PD Dr. Martin Hasenbusch
Profil
Zusammenfassung
Martin Hasenbusch entwickelt und optimiert Computersimulationsmethoden (Monte-Carlo-Verfahren) zur Untersuchung von Phasenübergängen in physikalischen Systemen. Seine Expertise liegt darin, kritische Phänomene in Gittermodellen präzise zu berechnen und dabei systematische Fehler zu minimieren — ein Wissen, das für die numerische Modellierung komplexer Materialverhalten in der Industrie relevant ist.
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Stammdaten
Identität, Organisation und Kontakt aus HU-FIS.
- Name
- PD Dr. Martin Hasenbusch
- Titel
- PD Dr.
- Fakultät
- Mathematisch-Naturwissenschaftliche Fakultät
- Institut
- Institut für Physik
- Arbeitsgruppe
- Theoretische Physik (Phänomenologie der Elementarteilchenphysik jenseits des Standardmodells)
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Forschungsthemen4
Algorithms for lattice QCD and related models
Quelle ↗Förderer: DFG Eigene Stelle (Sachbeihilfe) Zeitraum: 10/2016 - 09/2018 Projektleitung: PD Dr. Martin Hasenbusch, Prof. Dr. rer. nat. Peter Uwer
Kritische Casimirkraft zwischen Kugel und Ebenen: Monte-Carlo-Simulation von Spinmodellen
Quelle ↗Förderer: DFG Eigene Stelle (Sachbeihilfe) Zeitraum: 10/2013 - 09/2015 Projektleitung: PD Dr. Martin Hasenbusch
Kritischer Casimireffekt: Monte-Carlo-Simulationen verbesserter Modelle
Quelle ↗Förderer: DFG Eigene Stelle (Sachbeihilfe) Zeitraum: 11/2008 - 10/2010 Projektleitung: PD Dr. Martin Hasenbusch
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Publikationen25
Top 25 nach Zitationen — Quelle: OpenAlex (BAAI/bge-m3 embedded für Matching).
Physical review. B, Condensed matter · 485 Zitationen · DOI
We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find $\ensuremath{\gamma}=1.3960(9),$ $\ensuremath{\nu}=0.7112(5),$ $\ensuremath{\eta}=0.0375(5),$ $\ensuremath{\alpha}=\ensuremath{-}0.1336(15),$ $\ensuremath{\beta}=0.3689(3),$ and $\ensuremath{\delta}=4.783(3).$ We consider an improved lattice ${\ensuremath{\varphi}}^{4}$ Hamiltonian with suppressed leading scaling corrections. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods and high-temperature expansions. The critical exponents are computed from high-temperature expansions specialized to the ${\ensuremath{\varphi}}^{4}$ improved model. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine a number of universal amplitude ratios.
Physical review. B, Condensed matter · 380 Zitationen · DOI
We improve the theoretical estimates of the critical exponents for the three-dimensional $\mathrm{XY}$ universality class. We find $\ensuremath{\alpha}=\ensuremath{-}0.0146(8),$ $\ensuremath{\gamma}=1.3177(5),$ $\ensuremath{\nu}=0.67155(27),$ $\ensuremath{\eta}=0.0380(4),$ $\ensuremath{\beta}=0.3485(2),$ and $\ensuremath{\delta}=4.780(2).$ We observe a discrepancy with the most recent experimental estimate of $\ensuremath{\alpha};$ this discrepancy calls for further theoretical and experimental investigations. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods, and high-temperature expansions. Two improved models (with suppressed leading scaling corrections) are selected by Monte Carlo computation. The critical exponents are computed from high-temperature expansions specialized to these improved models. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine the specific-heat amplitude ratio.
Physical Review B · 331 Zitationen · DOI
We study the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter $D$ on the simple cubic lattice. To this end we perform Monte Carlo simulations using a hybrid of the local Metropolis, the single cluster and the wall cluster algorithm. Using finite size scaling we determine the value ${D}^{\ensuremath{\ast}}=0.656(20)$ of the parameter $D$, where leading corrections to scaling vanish. We find $\ensuremath{\omega}=0.832(6)$ for the exponent of leading corrections to scaling. In order to compute accurate estimates of critical exponents, we construct improved observables that have a small amplitude of the leading correction for any model. Analyzing data obtained for $D=0.641$ and 0.655 on lattices of a linear size up to $L=360$ we obtain $\ensuremath{\nu}=0.63002(10)$ and $\ensuremath{\eta}=0.03627(10)$. We compare our results with those obtained from previous Monte Carlo simulations and high-temperature series expansions of lattice models, by using field-theoretic methods and experiments.
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