UROP Research Mentor Project Submission Portal: Submission #1083 | Center for Undergraduate Research and Academic Engagement

Submission information

Submission Number: 1083

Submission ID: 20011

Submission UUID: d237ceea-999e-47ac-9eab-8d5ca176a09b

Submission URI: /urop-research-mentor-project-submission-portal

Submission Update: /urop-research-mentor-project-submission-portal?token=nHyinWp2lgMyluJZc917gtHAy44llWRGl0JH4o6OqyE

Created: Tue, 08/05/2025 - 04:19 PM

Completed: Tue, 08/05/2025 - 04:19 PM

Changed: Wed, 10/29/2025 - 12:36 PM

Remote IP address: 144.174.214.46

Submitted by: Anonymous

Language: English

Is draft: No

Webform: UROP Project Proposal Portal

Submitted to: UROP Research Mentor Project Submission Portal

Research Mentor Information

Primary Research Mentor Name Sandeep Joy

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Contact Email (FSU Email if affiliated) sj24u@fsu.edu

Position Title Post Doc

FSU College (if applicable) Arts and Sciences

FSU Department or Non-FSU Organization Affiliation Physics/National High Magnetic Field Laboratory

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Additional Research Mentor(s)

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Overall Project Details

Title of the Project ***Random walk through a critical landscape

Project Keywords Understanding the fate of a random walker couples to degree of freedom which is at criticality

Are you currently looking for research assistants? No

Number of Research Assistants Needed 1

Relevant Research Assistant Major(s) Open to all majors

Project Location: On FSU Main Campus

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Please select the choice that most accurately describes your expectations for the research assistant(s): Fully Remote

Approximately how many hours a week would the research assistant(s) need to work? 5-10 hours

Roughly what time frame do you expect research assistant(s) to work? Flexible schedule (Combination of business and outside of business. TBD between student and research mentor.)

Overall Research Project Description This project aims to understand the long-time behavior of a random walker coupled to a degree of freedom undergoing a phase transition. In a conventional random walk, the long-time behavior is diffusive. Here, we consider a model in which the 'spin' of the random walker is coupled to the spins of an underlying lattice. The lattice is modeled as an Ising system, where spins tend to align due to energetic favorability, but fluctuate at finite temperatures.
In the zero-temperature limit, all lattice spins are aligned, and the random walker effectively does not experience their presence. At very high temperatures, the lattice spins are uncorrelated and random, again rendering the walker insensitive to the background on average. However, near the critical point of the Ising model, long-range spin correlations emerge. In this regime, the walker’s spin becomes entangled with the lattice spins, and these critical correlations may significantly alter its diffusive dynamics.

This project is partially motivated by the work presented here: https://journals.aps.org/prl/abstract/10.1103/ff28-tt6c.

Research Tasks 1) Understanding the basic of random walks
2) Implementing simulation on Python or equivalent coding languages
3) Analyze the data and understand it intuitively
4) Summarize, present and publish the work

Skills that research assistant(s) may need: Open to learning

Mentoring Philosophy The most important shared value is that the mentor and mentee support each other and serve as mutual resources. We strive to cultivate and maintain a 'culture of tolerating ignorance,' where members feel comfortable expressing what they do and don’t understand—without fear of judgment or scorn. Everyone is encouraged to listen, teach, and learn from one another whenever possible.

(Adapted from Prof Brian Skinner's website, https://sites.google.com/view/skinner-physics/group-values-and-expectations)

Please provide a link to your publications, a video clip, or a website for your research project (if applicable): https://sandeep-joy.github.io

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Are you interested in participating in the UROP Research Mentor Roundtable? No

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UROP Program Elements

Mentor Handbook, FAQs, and Communication Yes

UROP Performance Evaluation Yes

Materials Grant Yes

UROP Poster Presentation Yes

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Year 2025

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