{"title":"Linear control theory for jammed particle systems.","authors":"Erin G Teich, Jason Z Kim, Dani S Bassett","doi":"10.1103/957n-78kx","DOIUrl":"https://doi.org/10.1103/957n-78kx","url":null,"abstract":"<p><p>Amorphous particulate matter constitutes a wide range of natural and synthetic materials. Despite this ubiquity, the way in which these systems' disordered microstructure couples to their often subtle and complex dynamical behavior is not yet fully understood, with profound consequences for phenomena ranging from landscape evolution to cellular unjamming during tumor metastasis. With this paper, we introduce tools from linear control theory that quantify system response to external input, and demonstrate their utility in elucidating the dynamics of jammed amorphous materials under stress. Our results indicate that average controllability, the response of a system to perturbation, strongly correlates with particle rearrangement in systems subject to quasistatic shear, implying that average controllability is an accurate predictor of rearrangement dynamics in certain contexts. Moreover, we show that the timescale over which average controllability is calculated can be tuned to optimize its predictive capacity for particle rearrangement. Values of the optimal timescale provide physical insight into the system; namely, that multiple rearranging particles participate on average in vibrational eigenmodes of lower and lower energy as the system is sheared until the rearrangement event. Broadly, our study demonstrates that linear control theory is a promising mathematical framework for predicting and designing mechanical response in disordered media.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025425"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantum statistical mechanical gauge invariance.","authors":"Johanna Müller, Matthias Schmidt","doi":"10.1103/dzz3-m28k","DOIUrl":"https://doi.org/10.1103/dzz3-m28k","url":null,"abstract":"<p><p>We address gauge invariance in the statistical mechanics of quantum many-body systems. The gauge transformation acts on the position and momentum degrees of freedom, and it is represented by a quantum shifting superoperator that maps quantum observables onto each other. The shifting superoperator is anti-self-adjoint, and it has noncommutative Lie algebra structure. These properties induce exact equilibrium sum rules that connect locally resolved force and hyperforce densities for any given observable. We argue that the framework is amenable to tight integration into quantum hyperdensity functional theory and that it generalizes naturally to nonequilibrium.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2","pages":"L022104"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Critical scaling and supercritical coarsening in active model B.","authors":"Abir Bhowmick, P K Mohanty","doi":"10.1103/qktx-n35r","DOIUrl":"https://doi.org/10.1103/qktx-n35r","url":null,"abstract":"<p><p>We study critical dynamics and phase-ordering kinetics in active model B (AMB) and its minimal extension, active model B+ (AMB+), using deterministic simulations in two dimensions. At criticality r_{c}=0, both models display identical mean-field scaling despite nonequilibrium currents, with order-parameter decay with time as m(t)∼t^{-α}, with α=1/4, and the dynamical exponent being z=4. A generalized equal-area construction yields the binodal densities and phase diagram of AMB+. For supercritical quenches, domain size grows as L(t)∼t^{1/3}(1+c/lnt), revealing logarithmic corrections to the classic t^{1/3} growth law; moreover, it is consistent with the functional renormalization group predictions for marginal activity in d=2. The logarithmic corrections are clearly evident in both AMB and AMB+ in the macrophase-separated regime. However, in AMB+, domain growth is arrested in the parameter regime where the active current opposes the formation of macroscopic clusters, leading to long-lived microphase-separated states.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024134"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pawat Akara-Pipattana, Sergei Nechaev, Bogdan Slavov
{"title":"Collective communication in a transparent world: Phase transitions in a many-body Potts model and a social-quantum correspondence.","authors":"Pawat Akara-Pipattana, Sergei Nechaev, Bogdan Slavov","doi":"10.1103/ptty-5zxd","DOIUrl":"https://doi.org/10.1103/ptty-5zxd","url":null,"abstract":"<p><p>Digitally connected societies approach a \"transparent\" regime where all agents can interact without geographic or social barriers-a limit realized by complete graph topologies. We construct a mean-field theory of a q-state Potts model with many-body interactions on this geometry, modeling agents from q distinct communities. Analyzing the illustrative case of competing pairwise and three-body couplings, we identify three equilibrium phases in the thermodynamic limit: symmetric (all communities equal), reduced symmetry (q-1 communities surviving), and consensus (one dominant group). For two-community systems, we identify a special coupling regime where the influence of interactions cancels out, yielding purely entropy-driven dynamics-a statistical physics representation of atomized societies without structured influence. Monte Carlo simulations confirm these regimes and reveal metastable switching dynamics in finite systems. Furthermore, we establish a correspondence (q↔N) between this model and a mean-field SU(N) quantum spin system with quadratic and cubic interactions. This \"social-quantum\" correspondence suggests a representation-theoretic description for classifying symmetry-broken macrostates and offers an interpretive link between quantum mean-field phase structure and opinion stratification.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024107"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fundamental scaling constraints for equilibrium molecular computing.","authors":"Erin Crawley, Qian-Ze Zhu, Michael P Brenner","doi":"10.1103/x9sw-h1rh","DOIUrl":"https://doi.org/10.1103/x9sw-h1rh","url":null,"abstract":"<p><p>Molecular computing promises massive parallelization to explore solution spaces, but so far practical implementations remain limited due to off-target binding and exponential proliferation of competing structures. Here, we investigate the theoretical limits of equilibrium self-assembly systems for solving computing problems, focusing on the directed Hamiltonian path problem (HPP) as a benchmark for NP-complete problems. The HPP is encoded via particles with directional lock-key patches, where self-assembled chains form candidate solution paths. We determine constraints on the required energy gap between on-target and off-target binding for an acyclic HPP to be encoded and solved. We simultaneously examine whether components with the required energy gap can be designed. Combining these results yields a phase diagram identifying regions where HPP problems are both solvable and designable. These results establish fundamental upper bounds on equilibrium molecular computation and highlight the necessity of nonequilibrium approaches for scalable molecular computing architectures.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025403"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constrained interactions and sublinear multifractality in multiscale systems.","authors":"Madhur Mangalam, Damian G Kelty-Stephen","doi":"10.1103/vnl1-v81t","DOIUrl":"https://doi.org/10.1103/vnl1-v81t","url":null,"abstract":"<p><p>Multifractal formalisms characterize complex interactions across scales in natural and behavioral systems. They capture an excess form of power-law scaling beyond the single power-law relationship between fluctuation and scale in monofractality. Because monofractality fits neatly within the general linear model via fractional integration, multifractality can provide evidence of nonlinear correlations across scales. That is, multifractality might reflect variability exceeding the correlations articulable by the best linear model. The classic expectation under nonlinear correlations across scales is that multifractal spectra for the original series, Δα_{orig}, will show statistically significantly greater width than multifractal spectrum widths for linear surrogates, Δα_{surr}, yielding large positive t statistics, t_{MF}. Thus, Δα_{orig}≫Δα_{surr} supports the conclusion of nonlinear correlations across scales consistent with multiplicative cascade dynamics. By contrast, the interpretation of sublinear multifractality-Δα_{orig}≪Δα_{surr}, and hence negative t_{MF}-has been less clear, including whether it reflects or rules out nonlinear correlations across scales consistent with multiplicative cascades. We identify five distinct mechanisms by which random multiplicative cascades and related linear processes can in principle produce nonlinear correlations with significantly negative t_{MF}, that is, Δα_{orig}≪Δα_{surr}, and we characterize which mechanisms do so robustly under stringent surrogate-testing protocols. We show how various nonmultiplicative constraints on the nonlinear correlations across scales of a multiplicative cascade might produce sublinear multifractality. These constraints may serve as analogues to the physical limits characteristic of homeostatic regulation and feedback control in complex systems. Altogether, this framework builds expectations for how cascade dynamics collaborate with regulatory processes in physics, biology, and engineered systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024215"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A W Klemmer, S E Kreher, T M Hutchinson, E P Yu, T J Awe, C L Rousculp, D H Dolan, B T Hutsel, K C Yates, K J Swanson, J J Iratcabal, A Dahal, B S Bauer
{"title":"Magnetic compression and solid-liquid phase transition of current-carrying conductors measured by photon Doppler velocimetry.","authors":"A W Klemmer, S E Kreher, T M Hutchinson, E P Yu, T J Awe, C L Rousculp, D H Dolan, B T Hutsel, K C Yates, K J Swanson, J J Iratcabal, A Dahal, B S Bauer","doi":"10.1103/c1m7-qfbf","DOIUrl":"https://doi.org/10.1103/c1m7-qfbf","url":null,"abstract":"<p><p>Metal conductors pulsed with intense electrical current are of fundamental importance to physics and engineering, yet their motion, equation-of-state (EOS), and electrical conductivity during the solid-liquid phase transition are not fully understood. Photon Doppler velocimetry (PDV) measurements of electrically thick aluminum, copper, and nickel conductors pulsed by intense current reveal that the reflective surface undergoes distinct changes in acceleration throughout the current rise. Metal surfaces were measured with sufficient resolution to capture radial magnetic compression and changes in radial acceleration that, in a model-assisted framework, diagnose the duration of the solid-liquid phase transition. Parylene-N-coated copper and nickel loads exhibited different compression dynamics. These experimental measurements serve as a benchmark, guiding the selection of EOS and conductivity tables for improved modeling and simulation accuracy.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025210"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Performance evaluation of variational quantum eigensolver and quantum dynamics algorithms on the advection-diffusion equation.","authors":"A Barış Özgüler","doi":"10.1103/mr76-1wtz","DOIUrl":"https://doi.org/10.1103/mr76-1wtz","url":null,"abstract":"<p><p>Near-term quantum algorithms are a promising route to solving partial differential equations, but gauging their true potential requires separating algorithmic performance from sampling and hardware noise. We benchmark a ground-state variational quantum eigensolver (VQE), cast as a variational quantum linear solver, against the Trotterization, variational quantum imaginary time evolution, and adaptive variational quantum dynamics simulation methods applied to the one-dimensional advection-diffusion equation in the recent quantum-dynamics study by Alipanah et al. [Phys. Rev. Res. 7, 043318 (2025)2643-156410.1103/ndc3-bdwt] at matched grid and problem size. On a noiseless state-vector simulator the N=4 VQE drives the final-time infidelity to a numerical floor (∼10^{-14}) once the depth reaches L≈5, an algorithmic ceiling set by exact expectation values. Evaluating the same solver with a finite number S of measurement shots, still without hardware noise, makes the infidelity sampling limited, following 1-f≈c/S (a best-case readout-sampling estimate, with the solution's signs assumed known), providing a regime-matched comparison with the shot-based emulator of Alipanah et al. and explaining the gap to their noisy hardware runs (>10^{-1}). The benchmark thus decomposes the near-term error budget into algorithmic, sampling, and hardware contributions, with a matched-depth resource comparison. The formulation applies without modification across N=4,5,6 qubits and to a two-dimensional (eight-qubit, 16×16) problem evolved to t=1, where the state-vector VQE holds a ∼10^{-7} algorithmic-ceiling infidelity against the sampling-limited ∼10^{-5} of the corresponding shot-based simulation, a difference of measurement regime rather than algorithmic superiority.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025306"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Far tails of the biased continuous-time random-walk model in the short-time limit.","authors":"Wanli Wang, Kaixin Zhang, Yuda Cheng","doi":"10.1103/pn9s-lgxx","DOIUrl":"https://doi.org/10.1103/pn9s-lgxx","url":null,"abstract":"<p><p>It has been observed in numerous experiments, simulations, and various theoretical studies that the spreading of particles can be modeled by the continuous-time random walk. We consider two widely used cases, namely Gaussian and discrete displacements, to compute the position distribution and demonstrate the emergence of exponential decay in the far tails when a bias is introduced. We further analyze the temporal rate function and the positional rate function to examine the convergence of the theoretical predictions. For Gaussian displacements, we also discuss the relationship between the position distributions with and without bias in different asymptotic limits.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024102"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Emergence of minimal chimera in uncoupled oscillators under common frequency-modulated driving: Theory and experiment.","authors":"Debabrata Biswas, Tanmoy Banerjee","doi":"10.1103/cd5n-fr86","DOIUrl":"https://doi.org/10.1103/cd5n-fr86","url":null,"abstract":"<p><p>We report the experimental realization of minimal chimera states in a system of three uncoupled oscillators driven solely by frequency-modulated forcing. Unlike conventional scenarios where chimera states emerge due to interactions among oscillators, here the coexistence of coherent and incoherent dynamics arises entirely from a common external modulation of a system parameter. By tuning the modulation amplitude and frequency, the system exhibits transitions between global synchronization, global incoherence, and minimal chimera states. The stability of these regimes is quantified using the maximal Lyapunov exponent, while a synchronization order parameter is employed to characterize the degree of coherence. A systematic exploration of the parameter space reveals well-defined regions associated with distinct dynamical behaviors. To provide analytical understanding, we employ a phase-reduction approach and derive the corresponding phase dynamics, which elucidate the mechanisms underlying phase locking and desynchronization. The robustness of the proposed mechanism is further demonstrated in a time-delayed chaotic system. Finally, experimental results obtained from an electronic circuit realization confirm the emergence of minimal chimera states under frequency-modulated driving. These findings establish external modulation as a viable route to chimera formation without coupling, offering a unique perspective on collective dynamics in driven nonlinear systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024209"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}