2012

D. Mehta, M. Kastner, and J. D. Hauenstein,
Energy landscape analysis of the two-dimensional nearest-neighbor φ⁴ model,
arXiv:1202.3320.

M. Kastner,
Long-time asymptotics of the long-range Emch-Radin model,
accepted for publication in Central European Journal of Physics;
arXiv:1110.4721.

P. Reimann and M. Kastner,
Equilibration of isolated macroscopic quantum systems,
New Journal of Physics 14, 043020 (2012).

R. Paškauskas and M. Kastner,
Equilibration in long-range quantum spin systems from a BBGKY perspective,
Journal of Statistical Mechanics 2012, P02005 (2012).

2011

M. Kastner and D. Mehta,
Phase transitions detached from stationary points of the energy landscape,
Physical Review Letters 107, 160602, 5 pages (2011).

M. Kastner,
Stationary points approach to thermodynamic phase transitions,
in: Non-Equilibrium Statistical Physics Today. Proceedings of the 11th Granada Seminar on Computational and Statistical Physics, pp. 179–183,
editors: P. L. Garrido, J. Marro, and F. de los Santos,
American Institute of Physics, Melville (2011).

D. Mehta and M. Kastner,
Stationary point analysis of the one-dimensional lattice Landau gauge fixing functional, aka random phase XY Hamiltonian,
Annals of Physics (New York) 326, 1425–1440 (2011).

M. Kastner,
Diverging equilibration times in long-range quantum spin models,
Physical Review Letters 106, 130601, 4 pages (2011).

M. Kastner,
Stationary point approach to the phase transition of the classical XY chain with power law interactions,
Physical Review E 83, 031114, 9 pages (2011).

2010

A. Heuer, M. Kastner, A. K. Hartmann, and M. Weigel,
Wanderungen in Energielandschaften: Ein Schlüssel zum Verständnis komplexer Systeme
Physik Journal 9, Nr. 12, 35–40 (2010).

M. Kastner,
Nonequivalence of ensembles in the Curie-Weiss anisotropic quantum Heisenberg model,
Journal of Statistical Mechanics 2010, P07006, 25 pages (2010);
invited article for a topical issue on Long-Range Interacting Systems.

M. Kastner,
Nonequivalence of ensembles for long-range quantum spin systems in optical lattices,
Physical Review Letters 104, 240403, 4 pages (2010).

M. Kastner,
On the origin of phase transitions in long-and short-range interacting systems,
in: Long-Range Interacting Systems. Lecture Notes of the Les Houches Summer School: Volume 90, August 2008, pp. 329–346,
editors: T. Dauxois, S. Ruffo, and L. F. Cugliandolo,
Oxford University Press, Oxford (2010).

M. Kastner,
Monte Carlo methods in statistical physics: Mathematical foundations and strategies,
Communications in Nonlinear Science and Numerical Simulation 15, 1589–1602 (2010).

2009

M. Kastner,
Microcanonical entropy of the spherical model with nearest-neighbour interactions,
Journal of Statistical Mechanics 2009, P12007, 15 pages (2009).

D. D. Scherer, C. A. Müller, and M. Kastner,
Finite-temperature fidelity-metric approach to the Lipkin-Meshkov-Glick model,
Journal of Physics A: Mathematical and Theoretical 42, 465304, 17 pages (2009);
selected for IoP Select.

L. Casetti, M. Kastner, and R. Nerattini,
Kinetic energy and microcanonical nonanalyticities in finite and infinite systems,
Journal of Statistical Mechanics 2009, P07036, 14 pages (2009).

M. Kastner and M. Pleimling,
Microcanonical phase diagrams of short-range ferromagnets,
Physical Review Letters 102, 240604, 4 pages (2009);
also published in Virtual Journal of Atomic Quantum Fluids 1, 1 (2009).

M. Kastner,
Energy landscapes and their relation to thermodynamic phase transitions,
Journal of Statistical Mechanics 2009, P02016, 12 pages (2009).

2008

M. Kastner, O. Schnetz, and S. Schreiber,
Nonanalyticities of the entropy induced by saddle points of the potential energy landscape,
Journal of Statistical Mechanics 2008, P04025, 27 pages (2008).

M. Kastner and O. Schnetz,
Phase transitions induced by saddle points of vanishing curvature,
Physical Review Letters 100, 160601, 4 pages (2008).

M. Kastner,
Phase transitions and configuration space topology,
Reviews of Modern Physics 80, 167–187 (2008);
featured in Mark Buchanan's Thesis It's just a phase... in Nature Physics 4, 5 (2008).

2007

L. Casetti and M. Kastner,
Partial equivalence of statistical ensembles and kinetic energy,
Physica A 384, 318–334 (2007).

M. Kastner, S. Schreiber, and O. Schnetz,
Phase transitions from saddles of the potential energy landscape,
Physical Review Letters 99, 050601, 4 pages (2007).

G. James and M. Kastner,
Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain,
Nonlinearity 20, 631–657 (2007).

M. Kastner,
Habilitationsschrift,
Part I: Phase transitions and configuration space topology,
Part II: Asymptotics of discrete breathers.

2006

M. Kastner,
Recursion relations for the partition function of the two-dimensional Ising model,
cond-mat/0605568;
the accompanying Mathematica notebook and data file can be downloaded here.

L. Casetti and M. Kastner,
Nonanalyticities of entropy functions of finite and infinite systems,
Physical Review Letters 97, 100602, 4 pages (2006).

I. Hahn and M. Kastner,
Application of large deviation theory to the mean-field φ⁴-model,
European Physical Journal B 50, 311–314 (2006).

M. Kastner,
When topology triggers a phase transition,
Physica A 365, 128–131 (2006).

M. Kastner and O. Schnetz,
On the mean-field spherical model,
Journal of Statistical Physics 122, 1195–1214 (2006).

M. Kastner,
Topological approach to phase transitions and inequivalence of statistical ensembles,
Physica A 359, 447–454 (2006).

2005

I. Hahn and M. Kastner,
The mean-field φ⁴ model: entropy, analyticity, and configuration space topology,
Physical Review E 72, 056134, 9 pages (2005).

M. Kastner and J.-A. Sepulchre,
Effective Hamiltonian for traveling discrete breathers in the FPU chain,
Discrete and Continuous Dynamical Systems B 5, 719–734 (2005).

2004

M. Kastner,
Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials,
Physical Review Letters 93, 150601, 4 pages (2004).

M. Kastner,
Dimension dependent energy thresholds for discrete breathers,
Nonlinearity 17, 1923–1939 (2004).

M. Kastner,
Energy thresholds for discrete breathers,
Physical Review Letters 92, 104301, 4 pages (2004).

2003

M. Kastner and T. J. Lázaro,
Breathers in a model of a polymer with secondary structure,
in: Localization and energy transfer in nonlinear systems, pp. 333–338,
editors: L. Vázquez, R. S. MacKay, and M. P. Zorzano,
World Scientific, Singapore (2003).

2002

M. Kastner,
Existence and order of the phase transition of the Ising model with fixed magnetization,
Journal of Statistical Physics 109, 133–142 (2002).

2001

M. Kastner and M. Promberger,
Comment on "A comparison between broad histogram and multicanonical methods",
Journal of Statistical Physics 104, 893–894 (2001).

M. Kastner and M. Promberger,
Consistency of microcanonical and canonical finite-size scaling,
Journal of Statistical Physics 103, 893–902 (2001).

2000

M. Kastner, J. D. Muñoz, and M. Promberger,
Broad histogram method: extension and efficiency test,
Physical Review E 62, 7422–7429 (2000).

M. Kastner, M. Promberger, and A. Hüller,
Microcanonical finite-size scaling,
Journal of Statistical Physics 99, 1251–1264 (2000).

M. Kastner,
Critical Phenomena in the Entropy Formalism and Microcanonical Finite-Size Scaling,
91 pp., Shaker-Verlag, Aachen (2000).

M. Promberger, M. Kastner, and A. Hüller,
Magnetic properties of finite systems: microcanonical finite-size scaling,
in: Computer simulational studies in condensed matter physics XII, pp. 185–190,
editors: D. P. Landau, S. P. Lewis, and H.-B. Schüttler,
Springer-Verlag, Heidelberg (2000).

1999

M. Kastner, M. Promberger, and A. Hüller,
Magnetic properties of finite 3d Ising systems: a microcanonical approach,
in: Computer simulational studies in condensed matter physics XI, pp. 161–165,
editors: D. P. Landau and H.-B. Schüttler,
Springer-Verlag, Heidelberg (1999).