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Monte Carlo simulations show that perturbations forcing this system off equilibrium make it act as a Brownian molecular motor which, in the lattice gas interpretation, transports particles along the chain. We determine the particle current under various different circumstances, in particular as a function of the ra"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.3632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-14T13:11:42Z","cross_cats_sorted":[],"title_canon_sha256":"34380f2d64a090d1955bdab3cb8d8fcdf0960ef8d84d6c1493feb2621d2d430e","abstract_canon_sha256":"837a79c026017569eb6bed60f8fc672d61a3af97b7857de4042e3c787732769e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:37.127736Z","signature_b64":"hzwWtQLdDUvc0ac8Er3Eze6jHnV/cpy+UCL0CMspFRW7AwN0bdozlzzw786kqUYAyjqLUvLUsg2r81nQ4nylBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75ede5c944cd0337c804d60a8046457f57ba8e642c83b5fb3cb0b3a768c8aa69","last_reissued_at":"2026-05-18T01:42:37.127192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:37.127192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A parity breaking Ising chain Hamiltonian as a Brownian motor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Cornu, H.J. Hilhorst","submitted_at":"2014-07-14T13:11:42Z","abstract_excerpt":"We consider the translationally invariant but parity (left-right symmetry) breaking Ising chain Hamiltonian \\begin{equation} {\\cal H} = -U_2\\sum_{k} s_{k}s_{k+1} - U_3\\sum_{k} s_{k}s_{k+1}s_{k+3} \\nonumber \\end{equation} and let this system evolve by Kawasaki spin exchange dynamics. Monte Carlo simulations show that perturbations forcing this system off equilibrium make it act as a Brownian molecular motor which, in the lattice gas interpretation, transports particles along the chain. 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