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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.00059 |
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| _version_ | 1866917825337098240 |
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| author | Weiderpass, Gabriel Sharma, Mayur Sethi, Savdeep |
| author_facet | Weiderpass, Gabriel Sharma, Mayur Sethi, Savdeep |
| contents | A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal generalization of the kinetic Ising model in one dimension and solve it exactly. Our solution uncovers novel properties driven by non-reciprocity, such as underdamped phases, critically damped phases where a system of size $N$ is described by an $N^{th}$-order exceptional point, and wave phenomena influenced by the parity of $N$. Additionally, we examine the low-energy behavior of these systems in various limits, demonstrating that non-reciprocity leads to unique scaling behavior at zero temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Exact Solution for the Kinetic Ising Model with Non-Reciprocity Weiderpass, Gabriel Sharma, Mayur Sethi, Savdeep Statistical Mechanics Soft Condensed Matter High Energy Physics - Theory Exactly Solvable and Integrable Systems A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal generalization of the kinetic Ising model in one dimension and solve it exactly. Our solution uncovers novel properties driven by non-reciprocity, such as underdamped phases, critically damped phases where a system of size $N$ is described by an $N^{th}$-order exceptional point, and wave phenomena influenced by the parity of $N$. Additionally, we examine the low-energy behavior of these systems in various limits, demonstrating that non-reciprocity leads to unique scaling behavior at zero temperature. |
| title | An Exact Solution for the Kinetic Ising Model with Non-Reciprocity |
| topic | Statistical Mechanics Soft Condensed Matter High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2411.00059 |