, Matthias, Pleimling, Michel
The scaling of the thermoremanent magnetization and of the dissipative part of the non-equilibrium magnetic susceptibility is analysed as a function of the waiting-time $s$ for a simple ferromagnet...
Phase transitions in a cluster molecular field approximation (2002)
Behringer, Hans, Pleimling, Michel, Huller, Alfred
Cluster molecular field approximations represent a substantial progress over the simple Weiss theory where only one spin is considered in the molecular field resulting from all the other spins. In...
Surface critical exponents at a uniaxial Lifshitz point (2001)
Using Monte Carlo techniques, the surface critical behaviour of three-dimensional semi-infinite ANNNI models with different surface orientations with respect to the axis of competing interactions is...
Microcanonical determination of the order parameter critical exponent (2001)
Huller, Alfred, Pleimling, Michel
A highly efficient Monte Carlo method for the calculation of the density of states of classical spin systems is presented. As an application, we investigate the density of states Omega_N(E,M) of two-...
Anisotropic scaling and generalized conformal invariance at Lifshitz points (2001)
Henkel, Malte, Pleimling, Michel
A new variant of the Wolff cluster algorithm is proposed for simulating systems with competing interactions. This method is used in a high-precision study of the Lifshitz point of the 3D ANNNI model....
Phase transitions at surfaces, edges, and corners (2001)
Results of large-scale Monte Carlo simulations of three-dimensional Ising models with edges and corners are reviewed. At the ordinary transition, angle dependent critical exponents are observed,...
Aging, phase ordering and conformal invariance (2001)
Henkel, Malte, Pleimling, Michel, Godreche, Claude, Luck, Jean-Marc
In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance,...
Anisotropic scaling and generalized conformal invariance at Lifshitz points (2001)
Pleimling, Michel, Henkel, Malte
The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits...
Aging, Phase Ordering, and Conformal Invariance (2001)
Godrèche, Claude, Henkel, Malte, Luck, Jean-Marc, Pleimling, Michel
Hueller, Alfred, Pleimling, Michel
Comment an the recent Letter [Phys. Rev. Lett. 86, 2050 (2001)] by F.Wang and D. P. Landau.
Crossing the coexistence line at constant magnetization (2000)
Pleimling, Michel, Hueller, Alfred
Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order...
Comment on "On the $T_S$-Anomaly in Betaine Calcium Chloride Dihydrate" (1998)
Neubert, Boris, Pleimling, Michel
Recently, Hlinka and Ishibashi [J. Phys. Soc. Jpn. 67, 495 (1998)] discussed the $T_S$-anomaly in betaine calcium chloride dihydrate (BCCD) in a Landau-type approach. We comment on the shortcomings...
Neubert, Boris, Pleimling, Michel, Siems, Rolf
A Double Ising Spin model for uniaxially structurally modulated materials exhibits as a special feature phase transitions between phases with equal wave numbers but different pseudo spin...
Models for the description of uniaxially modulated materials (1997)
Neubert, Boris, Pleimling, Michel, Siems, Rolf
Models which allow an explicit application to structurally modulated substances are reviewed within the frame of a symmetry-based approach starting from discrete lattice theory. Focus is set on...
Derivation of symmetry-based pseudo spin models for modulated materials (1997)
Neubert, Boris, Pleimling, Michel, Siems, Rolf
A general concept for the derivation of symmetry-based pseudo spin Hamiltonians is described. It systematically bridges the gap between the atomistic basis and various pseudo spin models presented in...
Anomalies in the antiferromagnetic phase of metamagnets (1997)
Pleimling, Michel, Selke, Walter
Motivated by recent experiments on the metamagnet FeBr2, anomalies of the magnetization and the specific heat in the antiferromagnetic phase of related spin models are studied systematically using...