arXiv subjects

Mariusz Pietruszka

Publications and source records attributed to Mariusz Pietruszka.

6 recordsLinked to original sources

arXiv2026

Topologically quantized macroscopic attractor states in hydrated DNA

Driven dissipative systems at ambient conditions typically exhibit continuous responses shaped by fluctuations and relaxation, with discrete macroscopic states arising only under specific dynamical constraints. Here, we report the emergence of discrete attractor states in a quasi-two-dimensional hydrated DNA sample under magnetic excitation. The transverse polarization voltage $V_{xy}$ displays telegraph switching between well-defined levels, indicating stochastic transitions between metastable macroscopic states. Statistical analysis of the voltage time series reveals bimodal distributions and strong Bayesian model selection in favor of multiple coexisting states. A phenomenological phase-field framework describes the observed metastability and switching in terms of a proposed collective $U(1)$ polarization phase. Within this interpretation, phase-slip dynamics and integer-labeled winding sectors provide a possible organizing principle for the discrete macroscopic response. The results suggest that macroscopic quantization can emerge in a classical system at ambient conditions as a consequence of dissipative dynamics constrained by phase topology.

cond-mat.stat-mech↗

arXiv2026

A Polarization Hall Effect in Hydrated DNA

We report magnetic-field- and temperature-dependent transverse-voltage phenomena in hydrated genomic DNA. The sample is confined beneath a glass coverslip in a quasi-two-dimensional geometry and subjected to perpendicular magnetic fields, revealing sharp thresholds, staircase-like voltage plateaus, and oscillatory structures approximately periodic in inverse magnetic field. Fixed-field cooling reveals longitudinal reorganizations near 20.6 and 12.0 $^\circ$C, while a separate experiment shows large-amplitude transverse oscillations below approximately 12 $^\circ$C. Water controls and buffer-free DNA measurements support an association between the structured response and the hydrated DNA system. We propose a polarization-based interpretation of the transverse response, termed a "polarization Hall effect", and discuss the observed regimes within a phenomenological framework of nonlinear dynamics and metastable configurations. These findings identify hydrated DNA as a soft-matter system exhibiting structured electrical responses jointly regulated by magnetic field and temperature.

physics.bio-ph↗

arXiv2019

Modified Bohm's theory for abstruse measurements: application to layer depth profiling by Auger spectroscopy

Modified Bohm formalism is applied to solve a problem of abstruse layer depth profiles measured by the Auger electron spectroscopy technique in real physical systems, i.e., the desorbed carbon/passive layer on NiTi substrate and the adsorbed oxygen/surface of NiTi alloy. It is shown that abstruse layer profiles may be converted to real layer structures using the modified Bohm theory, where the quantum potential is due to an Auger electron effect. It is also pointed out that the stationary probability density predicts multilayer structures of abstruse depth profiles caused by carbon desorption and oxygen adsorption processes. The criterion for a kind of break between the physical and unphysical multilayer systems was found. We have concluded that the physics is also characterized by the abstruse measurement and the modified Bohm formalism

cond-mat.mtrl-sci↗

arXiv2015

Effective diffusion rates and cross-correlation analysis of "acid growth" data

We investigated the growth-temperature relationship in plants using a quantitative perspective of a recently derived growth functional. We showed that auxin-induced growth is achieved by the diffusion rate, which is almost constant or slowly ascending in temperature while the diffusion rate of fusicoccin-induced growth increases monotonically with temperature for the entire temperature range, though for some concentrations of IAA "super-diffusion" takes place for unperturbed growth. Furthermore, three kind of experiments were compared: for abraded coleoptiles, coleoptile segments and intact growing seedlings. From cross-correlation analysis it was found that the timing of IAA and FC-induced proton secretion and growth matches well. Unambiguous results, concerning fundamental conditions of the acid growth hypothesis, were obtained by cross- and auto-correlation analysis: (1) For abraded coleoptiles, because of the lowering of the cuticule potential barrier, auxin-induced cell wall pH decreases simultaneously with the change in growth rate; no advancement or retardation of pH (proton efflux rate) or growth rate takes place (2) Exogenous protons are able to substitute for auxin causing wall loosening and growth (3) Although the underlying molecular mechanisms vastly differ, a potent stimulator of proton secretion, the fungal toxin FC, promotes growth similar to auxin, however of much elevated intensity; as for auxin - no advancement or retardation takes place.

q-bio.CB↗

arXiv2015

Frequency landscape of tip-growing plants

It has been interesting that nearly all of the ion activities that have been analysed thus far have exhibited oscillations that are tightly coupled to growth. Here, we present discrete Fourier transform (DFT) spectra with a finite sampling of tip-growing cells and organs that were obtained from voltage measurements of the elongating coleoptiles of maize in situ. The electromotive force (EMF) oscillations (~ 0.1 μV) were measured in a simple but highly sensitive RL circuit, in which the solenoid was initially placed at the tip of the specimen and then was moved thus changing its position in relation to growth (EMF can be measured first at the tip, then at the sub-apical part and finally at the shank). The influx- and efflux-induced oscillations of Ca$^{2+}$, along with H$^{+}$, K$^{+}$ and Cl$^{-}$ were densely sampled (preserving the Nyquist theorem in order to 'grasp the structure' of the pulse), the logarithmic amplitude of pulse spectrum was calculated, and the detected frequencies, which displayed a periodic sequence of pulses, were compared with the literature data. A band of life vital individual pulses was obtained in a single run of the experiment, which not only allowed the fundamental frequencies (and intensities of the processes) to be determined but also permitted the phase relations of the various transport processes in the plasma membrane and tonoplast to be established. A discrete frequency spectrum (like the hydrogen spectrum in quantum physics) was achieved for a growing plant for the first time, while all of the metabolic and enzymatic functions of the life cell cycle were preserved using this totally non-invasive treatment.

q-bio.CB↗

arXiv2012

Frustration-induced inherent instability and growth oscillations in pollen tubes

In a seed plant a pollen tube is a vessel that transports male gamete cells to an ovule to achieve fertilization. It consists of one elongated cell, which exhibits growth oscillations, until it bursts completing its function. Up till now, the mechanism behind the periodic character of the growth has not been fully understood. An attempt to understand these oscillations lead us to an attractive scenario: We show that the mechanism of pressure-induced symmetry frustration occuring in the wall at the perimeter of cylindrical and approximately hemispherical parts of a growing pollen cell, together with the addition of cell wall material, suffices to release and sustain mechanical self-oscillations and cell extension in pollen tubes. At the transition zone where symmetry frustration occurs and one cannot distinguish either of the involved symmetries, a kind of 'entangled state' appears where either single or both symmetry(ies) can be realized by the system. We anticipate that testifiable predictions made by the model may deliver, after calibration, a new tool to estimate turgor pressure from oscillation period of the growing cell. Since the mechanical principles apply to all turgor regulated walled cells including those of plant, fungal and bacterial origin, the relevance of this work is not limited to the case of the pollen tube.

q-bio.CB↗