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Alexander K Hartmann

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Articles 56
Citations 96
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Recent Articles
1.
Hartmann A
Phys Rev E . 2025 Feb; 110(6-1):064138. PMID: 39916242
A percolation model inspired by crossword puzzle games is introduced. A game proceeds by solving words, which are segments of sites in a two-dimensional lattice. As a test case, the...
2.
Biroli M, Feld Y, Hartmann A, Majumdar S, Schehr G
Phys Rev E . 2024 Nov; 110(4-1):044142. PMID: 39562988
In this paper, we study a simple model of a diffusive particle on a line, undergoing a stochastic resetting with rate r, via rescaling its current position by a factor...
3.
Werner P, Hartmann A, Majumdar S
Phys Rev E . 2024 Sep; 110(2-1):024115. PMID: 39294934
A simple zipper model is introduced, representing in a simplified way, e.g., the folded DNA double helix or hairpin structures in RNA. The double stranded hairpin is connected to a...
4.
Werner P, Hartmann A
Phys Rev E . 2024 May; 109(4-1):044127. PMID: 38755889
The Higgs RNA model with an added term for a coupling to an external force is studied in regard to finite-time force-driving protocols with a minimal-work requirement. In this paper,...
5.
Hartmann A, Krajenbrink A, Le Doussal P
Phys Rev E . 2024 Mar; 109(2-1):024122. PMID: 38491613
We consider a discrete-time random walk on a one-dimensional lattice with space- and time-dependent random jump probabilities, known as the beta random walk. We are interested in the probability that,...
6.
Hartmann A, Meerson B
Phys Rev E . 2024 Feb; 109(1-1):014146. PMID: 38366541
We study the probability distribution P(A) of the area A=∫_{0}^{T}x(t)dt swept under fractional Brownian motion (fBm) x(t) until its first passage time T to the origin. The process starts at...
7.
Di Bello C, Hartmann A, Majumdar S, Mori F, Rosso A, Schehr G
Phys Rev E . 2023 Aug; 108(1-1):014112. PMID: 37583217
We consider a system of noninteracting particles on a line with initial positions distributed uniformly with density ρ on the negative half-line. We consider two different models: (i) Each particle...
8.
Feld Y, Hartmann A
PLoS One . 2023 Jul; 18(7):e0287932. PMID: 37428751
We numerically simulated the spread of disease for a Susceptible-Infected-Recovered (SIR) model on contact networks drawn from a small-world ensemble. We investigated the impact of two types of vaccination strategies,...
9.
Koskin V, Kells A, Clayton J, Hartmann A, Annibale A, Rosta E
J Chem Phys . 2023 Mar; 158(10):104112. PMID: 36922127
Efficiently identifying the most important communities and key transition nodes in weighted and unweighted networks is a prevalent problem in a wide range of disciplines. Here, we focus on the...
10.
Feld Y, Hartmann A
Phys Rev E . 2022 Apr; 105(3-1):034313. PMID: 35428162
We numerically study the dynamics of the SIR disease model on small-world networks by using a large-deviation approach. This allows us to obtain the probability density function of the total...