arXiv subjects

Artur Michalak

Publications and source records attributed to Artur Michalak.

3 recordsLinked to original sources

arXiv2026

Phase Separation in Heritage Objects Made of Plasticised PVC: the Case of Joseph Beuys Multiples

This work addresses the advanced degradation of plasticised PVC boards, which constitute Joseph Beuys multiples Phosphorus-Cross Sled, focusing on the mechanisms responsible for the extensive exudation of a viscous liquid. A multi-analytical approach combining chromatographic, spectroscopic, microscopic, and mechanical techniques was employed to characterise both the exuded surface layer and the polymer bulk, and to evaluate the consequences of degradation for long-term mechanical behaviour. The experimental results are supported by density functional theory simulations, which indicate a thermodynamic driving force for plasticiser migration towards the PVC surface and its tendency to self-associate. These molecular-level insights provide a mechanistic explanation for the observed migration and exudation phenomena. Overall, the study outlines a coherent deterioration pathway for exudate-covered plasticised PVC. The application of NMR spectroscopy proved to be an efficient method for studying accelerated migration of the plasticiser in PVC, opening the path to the development of non-destructive, in situ preventive conservation tools, supporting the early identification of PVC artefacts or parts of a collection that are at risk of severe phase separation.

cond-mat.mtrl-sci↗

arXiv2025

Methodology of signal spectral analysis in various Kron model geometries

This work presents experimental and theoretical comparison in the modelling of the quantum wave function of single-electron in semiconductor nanowire via classical analog electronics based hardware emulator with the use of Kron concept. Thus we are able to express the semiconductor single-electron devices of linear or closed circle topology as present in position-based qubits that can be mapped essentially to one dimensional Kron model implemented experimentally. We have also represented a two dimensional single-electron wave function in Krons model and point out future experiments to be conducted.

cond-mat.mes-hall↗

arXiv2021

A note on Banach spaces $E$ admitting a continuous map from $C_p(X)$ onto $E_{w}$

$C_p(X)$ denotes the space of continuous real-valued functions on a Tychonoff space $X$ endowed with the topology of pointwise convergence. A Banach space $E$ equipped with the weak topology is denoted by $E_{w}$. It is unknown whether $C_p(K)$ and $C(L)_{w}$ can be homeomorphic for infinite compact spaces $K$ and $L$ \cite{Krupski-1}, \cite{Krupski-2}. In this paper we deal with a more general question: what are the Banach spaces $E$ which admit certain continuous surjective mappings $T: C_p(X) \to E_{w}$ for an infinite Tychonoff space $X$? First, we prove that if $T$ is linear and sequentially continuous, then the Banach space $E$ must be finite-dimensional, thereby resolving an open problem posed in \cite{Kakol-Leiderman}. Second, we show that if there exists a homeomorphism $T: C_p(X) \to E_{w}$ for some infinite Tychonoff space $X$ and a Banach space $E$, then (a) $X$ is a countable union of compact sets $X_n, n \in ω$, where at least one component $X_n$ is non-scattered; (b) $E$ necessarily contains an isomorphic copy of the Banach space $\ell_{1}$.

math.FA↗