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- Max Planck SocietyDE367 papers
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7 papers · 2 filters
Sensitivity of the thermodynamics of two-dimensional systems towards the topological classes of their surfaces
Oleg A. Vasilyev, Anna Maciolek, S. Dietrich
Using Monte Carlo simulations we study the two-dimensional Ising model on triangular, square, and hexagonal lattices with various topologies. We focus on the behavior of the magnet…
Tracer particle in a confined correlated medium: an adiabatic elimination method
Davide Venturelli, Markus Gross
We present a simple and systematic procedure to determine the effective dynamics of a Brownian particle coupled to a rapidly fluctuating correlated medium, modeled as a scalar Gaus…
Exact expressions for the partition function of the one-dimensional Ising model in the fixed- ensemble
Daniel Dantchev, Joseph Rudnick
We obtain exact closed-form expressions for the partition function of the one-dimensional Ising model in the fixed- ensemble, for three commonly-used boundary conditions: period…
Noise-to-signal ratio of single-trajectory spectral densities in centered Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We discuss the statistical properties of a single-trajectory power spectral density of an arbitrary real-valued centered Gaussian process , where is th…
Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We investigate the stochastic behavior of the single-trajectory spectral density of several Gaussian stochastic processes, i.e., Brownian motion, the Ornstein-Uh…
Fractional Brownian Gyrator
Alessio Squarcini, Alexandre Solon, Pascal Viot +1
When a physical system evolves in a thermal bath at a constant temperature, it arrives eventually to an equilibrium state whose properties are independent of the kinetic parameters…