Stochastic Analysis of Random Field Models and Disordered Systems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".
Deadline for manuscript submissions: 31 August 2026 | Viewed by 49
Special Issue Editor
Special Issue Information
Dear Colleagues,
Random field models of disordered systems, exhibiting rich stochastic structure, offer a fascinating window into complex phenomena, from phase transitions and criticality to avalanches and non-equilibrium dynamics. Central to statistical physics, probability theory, and applied mathematics, they reveal how disorder can profoundly reshape large-scale behaviour and generate emergent patterns absent in homogeneous systems. Local fluctuations and stochastic interactions in these systems can trigger large-scale events—such as avalanches and critical dynamics whose understanding requires a combination of rigorous probabilistic methods, analytical tools, and advanced computational techniques.
The proposed Special Issue aims to bring together contributions that deepen and advance mathematical, computational, and physical insights into the stochastic analysis of random field models and disordered systems. Particularly encouraged are submissions that address rigorous results, scaling theories, and probabilistic frameworks shedding light on universality, fluctuations, and rare events in disordered media. Equally welcome are simulation-based or hybrid analytical–numerical studies that investigate dynamics in paradigmatic systems such as random field Ising models, spin glasses, percolation-like structures, and related disordered frameworks. This Special Issue provides a platform to foster dialogue across disciplines, linking probability theory, statistical physics, and computational science, highlighting the rich interplay between stochastic analysis and the phenomenology of disordered systems. The collection will provide both foundational advances and novel applications, ultimately contributing to a deeper understanding of randomness and disorder in complex environments.
Our goal is to assemble a vibrant, high-quality collection of articles reflecting recent progress in the stochastic analysis of disordered systems, welcoming both rigorous mathematical results as well as innovative computational and interdisciplinary approaches that illuminate the universal mechanisms governing disordered media.
Dr. Sanja Janićević
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- stochastic dynamics and avalanche phenomena in random field models
- criticality, scaling, and universality in disordered systems
- probabilistic approaches to spin glasses, percolation, and related models
- fluctuations, finite-size effects, and large deviation analysis
- connections between stochastic processes and non-equilibrium phenomena in disordered media
- interdisciplinary applications in materials science, neuroscience, and complex networks
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
