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Tensile And Fatigue Properties Of Haynes ® 233 Manufactured By Wire-Arc Additive Manufacturing, Samuel Onimpa Alfred, Frank W. Liou, Mehdi Amiri

Mechanical and Aerospace Engineering Faculty Research & Creative Works

Haynes® 233 is a newly developed nickel-based superalloy currently in the early stages of commercial adoption. With the growing interest in fabricating large and complex components using wire-arc additive manufacturing (WAAM), this alloy presents a promising option for industrial applications. This study investigates the microstructure, tensile, and fatigue properties of heat-treated (HT) WAAM Haynes ® 233 and compares them to its wrought counterpart. Yield strength (YS), ultimate tensile strength (UTS), and fatigue strength of WAAM Haynes ® 233 are 709.4 MPa, 890.1 MPa, and 253.8 MPa, respectively. These values indicate a 63.8 % increase in YS, a 1.11 % decrease …

Functional Analysis Of R144 In The Flavin Oxidation Mechanism Of A Flavin-Dependent N-Monooxygenase, Reeder Robinson, Korliss Britt, Pablo Sobrado

Chemistry Faculty Research & Creative Works

Flavin-dependent N-monooxygenases (NMOs) are key enzymes in the biosynthesis of hydroxamate-containing siderophores, which are critical virulence factors in pathogenic microorganisms. SidA, an NMO from Aspergillus fumigatus, catalyzes the NADPH- and O2-dependent hydroxylation of L-ornithine (Orn) via a stable C4a-hydroperoxyflavin (FADOOH) intermediate. This study investigates the role of Arg144 in the catalytic cycle of SidA. Site-directed mutagenesis of Arg144 to alanine (R144A) significantly impaired both oxygen consumption and Orn hydroxylation, resulting in an approximately 60-fold reduction in kcat and a ~300-fold decrease in kcat/KM. The pH dependence, solvent kinetic isotope effects, and rapid-reaction kinetics reveal that R144 influences protonation events crucial …

Dcrda: Deadline-Constrained Function Scheduling In Serverless-Cloud Platform, Priyanka Ashok Birajdar, Divya Meena, Anurag Satpathy, Sourav Kanti Addya

Computer Science Faculty Research & Creative Works

The serverless computing model frees developers from operational and management tasks, allowing them to focus solely on business logic. This paper addresses the computationally challenging function-container-virtual machine (VM) scheduling problem, especially under stringent deadline constraints. We propose a two-stage holistic scheduling framework called DCRDA targeting deadline-constrained function scheduling. In the first stage, the function-to-container scheduling is modeled as a one-to-one matching game and solved using the classical Deferred Acceptance Algorithm (DAA). The second stage addresses the container-to-VM assignment, modeled as a many-to-one matching problem, and solved using a variant of the DAA, the Revised-Deferred Acceptance Algorithm (RDA), to account for …

Reflections: Two Linear B Signs (69, *47) In Light Of The Ancient Egyptian ‘Union Of Two Lands’ (Sema-Tawy), Gerald Leonard Cohen

Arts, Languages and Philosophy Faculty Research & Creative Works

This article suggests that two Linear B signs (69, *47) denote ‘union,’ specifically the ancient Egyptian ‘Union of Two Lands,’ i.e., North and South Egypt. The Egyptian term for this union is sema-taui (from sema ‘union’, ta ‘land’; -ui ‘dual; taui ‘two lands'), and the earlier suggestion that sign 69 derives from a picture of a leaf should perhaps be reconsidered in favor of the Egyptian sema-tawy symbol. Also, on a very speculative note I suggest that the Linear B pronunciation of sign 69 as /tu/ may derive from the /t/ and /u/ sounds of taui ‘two lands.’

Carbonated High-Al Steel Slag As Supplementary Cementitious Material: Synergy Of Carbonation At Elevated Temperature And Addition Of Gypsum, Nannan Zhang, Gao Deng, Wenyu Liao, Chuanlin Hu, Lingyu Chi, Hongyan Ma

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

High-Al steel slags, such as ladle metallurgy furnace (LMF) slag, substantially retard the early hydration of cement when incorporated into cement pastes, primarily due to the high mayenite content. In this study, carbonation of slag at elevated temperatures of 60°C and 80°C, combined with gypsum addition, was proposed to synergistically mitigate the retardation effect and enhance the early-age strength of cement pastes. The physical and chemical properties of slags carbonated at various temperatures were analyzed to elucidate their impact on cement performance as a supplementary cementitious material. The results indicate that higher temperatures enhance carbonation reactivity, accelerating the carbonation of …

Pendant Micro-Droplet Evaporation Fabricates Fiber-Optic Mof Gas Sensor In Seconds, Abhishek Prakash Hungund, Bohong Zhang, Narasimman Subramaniyam, Thomas Spudich, Ryan O'Malley, Farhan Mumtaz, Rex E. Gerald, Jie Huang

Electrical and Computer Engineering Faculty Research & Creative Works

The development of photonic-based gas sensors using metal–organic frameworks (MOFs) and other microporous solids is often a multistep, complex process, typically involving MOF synthesis, purification, and attachment of microcrystals to an optical fiber end face. This study introduces a one-step method that integrates MOF synthesis and sensor head fabrication directly onto the fiber end face, forming an extrinsic Fabry–Perot interferometer (EFPI) with a thin film of MOF microcrystals. The resulting film, only 3–10-μm-thick, enhances sensor response by enabling rapid gas detection within seconds. Utilizing a pendant micro-droplet evaporation technique, this method forms a microporous MOF layer in situ, allowing unreacted …

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Microstructure Densification In Cement Pastes Enabled By Novel Graphene Types, Sahil Surehali, Taihao Han, Ranjith Divigalpitiya, Aditya Kumar, Narayanan Neithalath

Materials Science and Engineering Faculty Research & Creative Works

The primary barriers hindering graphene's widespread adoption as a performance-enhancing additive in cement-based systems have traditionally been its prohibitive cost and the sustainability concerns associated with conventional manufacturing processes. However, these impediments have recently been mitigated by advancements in detonation synthesis techniques, enabling scalable, cost-effective, and environmentally favorable production of novel graphene types—specifically fractal graphene (FG) and reactive graphene (RG). This paper explores the influence of ultra-low dosages of FG and RG (≤ 0.04 % by mass of cement, which results in ∼20 % increase in compressive strengths) on the pore-structure features of cement pastes. Compared to the control paste, …

Magnesium Sulfate Attack Of Alite Paste And Mitigation By Surface Carbonation: Monitoring And Comparison Using Novel Portable Fiber-Optic Raman Probe, Bohong Zhang, Gao Deng, Hongyan Ma, Jie Huang

Electrical and Computer Engineering Faculty Research & Creative Works

Sulfate attack on cement matrix is still a "confused world" especially when magnesium sulfate (MgSO₄) is the sulfate source. Accurate assessment of sulfate attack is essential for evaluating the structural integrity and durability of concrete in relevant environments. This study presents a portable fiber-optic Raman probe approach with 125 μm spatial resolution, designed for depth-resolved sulfate ingress monitoring in tricalcium silicate (C₃S, Alite) pastes. The probe is also used to evaluate the effectiveness of surface carbonation in mitigating sulfate attack. The results demonstrate a strong correlation between sulfate penetration depth and Raman spectral intensity ratios of sulfate-related vibrational …

Effect Of Clays On The Spontaneous Imbibition Behavior Of Surfactant Solutions In Shale Oil Reservoirs, Ning Xu, Yanling Wang, Baojun Bai, Chuanbao Zhang, Shizhang Cui, Yu Zhang, Di Li, Wenjing Shi, Wenhui Ding

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

Surfactant-enhanced spontaneous imbibition is a proven method of enhancing oil recovery from shale reservoirs. However, a significant knowledge gap concerning the impact of clay minerals on surfactant-enhanced imbibition in shale reservoirs remains. Therefore, this study first analyzed the mineral composition and pore structure of the shale reservoirs. Subsequently, three surfactants were selected for spontaneous imbibition experiments. The influence of various clay minerals on the surfactant imbibition was assessed by considering various properties of the imbibition system. The results showed that the shale pores primarily consisted of macropores (44.03%) and mesopores (43.94%). Surfactants enhance the imbibition recovery by altering the wettability …

An Improved Method To Calculate Stripping Inflection Point (Sip) And Its Application In Evaluating Moisture Susceptibility Of Asphalt Mixtures, Ping Jiang, Bo Lin, Yizhuang David Wang, Jenny Liu, Seyed Alireza Ghanoon

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Accurately assessing asphalt mixtures' moisture susceptibility is critical because moisture damage can significantly reduce pavement durability, leading to premature failure and structural integrity of the pavement. The stripping inflection point (SIP), a moisture susceptibility index derived from the Hamburg Wheel Track (HWT) test, has practical merits in evaluating moisture susceptibility. However, current methods for determining the SIP showed low accuracy and high variability due to poor regression quality. Hence, this study aims to propose an improved method for calculating the SIP by modifying existing approaches to better capture the characteristics of rutting curves. Typical asphalt mixtures were used to conduct …

Nonlinear Stage Of Modulational Instability In Repulsive Two-Component Bose-Einstein Condensates, S. Mossman, S. I. Mistakidis, G. C. Katsimiga, A. Romero-Ros, G. Biondini, P. Schmelcher, P. Engels, P. G. Kevrekidis

Physics Faculty Research & Creative Works

Modulational instability (MI) is a fundamental phenomenon in the study of nonlinear dynamics, spanning diverse areas such as shallow water waves, optics, and ultracold atomic gases. In particular, the nonlinear stage of MI has recently been a topic of intense exploration and has been shown to manifest, in many cases, in the generation of dispersive shock waves (DSWs). In this Letter, we experimentally probe the MI dynamics in an immiscible two-component ultracold atomic gas with exclusively repulsive interactions, catalyzed by a hard-wall-like boundary produced by a repulsive optical barrier. We analytically describe the expansion rate of the DSWs in this …

Coupled-Channel Calculations Of Fully Differential Cross Sections For Ionization In 75-Kev P + He Collisions, K. H. Spicer, N. W. Antonio, M. S. Schöffler, Michael Schulz, A. S. Kadyrov

Physics Faculty Research & Creative Works

The fully differential cross section is the most detailed quantity that can be measured or calculated to study ionization in few-body systems. For 75 keV proton collisions with helium, various experimental data are available. However, previous theoretical calculations found significant discrepancies across the entire range of data. In this work the wave-packet convergent close-coupling method is extended to calculating these cross sections for electrons ejected with energies from 1 to 75.4 eV. The approach utilizes a two-center expansion and correlated two-electron helium wave functions to describe the four-body proton-helium system. While there is good agreement with the experiment for electrons …

Bioelectrochemical Systems: Prioritizing Energy Density, Long-Term Stability, And Validation, Luana C.I. Faria, Steffane Q. Nascimento, Filipe C.D.A. Lima, Graziela C. Sedenho, Thiago Bertaglia, Rodrigo M. Iost, João C.P. De Souza, Senentxu Lanceros-Méndez, Shelley D. Minteer, Serge Cosnier, Ariel L. Furst, Frank N. Crespilho

Chemistry Faculty Research & Creative Works

Pioneering work in bioelectrochemistry, particularly the employing of yeast cells to generate electrical current, had substantially favored the comprehension of bio electrochemical reactions. This foundational research has boosted the development of bio electrochemical systems (BES), which are significant for sustainable energy solutions. BES technologies, such as biobatteries, bio supercapacitors, and enzymatic and microbial biofuel cells, harness organic and biological systems to provide environmentally friendly alternatives for energy storage and conversion. Despite their potential, these technologies face challenges in achieving competitive energy densities and long-term stability compared to traditional accumulators and converters. Here, we introduce a new Ragone plot for BES, …

Paleoseismic Evidence Of Directivity For The 1976 Mw 7.5 Motagua Earthquake, Guatemala, Jonathan Obrist-Farner, Jeremy Maurer, Derek Gibson, Trenton Mcenaney, Andreas Eckert, William F. Kenney, Jeffrey Beeson, Nigel Wattrus, Quin Stangeland, Fatima Reyes

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

On 4 February 1976, a Mw 7.5 earthquake along the Motagua fault, Guatemala, ruptured ∼230 km of the North American and Caribbean plate boundary. Today, the plate boundary remains poorly monitored, and the 1976 earthquake is still not fully understood. Here, we present seismic reflection profiles and radiometrically dated sediment core data from six lakes around the Motagua fault, together with reports of destruction and a quasi-dynamic rupture model, which show that the 1976 earthquake experienced strong directivity that impacted the distribution of shaking. The earthquake left behind a detailed record of event deposits (EDs) in five of the six …

Multiply Differential Study Of Detachment With Simultaneous Target Excitation In Anion-Atom Collisions, M. Schulz, F. Herrmann, W. Zhang, D. V. Chicharro, A. Dorn, M. Grieser, F. Grussie, H. Kreckel, O. Novotny, F. Trost, A. Wolf, T. Pfeifer, C. D. Schröter

Physics Faculty Research & Creative Works

We have measured momenta of electrons and recoil ions in triple coincidence with neutralized projectiles for slow collisions between various anions and target atoms. From the data we extracted triple differential momentum and angular distributions of electrons ejected in detachment, in detachment with simultaneous target ionization (DI), and in detachment with simultaneous target excitation (DE). The DI rates relative to the DE rates depend sensitively on the projectile speed and on the properties of the target.

Continuous Pump-Probe Experiment To Observe Zeeman Wave-Packet Dynamics, K. L. Romans, K. Foster, S. Majumdar, B. P. Acharya, O. Russ, A. H.N.C. De Silva, Daniel Fischer

Physics Faculty Research & Creative Works

In this work, we study the coherent dynamics of an atomic Zeeman wave packet using a continuous pump-probe scheme. A polarized Zeeman wave packet is created in laser-cooled lithium atoms via few-photon excitation by a femtosecond laser pulse, producing a state with a magnetic moment tilted relative to an external magnetic field. The subsequent Larmor precession of the atomic magnetic moment is probed via continuous ionization by an optical dipole trap (ODT) laser. The resulting ionization fragments—photoelectrons and photo ions—are detected in coincidence using a cold target recoil ion momentum spectrometer (COLTRIMS). While the ODT facilitates further cooling of the …

High-Capacity, Reversible, And Energy-Efficient Water Vapor Sorption By Hierarchical Micro-To-Macroporous Carbon Aerogels From Polybenzoxazine And Polybenzodiazine, Vaibhav A. Edlabadkar, Rushi U. Soni, Stephen Y. Owusu, A. B.M.Shaheen Ud Doulah, Nicholas Leventis, Chariklia Sotiriou-Leventis

Chemistry Faculty Research & Creative Works

Quantitative, reversible water vapor sorption is in rising demand for applications ranging from home appliances to atmospheric water harvesting. However, most sorbents suffer from low water-uptake capacities, nonreusability, and especially high regeneration temperatures. This study addresses this challenge by introducing polybenzoxazine- (PBO) and polybenzodiazine-derived (PBDAZ) carbon aerogels as reversible high-capacity desiccants. PBO and PBDAZ aerogels were prepared from structurally related monomers via HCl-catalyzed ring opening polymerization. Both types of aerogels were first aromatized at 200–240 °C under air or O2 and then were carbonized at 800 °C under Ar. These as-prepared carbon aerogels were further etched at 1000 °C under …

Experimental And Theoretical Studies Of Novel Resilient Smart Shear Keys For Speedy Functional Recovery Of Highway Bridges After Extreme Events, Xinzhe Yuan, Jun Han, Jian Zhong, Haibin Zhang, Genda Chen

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Sacrificial shear keys in small-to-medium-span highway bridges mainly provide lateral support to the bridge superstructure under extreme events such as earthquake and/or tsunami. However, such support could lead to irreparable harm to important bridge elements like abutments and bent caps (base), delaying the functional recovery of bridges in the aftermath. In addition, existing designs of the shear key primarily emphasize resistant capacity but overlook resilience. This study introduces a new sliding, modular, adaptive, replaceable, and two-dimensional (SMART) shear key designed to enhance the resilience of I-girder highway bridges. The SMART shear key has three primary goals: 1) enabling the rapid …

Positive Effects Of Sulfates On Performance Of Cement Paste Incorporating Low-Grade, High-Aluminum Steel Slag, Nannan Zhang, Gao Deng, Wenyu Liao, Chuanlin Hu, Hongyan Ma

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Steel slag with high aluminum (Al) content significantly delays the early hydration of cement when used as a supplementary cementitious material (SCM). To address this challenge, this study investigates the effects of gypsum (Gy) and sodium sulfate (SS) additions on the performance of cement pastes with 30 % high-Al ladle metallurgy furnace (LMF) slag. The mechanical properties, hydration kinetics, phase evolution, as well as the early-age hydration mechanism were explored. The results indicate that C3S hydration is substantially inhibited under high-Al conditions, mainly attributed to the rapid dissolution and reaction of reactive aluminates (particularly mayenite) in the slag. Both Gy …

Generalized Transversality Conditions For Fuzzy Quantum-Symmetric Variational Problems Via Granular Approach, Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska, Linh Nguyen, Baruch Schneider, Tri Truong

Mathematics and Statistics Faculty Research & Creative Works

This paper investigates fuzzy q-symmetric variational problems with natural boundary conditions. Based on the relative distance measure fuzzy arithmetic and horizontal membership functions (HMFs), we propose novel concepts of differentiability and integrability for fuzzy functions on quantum geometric subsets of real numbers. Then, fundamental foundations of q-symmetric calculus of variations based on HMFs are provided. With the help of HMFs and granular q-symmetric differentiability, we derive necessary optimality conditions for fuzzy q-symmetric variational problems that depend on free endpoints. Moreover, sufficient conditions for minimizers of q-symmetric variational problems are obtained. Some numerical examples illustrating the proposed approach are presented.

Novel Statistical And Topological Data Analyses Of 2d Electronic Images, Robert L. Paige, Vic Patrangenaru

Mathematics and Statistics Faculty Research & Creative Works

In this paper, novel statistical and topological data analyses of 2D images are developed. One considers methodologies based on the Region Covariance Descriptor (RCD) and Topological Data Analysis (TDA) rooted in the simplicial as well as cubical persistent homologies. These methods provide statistical methods for data from populations of complex data objects that are elements of non-Euclidean spaces. The 2D image data considered consist of pictures of two leaves—A and B—from the same tree, twenty of each leaf, from different perspectives. The novel statistical procedures developed are used for correctly determining that leaf A images and leaf B images are …

Risk Allocation Model For Price Escalations In Construction Projects: Integrating Bargaining Game Theory And Probabilistic Bayesian Modeling, Yasser Jezzini, Rayan H. Assaad, Islam H. El-Adaway

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Economic market uncertainties, like those witnessed during pandemics and supply chain-related challenges, introduce complexity in ascertaining precise price estimates for construction materials. Despite some studies on risk allocation in construction projects utilizing quantitative and qualitative approaches, these studies fail to explain the underlying process of risk allocation due to a lack of theoretical support, indicating a need for a more structured and theoretically grounded approach to understanding risk allocation, specifically under volatile market conditions. To bridge this knowledge gap, this study proposes a novel game-theoretical model integrating Bayesian statistics and bargaining game theory dynamics, offering a robust framework for optimal …

Greedy Algorithm For Neural Networks For Indefinite Elliptic Problems, Qingguo Hong, Jiwei Jia, Young Ju Lee, Ziqian Li

Mathematics and Statistics Faculty Research & Creative Works

The paper presents a priori error analysis of the shallow neural network approximation to the solution to the indefinite elliptic equation and a cutting-edge implementation of the Orthogonal Greedy Algorithm (OGA) tailored to overcome the challenges of indefinite elliptic problems, which is a domain where conventional approaches often struggle due to the lack of coerciveness. A rigorous priori error analysis that shows the neural network's ability to approximate the solution of indefinite problems is confirmed numerically by OGA. We also present the error analysis of the relevant numerical quadrature. In particular, massive numerical implementations are conducted to justify the theory, …

A Complicated History Of Mitogenome Introgression Among Luxilus Species (Teleostei, Family Leuciscidae) In The Ozark Highlands, David D. Duvernell, Carson Arnold, Shila Koju, Abby J. Wicks, Thomas E. Dowling

Biological Sciences Faculty Research & Creative Works

Hybridization is common among minnows and shiners in the family Leuciscidae, and mitonuclear discordance can reveal evidence of historical hybridization and introgression events that have shaped extant species and populations. We have identified a notable case of serial mitogenome replacement in populations of two shiner species, Luxilus zonatus and L. chrysocephalus, which are syntopic in drainages throughout the northern and eastern Ozark Interior Highlands of North America. These mitogenome replacement events involved L. zonatus acquiring the mitogenome of L. chrysocephalus, and populations of L. chrysocephalus acquiring the mitogenome of an allopatric congeneric species, L. cornutus. The latter species has a …

Development Of A Balanced Mix Design Approach For Stone Matrix Asphalt Mixtures, Bo Lin, Yizhuang David Wang, Jenny Liu

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Stone Matrix Asphalt (SMA) has been widely used as a durable, high-quality mixture for primary roads. With the growing interest in incorporating innovative materials into SMA designs, developing effective and reliable mix design methodologies has become essential to ensure durability, sustainability, and cost-effectiveness. While performance tests have gained national acceptance for asphalt mix design and balanced mix design (BMD) methods have been adopted in many states for hot mix asphalt (HMA), SMA has not been fully considered with the BMD implementation. This study aimed to develop a BMD approach for SMA, incorporating both SMA-specific volumetric parameters and performance requirements. To …

Amorphous Sio2-Stabilized High-Valent Iron-Oxo Complexes Derived From Fe- And Si-Rich Solid Wastes For Efficient Tetracycline Hydrochloride Degradation, Cuirong Yan, Hongyan Ma, Xiunan Cai, Zhongqiu Luo, Jinyu Shi, Wenhao Li, Xintao Zhou

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

High-valent iron-oxo complexes show promise as green oxidants for water remediation but suffer from critical limitations in stability and pH adaptability. Herein, we report a facile method to synthesize amorphous SiO₂-stabilized high-valent iron-oxo complexes via Na⁺ diffusion activation of iron/silicon-rich copper smelting slag. In the complex, the synergistic coexistence of two distinct silica‑oxygen tetrahedral configurations-basic Na₂SiO₃ and acidic SiO2 oxides establishes a self-regulating pH buffering system that stabilizes solution neutrality. This unique structural design ensures sustained oxidative activity of the complex, representing a significant advancement over conventional silica-supported catalysts due to its intrinsic acid-base …

Interfacial Shear Transfer Between Steel H-Piles And Concrete Encased In Cfrp, Mohanad M. Abdulazeez, Binod Shrestha, Mohamed A. Elgawady

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Numerous in-service steel H-piles, a common structural element in the bridge industry, suffer severe corrosion. One of the adopted solutions is to use concrete jackets to encase the corroded sections. Therefore, interfacial shear strength between the uncorroded section and the jacket is crucial. This paper presents an experimental investigation of the interfacial shear stresses of 18 full-scale H-piles encased in concrete jackets and subjected to push-out static testing. The concrete jackets are confined using different carbon fiber-reinforced polymer (CFRP) confinement ratios. Different cross-sectional areas and distributions of shear studs are investigated. The average and maximum bond stresses are evaluated and …

Price Adjustment Clauses: Enhanced Price Volatility Forecasting For Construction Materials, Ahmed Shiha, Mariam Elazhary, Islam H. El-Adaway

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

Price adjustment clauses (PACs) are used by state departments of transportation (DOTs) to share the risk of material price fluctuations. Existing models that depict the price fluctuations of materials forecast a mean within a horizon while relying on the assumption of a constant volatility throughout that horizon. However, none of them examine whether the prices of construction material exhibit similar volatility following a sudden price surge or a price drop. The prospect of PACs and their associated trigger values is hindered in the absence of empirical assessments of their capacity to capture the volatilities in material prices. This paper fills …

Fractional Brownian Motion With Mean-Density Interaction: A Myopic Self-Avoiding Fractional Stochastic Process, Jonathan House, Rashad Bakhshizada, Skirmantas Janušonis, Ralf Metzler, Thomas Vojta

Physics Faculty Research & Creative Works

Fractional Brownian motion is a Gaussian stochastic process with long-range correlations in time; it has been shown to be a useful model of anomalous diffusion. Here, we investigate the effects of mutual interactions in an ensemble of particles undergoing fractional Brownian motion. Specifically, we introduce a mean-density interaction in which each particle in the ensemble is coupled to the gradient of the total, time-integrated density produced by the entire ensemble. We report the results of extensive computer simulations for the mean-squared displacements and the probability densities of particles undergoing one-dimensional fractional Brownian motion with such a mean-density interaction. We find …