Trung V. Phan

Yale University

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Robert H. Austin

Princeton University

Shengkai Li

Princeton University

Liyu Liu

Chongqing University

Gao Wang

University of Chinese Academy of Sciences

Van H. Do

University of Oklahoma

Ryan J. Morris

University of Edinburgh

Julia Bos

Université Paris Cité

Khanh Dang Tuan

Ho Chi Minh City University of Technology

Ramzi Khuri

Baruch College

Phuc Hong Pham

Hanoi University of Science and Technology

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Princeton University

Johns Hopkins University

Hanoi University of Science and Technology

Vietnam National University Ho Chi Minh City

Massachusetts Institute of Technology

Vietnam National University, Hanoi

New York University

Johns Hopkins Medicine

Ho Chi Minh City University of Technology

VNU University of Science

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Infinite AC Ladder with a "Twist"

arXiv (Cornell University) (2020)

Quan M. Nguyen Linh K. Nguyen Tung X. Tran Chinh D. Tran Truong H. Cai

The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple modification of the ladder topology and explain the numerical result for the complex impedance, using linear algebra. The infinity limit of the network's size corresponds to keeping only the eigenvectors of the transmission matrix with the largest eigenvalues, which can be viewed as the most dominant modes of electrical information that propagate through the network.

Infinity

Electrical network

Matrix (chemical analysis)

10.48550/arxiv.2010.05645

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Equal Radiation Frequencies from Different Transitions in the Non-Relativistic Quantum Mechanical Hydrogen Atom

arXiv (Cornell University) (2020)

Kim Tuan Do Trung V. Phan

Is it possible that two different transitions in the non-relativistic quantum mechanical model of the hydrogen atom give the same frequency? That is, can different energy level transitions in a hydrogen atom have the same photon radiation frequency? This question, which was asked during a Ph.D. oral exam in 1997 at the University of Colorado Boulder, is well-known among physics graduate students. We show a general solution to this question, in which all equifrequency transition pairs can be obtained from the set of solutions of a Diophantine equation. This fun puzzle is a simple yet concrete example of how number theory can be relevant to quantum systems, a curious theme that emerges in theoretical physics but is usually inaccessible to the general audience.

Hydrogen atom

Theme (computing)

10.48550/arxiv.2010.08338

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Field-Drive Robot Swarm Quasi-Transitions

Bulletin of the American Physical Society (2021)

Wang Gao Trung V. Phan Shengkai Li Michael Wombacher Guo Chen

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Memory and Personality Shape Ideological Polarization

arXiv (Cornell University) (2024)

Shengkai Li Trung V. Phan L. Di Carlo Gao Wang Van H. Do

We do experiments on physical agents with dynamic binary ideologies, deep memories of previous probes of neigboring agents, but fixed personalities that interpret the memory content to make ideological decisions. We find experimentally a critical memory depth below which complete ideological polarization of the collective cannot occur, and above which it is inevitable, an emergent symmetry breaking that is memory depth dependent. Depending on the details of the personalities, the polarization can be static or dynamic in time, even in certain cases chaotic due to nonreciprocity in how the agents respond to other agents. Thus, agents with different personalities and depths of memory serve as a physics analog of the ideology dynamics among biased individuals, illuminating how decisions influenced by individual memories of past interactions can shape and influence subsequent polarization. Perhaps such applications of physics-based systems to political systems will help us to understand the ideological instabilities observed today.

10.48550/arxiv.2409.06660

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A Schrödinger Equation for Evolutionary Dynamics

arXiv (Cornell University) (2023)

Vi D. Ao Duy V. Tran Kien T. Pham Duc Nguyen Minh Huy D. Tran

We establish an analogy between the Fokker-Planck equation describing evolutionary landscape dynamics and the Schr\"{o}dinger equation which characterizes quantum mechanical particles, showing how a population with multiple genetic traits evolves analogously to a wavefunction under a multi-dimensional energy potential in imaginary time. Furthermore, we discover within this analogy that the stationary population distribution on the landscape corresponds exactly to the ground-state wavefunction. This mathematical equivalence grants entry to a wide range of analytical tools developed by the quantum mechanics community, such as the Rayleigh-Ritz variational method and the Rayleigh-Schr\"{o}dinger perturbation theory, allowing us to not only make reasonable quantitative assessments but also explore fundamental biological inquiries. We demonstrate the effectiveness of these tools by estimating the population success on landscapes where precise answers are elusive, and unveiling the ecological consequences of stress-induced mutagenesis -- a prevalent evolutionary mechanism in pathogenic and neoplastic systems. We show that, even in a unchanging environment, a sharp mutational burst resulting from stress can always be advantageous, while a gradual increase only enhances population size when the number of relevant evolving traits is limited. Our interdisciplinary approach offers novel insights, opening up new avenues for deeper understanding and predictive capability regarding the complex dynamics of evolving populations.

Evolutionary Dynamics

10.48550/arxiv.2307.16044

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Collective Robot Sex on Dynamic Resource Landscapes

Bulletin of the American Physical Society (2020)

Wang Gao Trung V. Phan R. W. Austin Junle Qu Liyu Liu

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The Effect of Charge Discretization on the Electrical Field Inside a Conductor

The Physics Teacher (2024)

Nam H. Nguyen Quy C. Tran Thach A. Nguyen Trung V. Phan

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Nam H. Nguyen, Quy C. Tran, Thach A. Nguyen, Trung V. Phan; The Effect of Charge Discretization on the Electrical Field Inside a Conductor. Phys. Teach. 1 January 2024; 62 (1): 29–31. https://doi.org/10.1119/5.0115741 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAmerican Association of Physics TeachersThe Physics Teacher Search Advanced Search |Citation Search

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10.1119/5.0115741

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Remark on the Entropy Production of Adaptive Run-and-Tumble Chemotaxis

Minh D. N. Nguyen Phuc Hong Pham Khang V. Ngo Van H. Do Shengkai Li

Chemotactic active particles, such as bacteria and cells, exhibit an adaptive run-and-tumble motion, giving rise to complex emergent behaviors in response to external chemical fields. This motion is generated by the conversion of internal chemical energy into self-propulsion, allowing each agent to sustain a steady-state far from thermal equilibrium and perform works. The rate of entropy production serves as an indicates of how extensive these agents operate away from thermal equilibrium, providing a measure for estimating maximum obtainable power. Here we present the general framework for calculating the entropy production rate created by such population of agents from the first principle, using the minimal model of bacterial adaptive chemotaxis, as they execute the most basic collective action -- the mass transport.

Entropy production

10.2139/ssrn.4636288

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Study Of The Specificity Of Xanthene Dye Binding To Mitochondria

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE (1989)

James R. Bunting Eleanor Kamali Trung V. Phan Robert M. Dowben J. L. Matthews

The binding of Rhodamine 123 (Rh123), Rhodamine 6G (R6G), and Rhodamine B (RhB) (from the cationic xanthene series) to isolated rat liver mitochondria maintained in State IV respiration in the presence of rotenone (NADH oxidase inhibitor) was monitored by following changes in the fluorescence signal of the dyes. Rh123 and Rh6G bind strongly with quenching, to 0.25 and 0.20, respectively, and red shift of emission maxima by 10 nm. RhB binds much less potently with slight emission enhancement of 1.2. For Rh123 added to 0.5 mg/ml mitochondria' protein, a sigmoidal relationship is obtained between percentage fluorescence quenching and log of Rh123 concentration with a 50% inflection point of 3.5x10-6M, estimating an apparent association constant of 2.9x 105M-1 for Rh123 binding. Addition of 7 uM RhB during Rh123 titration moves the sigmoidal inflection point to higher Rh123 concentrations, suggesting either RhB enhancement of binding of Rh123 fluorescence quenching by energy transfer to RhB bound. These results suggest that, to a great degree, the binding of the xanthene dyes to mitochondrial sites is specific, competitive, and probably cooperative.

Xanthene

Rhodamine 123

Rhodamine

Rotenone

10.1117/12.960185

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Bacterial Route Finding and Collective Escape in Mazes and Fractals

Physical Review X (2020)

Trung V. Phan Ryan J. Morris Matthew E. Black Khanh Dang Tuan Ke-Chih Lin

Bacteria which grow not on the featureless agar plates of the microbiology lab but in the real world must navigate topologies which are nontrivially complex, such as mazes or fractals. We show that chemosensitive motile E. coli can efficiently explore nontrivial mazes in times much shorter than a no-memory (Markovian) walk would predict, and can collectively escape from a fractal topology. The strategies used by the bacteria include individual power-law probability distribution function exploration, the launching of chemotactic collective waves with preferential branching at maze nodes and defeating of fractal pumping, and bet hedging in case the more risky attempts to find food fail.3 MoreReceived 29 September 2019Revised 31 March 2020Accepted 20 May 2020DOI:https://doi.org/10.1103/PhysRevX.10.031017Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasCollective behaviorSelf-organizationPhysical SystemsBacteriaFractalsBiological Physics

10.1103/physrevx.10.031017

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