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Tu, Z C (2026) A minimal model with stochastically broken reciprocity. Communications in Theoretical Physics, 78 (2). doi:10.1088/1572-9494/ae0633

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Reference TypeJournal (article/letter/editorial)
TitleA minimal model with stochastically broken reciprocity
JournalCommunications in Theoretical Physics
AuthorsTu, Z CAuthor
Year2026 (February 1)Volume78
Issue2
PublisherIOP Publishing
DOIdoi:10.1088/1572-9494/ae0633Search in ResearchGate
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Mindat Ref. ID19087613Long-form Identifiermindat:1:5:19087613:7
GUID0
Full ReferenceTu, Z C (2026) A minimal model with stochastically broken reciprocity. Communications in Theoretical Physics, 78 (2). doi:10.1088/1572-9494/ae0633
Plain TextTu, Z C (2026) A minimal model with stochastically broken reciprocity. Communications in Theoretical Physics, 78 (2). doi:10.1088/1572-9494/ae0633
In(2026, February) Communications in Theoretical Physics Vol. 78 (2). IOP Publishing

References Listed

These are the references the publisher has listed as being connected to the article. Please check the article itself for the full list of references which may differ. Not all references are currently linkable within the Digital Library.

Israelachvili (1992)
Not Yet Imported: - journal-article : 10.1016/S0370-1573(00)00141-1

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Poncet, Alexis, Bartolo, Denis (2022) When Soft Crystals Defy Newton’s Third Law: Nonreciprocal Mechanics and Dislocation Motility. Physical Review Letters, 128 (4) doi:10.1103/physrevlett.128.048002
Not Yet Imported: - journal-article : 10.1103/PhysRevX.5.011035

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Marchetti, M. C., Joanny, J. F., Ramaswamy, S., Liverpool, T. B., Prost, J., Rao, Madan, Simha, R. Aditi (2013) Hydrodynamics of soft active matter. Reviews of Modern Physics, 85 (3). 1143-1189 doi:10.1103/revmodphys.85.1143
Bechinger, Clemens, Di Leonardo, Roberto, Löwen, Hartmut, Reichhardt, Charles, Volpe, Giorgio, Volpe, Giovanni (2016) Active Particles in Complex and Crowded Environments. Reviews of Modern Physics, 88 (4). doi:10.1103/revmodphys.88.045006
Not Yet Imported: - journal-article : 10.1103/PhysRevX.12.010501

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Chen, Qiu-shi, Patelli, Aurelio, Chaté, Hugues, Ma, Yu-qiang, Shi, Xia-qing (2017) Fore-aft asymmetric flocking. Physical Review E, 96 (2) doi:10.1103/physreve.96.020601
Dadhichi, Lokrshi Prawar, Kethapelli, Jitendra, Chajwa, Rahul, Ramaswamy, Sriram, Maitra, Ananyo (2020) Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks. Physical Review E, 101 (5) doi:10.1103/physreve.101.052601
Kreienkamp, Kim L, Klapp, Sabine H L (2022) Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings. New Journal of Physics, 24 (12) 123009 doi:10.1088/1367-2630/ac9cc3
Vicsek, Tamás, Czirók, András, Ben-Jacob, Eshel, Cohen, Inon, Shochet, Ofer (1995) Novel Type of Phase Transition in a System of Self-Driven Particles. Physical Review Letters, 75 (6). 1226-1229 doi:10.1103/physrevlett.75.1226
Najafi, Ali, Golestanian, Ramin (2004) Simple swimmer at low Reynolds number: Three linked spheres. Physical Review E, 69 (6) doi:10.1103/physreve.69.062901
Golestanian, Ramin, Ajdari, Armand (2008) Analytic results for the three-sphere swimmer at low Reynolds number. Physical Review E, 77 (3) doi:10.1103/physreve.77.036308
Not Yet Imported: - journal-article : 10.1103/PhysRevE.103.062113

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Yasuda, Kento, Hosaka, Yuto, Sou, Isamu, Komura, Shigeyuki (2021) Odd Microswimmer. Journal of the Physical Society of Japan, 90 (7) 75001pp. doi:10.7566/jpsj.90.075001
Niu, Ran, Palberg, Thomas, Speck, Thomas (2017) Self-Assembly of Colloidal Molecules due to Self-Generated Flow. Physical Review Letters, 119 (2). doi:10.1103/physrevlett.119.028001
Schmidt, Falko, Liebchen, Benno, Löwen, Hartmut, Volpe, Giovanni (2019) Light-controlled assembly of active colloidal molecules. The Journal of Chemical Physics, 150 (9). 94905pp. doi:10.1063/1.5079861
Meredith, Caleb H., Moerman, Pepijn G., Groenewold, Jan, Chiu, Yu-Jen, Kegel, Willem K., van Blaaderen, Alfons, Zarzar, Lauren D. (2020) Predator–prey interactions between droplets driven by non-reciprocal oil exchange. Nature Chemistry, 12 (12) 1136-1142 doi:10.1038/s41557-020-00575-0
Wu, Changjin, Dai, Jia, Li, Xiaofeng, Gao, Liang, Wang, Jizhuang, Liu, Jun, Zheng, Jing, Zhan, Xiaojun, Chen, Jiawei, Cheng, Xiang, Yang, Mingcheng, Tang, Jinyao (2021) Ion-exchange enabled synthetic swarm. Nature Nanotechnology, 16 (3) 288-295 doi:10.1038/s41565-020-00825-9
Gardi, Gaurav, Sitti, Metin (2023) On-Demand Breaking of Action-Reaction Reciprocity between Magnetic Microdisks Using Global Stimuli. Physical Review Letters, 131 (5) American Physical Society (APS) doi:10.1103/physrevlett.131.058301
Lavergne, François A., Wendehenne, Hugo, Bäuerle, Tobias, Bechinger, Clemens (2019) Group formation and cohesion of active particles with visual perception–dependent motility. Science, 364 (6435). 70-74 doi:10.1126/science.aau5347
Chen, Jianchao, Lei, Xiaokang, Xiang, Yalun, Duan, Mengyuan, Peng, Xingguang, Zhang, H. P. (2024) Emergent Chirality and Hyperuniformity in an Active Mixture with Nonreciprocal Interactions. Physical Review Letters, 132 (11) doi:10.1103/physrevlett.132.118301
Liu, Yanping, Wang, Gao, Wang, Peilong, Yuan, Daming, Hou, Shuaixu, Jin, Yangkai, Wang, Jing, Liu, Liyu (2023) Orderly hysteresis in field-driven robot swarm active matter. Chinese Physics B, 32 (6) 68701 doi:10.1088/1674-1056/acc803
Wang, Gao, Phan, Trung V., Li, Shengkai, Wombacher, Michael, Qu, Junle, Peng, Yan, Chen, Guo, Goldman, Daniel I., Levin, Simon A., Austin, Robert H., Liu, Liyu (2021) Emergent Field-Driven Robot Swarm States. Physical Review Letters, 126 (10) doi:10.1103/physrevlett.126.108002
Banerjee, Debarghya, Souslov, Anton, Abanov, Alexander G., Vitelli, Vincenzo (2017) Odd viscosity in chiral active fluids. Nature Communications, 8. doi:10.1038/s41467-017-01378-7
Scheibner, Colin, Souslov, Anton, Banerjee, Debarghya, SurĂłwka, Piotr, Irvine, William T. M., Vitelli, Vincenzo (2020) Odd elasticity. Nature Physics, 16 (4) 475-480 doi:10.1038/s41567-020-0795-y
Not Yet Imported: Physical Review E - journal-article : 10.1103/PhysRevE.103.042610

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Not Yet Imported: Frontiers in Physics - journal-article : 10.3389/fphy.2022.951465

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Not Yet Imported: - journal-article : 10.1146/annurev-conmatphys-040821-125506

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Kobayashi, Akira, Yasuda, Kento, Ishimoto, Kenta, Lin, Li-Shing, Sou, Isamu, Hosaka, Yuto, Komura, Shigeyuki (2023) Odd Elasticity of a Catalytic Micromachine. Journal of the Physical Society of Japan, 92 (7) doi:10.7566/jpsj.92.074801
Lin (2024) Phys. Rev. Res. Emergence of odd elasticity in a microswimmer using deep reinforcement learning 6, 033016
Toner, John, Tu, Yuhai (1995) Long-Range Order in a Two-Dimensional DynamicalXYModel: How Birds Fly Together. Physical Review Letters, 75 (23). 4326-4329 doi:10.1103/physrevlett.75.4326
Fruchart, Michel, Hanai, Ryo, Littlewood, Peter B., Vitelli, Vincenzo (2021) Non-reciprocal phase transitions. Nature, 592 (7854) 363-369 doi:10.1038/s41586-021-03375-9
Tan, Tzer Han, Mietke, Alexander, Li, Junang, Chen, Yuchao, Higinbotham, Hugh, Foster, Peter J., Gokhale, Shreyas, Dunkel, Jörn, Fakhri, Nikta (2022) Odd dynamics of living chiral crystals. Nature, 607 (7918) 287-293 doi:10.1038/s41586-022-04889-6
Yang 杨, Bing 冰, Wang 王, Yanting 延颋 (2025) Characteristics of phase transitions in dry aligning active matter. Communications in Theoretical Physics, 77 (6). doi:10.1088/1572-9494/ada429
Chen, Lu, Tu, Z C (2023) Flocking and clustering in mixtures of self-propelled particles with or without active reorientation. Communications in Theoretical Physics, 75 (11) 115603 doi:10.1088/1572-9494/acfcaf
Zhang, Jian, Huang, Tao, Xu, Guoqing, Chen, Yong (2022) Density fluctuations of two-dimensional active-passive mixtures. Communications in Theoretical Physics, 74 (7) 75601 doi:10.1088/1572-9494/ac71fe
Not Yet Imported: - journal-article : 10.1088/0256-307X/40/10/100505

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Yang, Qing, Zhu, Hongwei, Liu, Peng, Liu, Rui, Shi, Qingfan, Chen, Ke, Zheng, Ning, Ye, Fangfu, Yang, Mingcheng (2021) Topologically Protected Transport of Cargo in a Chiral Active Fluid Aided by Odd-Viscosity-Enhanced Depletion Interactions. Physical Review Letters, 126 (19) doi:10.1103/physrevlett.126.198001
Wang, Yujia, Ventéjou, Bruno, Chaté, Hugues, Shi, Xia-qing (2024) Condensation and Synchronization in Aligning Chiral Active Matter. Physical Review Letters, 133 (25). doi:10.1103/physrevlett.133.258302
Fu (2025) Acta Phys. Sin. Directional transport of non-reciprocal coupled Brownian particles 74, 170501
Not Yet Imported: Physical Review E - journal-article : 10.1103/PhysRevE.108.064409

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Not Yet Imported: - journal-article : 10.1103/PhysRevResearch.5.043032

If you would like this item imported into the Digital Library, please contact us quoting Journal ID
Reichl (1998) , 237
Gardiner (1997) , 97
Sekimoto (2010) , 189
Seifert, Udo (2012) Stochastic thermodynamics, fluctuation theorems and molecular machines. Reports on Progress in Physics, 75 (12). 126001pp. doi:10.1088/0034-4885/75/12/126001
Li, Geng, Tu, Z. C. (2019) Stochastic thermodynamics with odd controlling parameters. Physical Review E, 100 (1) doi:10.1103/physreve.100.012127
Kumar, K. Vijay, Ramaswamy, Sriram, Rao, Madan (2008) Active elastic dimers: Self-propulsion and current reversal on a featureless track. Physical Review E, 77 (2) doi:10.1103/physreve.77.020102
Not Yet Imported: - journal-article : 10.1088/1742-5468/2008/11/P11008

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