# 31st Marian Smoluchowski Symposium on Statistical Physics

2-7 September 2018
Europe/Warsaw timezone
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## Contribution List

Displaying 50 contributions out of 50
Type: talk Session: Tue morning
Collective ordered motion can emerge spontaneously in many biological systems, such as bird flocks, insect swarms and tissue under dynamic re-organization. This phenomenon is typically modelled under the active fluid formalism. However, anomalous diffusion, characterizing particles whose position mean-square displacement scales non-linearly in time, is also widespread in biology. For instance, Lè ... More
Presented by Dr. Andrea CAIROLI on 4 Sep 2018 at 09:45
Type: talk Session: Thu
Many systems in physics and biology display somewhat irregular (noisy) but clearly oscillatory behavior. Most of these systems are kept outside of thermodynamic equilibrium (they are active) and can be well described in a stochastic framework. In the talk I review a number of new developments from the theoretical side: how we can test whether the oscillator's dynamics is Markovian (using a non ... More
Presented by Prof. Benjamin LINDNER on 6 Sep 2018 at 09:00
Type: talk Session: Tue morning
A surging amount of experimental and simulations studies reveals persistent anomalous diffusion in the membranes and volume of living biological cells as well as other complex fluids [1]. This anomalous diffusion is observed for micron-sized objects down to labelled single molecules such as green fluorescent proteins [2]. In this talk I will present results from large scale computer simulat ... More
Presented by Prof. Ralf METZLER on 4 Sep 2018 at 09:00
Type: poster Session: Poster session
We present a model of a Brownian asymmetric simple exclusion process (BASEP) with underdamped Brownian Dynamics, which is an extension on the well-known asymmetric simple exclusion process (ASEP) defined on a discrete lattice. In the BASEP, particles of size $\sigma$ with hardcore interaction are driven by a constant drag force through a one-dimensional cosine potential with period $\lambda$ ... More
Presented by Dominik LIPS on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
Hypertension - a long-term elevation of blood pressure - is a major risk factor for cardiovascular disease like coronary artery disease, stroke and kidney failure. The dynamic relationships in cardiovascular system are altered in hypertensive patients but there is a lack of methods providing qualitative and quantitative assessment of these changes. Therefore, the aim of the study is to compare th ... More
Presented by Ms. Dorota WEJER on 6 Sep 2018 at 15:00
Type: talk Session: Mon morning
The topic of global search in complex environments have been often investigated. But a search can also be local in the sense that it is centered at a given home position. In the latter case, the searcher does not only look for a new target but is also required to regularly return to the home position. Such behavior is typical for many insects and achieves technical importance for self-navigating ... More
Presented by Prof. Lutz SCHIMANSKY-GEIER on 3 Sep 2018 at 09:00
Type: talk Session: Mon noon
Random walks in composite continuous time have recently been introduced in [1]. Composite time flow is the product of translational time flow and fractional time flow [2]. The continuum limit of composite continuous time random walks gives a diffusion equation where the infinitesimal generator of time flow is the sum of a first order and a fractional time derivative. The latter is spec ... More
Presented by Prof. Rudolf HILFER on 3 Sep 2018 at 11:00
Type: poster Session: Poster session
Computer aided analysis of microscopic images is a rapidly growing field of imaging research. The results of the preliminary assessment of cervical cytology samples made by artificial intelligence systems will be presented. For this purpose, a u-net network of various complexity of architecture has been tested. The obtained results indicate the effectiveness of the solution based on neural networ ... More
Presented by Dr. Jakub BARBASZ on 6 Sep 2018 at 15:00
Type: talk Session: Tue afternoon
The Loewner equation in its stochastic incarnation has proved to be an insightful method in studying scaling limits of critical two-dimensional lattice models in statistical mechanics. However, a deterministic counterpart of this equation is also a valuable tool, particularly well-suited for the description of diffusion-controlled growth problems, such as electrodeposition, dielectric breakdown or ... More
Presented by Dr. Piotr SZYMCZAK on 4 Sep 2018 at 15:15
Type: talk Session: Tue evening
In this talk we discuss the importance of duality in two-dimensional percolation, from the determination of thresholds exactly (the star-triangle transformation, the triangle-triangle transformation, the isoradial construction) to the question of the behavior of the number of clusters at the critical point, in which duality and the Euler graph formula play important roles. (Work here with Christi ... More
Presented by Prof. Robert M. ZIFF on 4 Sep 2018 at 16:30
Type: talk Session: Mon evening
In a recent work [1] a method to derive analytically the roughness evolution was exposed. The method allows to obtain analytically the growths exponents of a surface of $1+1$ dimensions whose dynamics is ruled by cellular automata. The method was successfully applied to the etching model[2,3] and the dynamical exponents where obtained. Those exponents are exact and they are the same as those ... More
Presented by Prof. Fernando OLIVEIRA on 3 Sep 2018 at 16:30
Type: poster Session: Poster session
We present results for undamped stochastic oscillators driven by additive noise. For various noise types we study analytically and numerically energetic properties of stochastic systems. In general, action of an additive noise results in pumping of energy into the system through an interesting interplay between kinetic and potential energies which are sensitive to the shape of the potential well a ... More
Presented by Mr. Michal MANDRYSZ on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
Models which contain quantum particle coupled to its environment were analysed many times over recent years or even decades. This old and seemingly clichéd system-environment model has been re-considered many, many times by each next generation of physicists. However, it is still difficult to find a transparent presentation of this fundamental issue of the quantum statistical physics. Furth ... More
Presented by Mr. Pawel BIALAS on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
Tracking Brownian particles is often employed to map the energy landscape they explore. Such measurements have been exploited to study many biological processes and interactions in soft materials. Yet video tracking is irremediably contaminated by localization errors originating from two imaging artifacts: the “static” errors come from signal noise, and the “dynamic” errors arise from the ... More
Presented by Mr. Michal BOGDAN on 6 Sep 2018 at 15:00
Type: talk Session: Tue noon
Random sequential adsorption (RSA) of particles is used in a large variety of contexts to model particle aggregation and jamming. In RSA, a particle's position is selected with uniform probability over the domain and it is then placed sequentially if there is no overlap with any previously placed particles. Particles are not able to move or reorient once being placed. A key feature of these models ... More
Presented by Dr. Adrian BAULE on 4 Sep 2018 at 11:00
Type: talk Session: Thu noon
We study theoretically a possible physical mechanism for formation of multicellular protrusions in carcinoma at the onset of metastasis. We suggest it might be a consequence of a very simple physical instability resulting from coupling between cell velocity and direction of active traction. It is reminiscent of the classical viscous fingering instability. We use it to show that, for a carcinoma gr ... More
Presented by Mr. Michal BOGDAN on 6 Sep 2018 at 12:05
Type: talk Session: Thu noon
A system kept out of equilibrium in the stationary state by the external source of energy stores an energy in excess over its value at equilibrium. We determine this excess energy, $U$ for two model systems: the ideal gas and the Lennard-Jones liquid. We show that in order to describe non-equilibirum states an external energy source must be explicitly included in the analysis. The final non-e ... More
Presented by Prof. Robert HOLYST on 6 Sep 2018 at 11:00
Type: poster Session: Poster session
Bent-core particles, which are of great importance due to their applications in the liquid crystal industry, gain nowadays more and more interest due to the possibility of formation of novel modulated phases. We investigate the adsorption processes leading to the formation of such structures. We present the role of elastic deformations for the maximum packing in systems composed of particles rando ... More
Presented by Dr. Pawel KARBOWNICZEK on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
Various kinds of diffusion in membrane systems commonly occur in biology (see, for example, \cite{h} and references cited in \cite{k1}). The example of diffusion in a composite system is diffusion of drugs through biofilms in which subdiffusion can be present \cite{awdk}. We consider subdiffusion in a system which consists of two different media separated by a thin membrane. In one of the media p ... More
Presented by Dr. Katarzyna LEWANDOWSKA on 6 Sep 2018 at 15:00
Type: talk Session: Mon noon
The common definition of entropy is that it represents some quantifier of disorder. In classical physics, the entropy of a physical system is proportional to the quantity of energy no longer available to do physical work. In dynamical systems analysis it usually refers to the rate at which signal loses or gains information. In information theory it directly measures the information in a signal. Th ... More
Presented by Dr. Lukasz MACHURA on 3 Sep 2018 at 12:05
Type: talk Session: Tue evening
We consider exactly solvable model of the $S=1/2$ XY one-dimensional magnetoelectric with zigzag geometry of the exchange interaction bonds between the spins. The system is supposed to exhibit the magnetoelectric effect due to Katsura-Nagaosa-Balatsky (KNB) mechanism, connecting the local bond polarization with the spin-current flowing through it. Mapping the quantum spin chain onto the spinless f ... More
Presented by Dr. Vadim OHANYAN on 4 Sep 2018 at 17:35
Type: poster Session: Poster session
The highly frustrated spin-1/2 Heisenberg FM/AF square bilayer in a magnetic field with the ferromagnetic inter-dimer interaction and the antiferromagnetic intra-dimer interaction is explored by the use of localized many-magnon approach, which allows to connect the original purely quantum Heisenberg spin model on a square bilayer with the effective ferromagnetic Ising model on a simple square latt ... More
Presented by Ms. Katarina KARLOVA on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
The phenomenon of interfacial adsorption and adhesion can be encountered at every stage of everyday life, from processes at atomic or cellular level to complex industrial processes taking place on a large scale. Most commonly used models to describe colloidal particles adsorption are classical RSA and ballistic-deposition model. In this study we presented alternative model to describe adsorpti ... More
Presented by Dr. Jakub BARBASZ on 6 Sep 2018 at 15:00
Type: poster Session: Poster session
This contribution is based mainly on [1]. Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The first one is Bose--Hubbard model with a random on--site potential $H = -J \sum_{\langle i,j \rangle} \hat{a}^{+}_i\hat{a}_j + \frac{ U }{2} \sum_i \hat{n}_i (\hat{n ... More Presented by Mr. Piotr SIERANT on 6 Sep 2018 at 15:00 Type: poster Session: Poster session Mica (muscovite) is a substrate commonly used for TEM and AFM imaging because of its atomic flatness, high cleavage and transparency. This aluminosilicate has sheet structure. Crystallographic structure of mica consists of two layers of Si and Al tetrahedrals and one Al octahedral sublayer between them.1,2 Force spectroscopy technique was used to determine physicochemical properties such as ad ... More Presented by Dr. Jakub BARBASZ on 6 Sep 2018 at 15:00 Type: poster Session: Poster session BK channels are voltage-gated potassium channels that exhibit large single-channel conductance. They are involved in a number of important physiological processes including the pathogenesis of several diseases. In this work, we analyze the multifractal properties of glioblastoma BK channels activity in different experimental conditions. The sequences of ion currents and dwell times of BK channels ... More Presented by Ms. Paulina TRYBEK, Mrs. Agata WAWRZKIEWICZ-JALOWIECKA on 6 Sep 2018 at 15:00 Type: poster Session: Poster session Dynamics of the systems at the sub-micro level can reveal astounding effects and may often mislead our intuition. However, since fluctuations play a key role at this scale, unexpected physical phenomena that contradict our everyday experience should not be a surprise. In this study we consider one of the anomalous transport effects, namely the directed transport of the particles in the opposite di ... More Presented by Ms. Aleksandra SLAPIK on 6 Sep 2018 at 15:00 Type: talk Session: Mon noon We discuss non-equilibrium steady states of a system of Brownian hard spheres diffusing in a one-dimensional cosine potential, where a small static bias is driving the particles in one direction. The amplitude of the cosine potential in this Brownian asymmetric simple exclusion process (BASEP) is assumed to be large compared to the thermal energy, leading to a hopping motion of the particles betwe ... More Presented by Dr. Artem RYABOV on 3 Sep 2018 at 11:45 Type: talk Session: Tue afternoon It has long been a dream to design molecular devices and machines. We are not, though, very good at it, but Nature is. From the complex machinery of the ribosome to the integration of information, sensing, and actuation in cells, biological systems conduct the most exquisite nanofabrication and molecular operation that we know of. Our best methods so far for creating nanoscale objects mimic and ex ... More Presented by Dr. Michael ZWOLAK on 4 Sep 2018 at 14:30 Type: poster Session: Poster session We show that work and power fluctuations in quasi-static periodically driven heat engines (PHEs) operating with the Carnot efficiency at nonzero output power are finite and can even vanish. This result contradicts the corresponding findings for steady state HEs (SSHEs), where the Carnot efficiency at nonzero power with finite fluctuations cannot be reached quasi-statically. Moreover, the Fano fact ... More Presented by Dr. Artem RYABOV on 6 Sep 2018 at 15:00 Type: talk Session: Mon afternoon One of the fundamental laws of classical statistical physics is the energy equipartition theorem which states that for each degree of freedom the average kinetic energy equals$E_k=k_B T/2$, where$k_B$is the Boltzmann constant and$T$is temperature of the system. Despite the fact that quantum mechanics has already been developed for more than 100 years still there is no quantum counterpart of ... More Presented by Prof. Jerzy LUCZKA on 3 Sep 2018 at 14:30 Type: talk Session: Tue noon Packings of objects attracted people's interest for many centuries. For example, during colonial era packings of spheres were studied to find the most optimal way to transport cannonballs. Today, densest packings are utilized in a variety of areas starting from condensed matter physics where they can model crystalline structures, and ending with telecommunication where they indicate how to optimiz ... More Presented by Mr. Piotr KUBALA on 4 Sep 2018 at 12:05 Type: talk Session: Mon morning We provide a unified renewal approach to the problem of random search for several targets under resetting. This framework does not rely on specific properties of the search process and resetting procedure, allows for simpler derivation of known results, and leads to new ones. Concentrating on minimizing the mean hitting time, we show that resetting at a constant pace is the best possible option i ... More Presented by Prof. Igor SOKOLOV on 3 Sep 2018 at 09:45 Type: poster Session: Poster session The subject of this study was random sequential adsorption of cuboids of axes length ratio of$a:1:b$for$a \in [0.3, 1.0]$and$b \in[1.0, 2.0]$and its aim was to find a shape that provides the highest packing fraction. Obtained results show that the densest packing fraction is$0.402 \pm 0.010$, and is reached for axes ratios near cuboids of$0.75:1:1.30$. Kinetics of packing growth were also ... More Presented by Mr. Piotr KUBALA, Mr. Michal CIESLA on 6 Sep 2018 at 15:00 Type: talk Session: Tue morning The Overdamped Langevin equation describes the inertialess motion of a particle under deterministic drift and thermal noise. The deterministic drift is the result of the combined action of active forces and the diffusivity gradient (the “spurious” force). For biological applications, it is important to distinguish between the two components, because the former indicates specific interactions, ... More Presented by Dr. Alexander S. SEROV on 4 Sep 2018 at 10:05 Type: talk Session: Tue noon The problem of packing hard shapes into limited space has an ancient history and is still of great importance from both utilitarian and fundamental point of view. Random packings are especially important due to their potential application in granular matter and life sciences. There are a number of protocols that allow to generate random packings. One of them is random sequential adsorption. This m ... More Presented by Mr. Michal CIESLA on 4 Sep 2018 at 11:45 Type: talk Session: Thu Recent advances in single particle tracking techniques have led to a growing interest in the theoretical study of the motion of microscopic particles in biological environments. It is of key importance for the field of biology to characterize the diffusion of such particles. Many experimental observations have been linked to already existing frameworks such as the continuous time random walks, Lé ... More Presented by Gorka MUNOZ-GIL on 6 Sep 2018 at 10:05 Type: poster Session: Poster session An isolated quantum system consisting of a single scattering barrier inside the potential well in the form of double harmonic oscillator is considered. The initial state is assumed to be the Schrödinger cat state [1] which is the superposition of two coherent states but generalized by additional parameter modelling a partial loss of interference which reflects the imperfection of the Schrödinger ... More Presented by Mr. Damian KOLACZEK on 6 Sep 2018 at 15:00 Type: poster Session: Poster session Brownian motion (Wiener process) and Ornstein-Uhlenbeck processes are two basic stochastic processes, which are frequently, among others, used in the statistical physics. We consider the full stochastic dynamics, i.e. a situation when a particle is described by the position and velocity. It is assumed that velocity changes according to Wiener or Ornstein-Uhlenbeck processes. Consequently, a parti ... More Presented by Karol CAPALA on 6 Sep 2018 at 15:00 Type: talk Session: Thu The conventional object of interest for studies related to random motions or relatively large walkers in a complex me-dium having traps and obstacles, e.g. biological soft matter that is motivated by a clear separation of scales between their dynamics. On the other hand, molecular motion in simple liquids, where the walker and its surrounding are com-posed of identical particles may exhibit a demo ... More Presented by Prof. Eugene POSTNIKOV on 6 Sep 2018 at 09:45 Type: poster Session: Poster session The mixed spin-1/2 and spin-3/2 Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and the harmonic approximation. It is shown that the magnetoelastic coupling gives rise to an effective single-ion anisotropy and three-site four-spin interaction ... More Presented by Dr. Jozef STRECKA on 6 Sep 2018 at 15:00 Type: talk Session: Tue evening The possibility of the occurrence of the spin-glass-like and ferromagnetic transitions in nonequilibrium systems based on the Ising model with spin-flip rates combining two Glauber rates at different temperatures is discussed. The models comprise the Sherrington-Kirkpatrick model and the Ising model onrandom graphs with edges corresponding, with certain probability, to positive and negative exchan ... More Presented by Dr. Andrzej KRAWIECKI on 4 Sep 2018 at 17:15 Type: talk Session: Mon evening A precise description of the morphology of a material is necessary in order to establish structural and functional relationships [1]. Tools (methods) for morphological analysis should be quantitative techniques, which would yield objective and reproducible values for any morphological structure and enable statistically defined comparisons. The combination of the stereological analysis and fractal ... More Presented by Dr. Monika KRASOWSKA on 3 Sep 2018 at 17:35 Type: poster Session: Poster session Hybrid alginate membranes filled with various amount of magnetite ($Alg/Fe_{3}O_{4}$) and crosslinked using four different agents, i.e. calcium chloride ($AlgCa$), phosphoric acid ($AlgP$), glutaraldehyde ($AlgGA$) and citric acid ($AlgC$) were applied in pervaporative dehydration of ethanol and were described in paper [1]. In this work, the membranes are characterized by the parameters like: the ... More Presented by Dr. Monika KRASOWSKA, Mr. Michal CIESLA on 6 Sep 2018 at 15:00 Type: talk Session: Thu noon Spatially Correlated Noise (SCN) emerges in various physical systems, e.g. plasma dynamics, ensembles of active particles and in the self-assembly phenomena. SCN-driven dynamics resembles also the dynamic heterogeneity, i.e. the coexistence of domains with highly correlated mobility, which emerge in the glass transition. In this talk the multi-particle collective dynamics of particles driven by SC ... More Presented by Dr. Maciej MAJKA on 6 Sep 2018 at 11:45 Type: talk Session: Mon afternoon We apply the quantum open system formalism to describe the physics of two impurities immersed in a Bose-Einstein condensate. Here, the impurities are considered to be two quantum Brownian particles interacting with a bath of oscillators corresponding to the Bogoliubov modes of the condensate. We characterize the dynamics of the Brownian impurities with Langevin-like quantum stochastic equations ... More Presented by Mr. Christos CHARALAMBOUS on 3 Sep 2018 at 15:15 Type: poster Session: Poster session Galilean invariance states that the equations of motion of closed systems do not change under Galilei transformations to different inertial frames. However, real world systems typically violate it, as they are described by coarse-grained models, that integrate complex microscopic interactions indistinguishably as friction and stochastic forces. This leaves no alternative principle to assess a pri ... More Presented by Dr. Andrea CAIROLI on 6 Sep 2018 at 15:00 Type: poster Session: Poster session Phase space of cryptographic systems, such as RC4 stream cipher is an interesting object, to which statistical physics may be applied. Entropy of a trajectory and of a state space, transient phase, coexisting attractors, 1/f noise and complexity measures are just a few examples of physical ideas, that may be applied to cryptographic systems, which opens the possibility of many new research subject ... More Presented by Dr. Teodor BUCHNER on 6 Sep 2018 at 15:00 Type: talk Session: Mon afternoon We study level statistics across the many-body localization transition. An analysis of the gap ratio statistics from the perspective of inter- and intra-sample randomness allows us to pin point differences between transitions in random and quasi-random disorder, showing effects due to Griffiths rare events for the former case. Defining a mean gap ratio for a single realization of disorder we show ... More Presented by Mr. Piotr SIERANT on 3 Sep 2018 at 15:35 Type: talk Session: Mon evening In the paper [1] one of the boundary conditions at a thin membrane for normal diffusion has been obtained directly from experimental data. This condition contains the Riemann--Liouville fractional derivative of the$1/2$order and reads$P(0^-,t|x_0,0)=\left(a+b\frac{\partial^{1/2}}{\partial t^{1/2}}\right)P(0^+,t|x_0,0)$, the membrane is located at$x=0\$, the fundamental solution to normal diffus ... More
Presented by Dr. Tadeusz KOSZTOLOWICZ on 3 Sep 2018 at 17:15