{"query": "Fokker–Planck", "count": 20, "results": [{"id": "card_n_041763374eca", "title": "Fokker–Planck & Liouville — probability flow in statistical mechanics", "shelf": "science", "surface": "secular", "snippet": "The stochastic instantiation of probability-as-fluid. Fokker–Planck sets the current\nJ = μρ − D∇ρ (drift + diffusion); its steady state is the Boltzmann distribution ρ ∝ e^(−U/kT),\nwhich makes the cur"}, {"id": "card_n_8530c72a2201", "title": "Fluid probability dynamics — one continuity equation across physics, geometry, and ML", "shelf": "science", "surface": "secular", "snippet": "One equation wears many clothes. Probability is a conserved fluid: the continuity equation\ndρ/dt + ∇·J = 0 (current J = ρv) says density is never created or destroyed — it only flows. The\nsame skeleto"}, {"id": "card_c_ec9bfe0734fd", "title": "Gibbs free energy — will a reaction go? ↔ Fokker–Planck & Liouville — probability flow", "shelf": "connections", "surface": null, "snippet": "This is the second law of thermodynamics doing chemistry, the same entropy arrow that pointed the Fokker–Planck fluid toward equilibrium.  — a concord the card itself states; mined + verified."}, {"id": "card_src_word_planck", "title": "planck", "shelf": "dictionary", "surface": "secular", "snippet": "planck: (noun) German physicist whose explanation of blackbody radiation in the context of quantized energy emissions initiated quantum theory (1858-1947) — syn: Max Planck, Max Karl Ernst Ludwig Plan"}, {"id": "card_src_word_max_planck", "title": "max planck", "shelf": "dictionary", "surface": "secular", "snippet": "max planck: (noun) German physicist whose explanation of blackbody radiation in the context of quantized energy emissions initiated quantum theory (1858-1947) — syn: Planck, Max Karl Ernst Ludwig Plan"}, {"id": "card_src_word_max_karl_ernst_ludwig_planck", "title": "max karl ernst ludwig planck", "shelf": "dictionary", "surface": "secular", "snippet": "max karl ernst ludwig planck: (noun) German physicist whose explanation of blackbody radiation in the context of quantized energy emissions initiated quantum theory (1858-1947) — syn: Planck, Max Plan"}, {"id": "card_c_e655b3fcef54", "title": "Optimal transport instantiates Fluid probability dynamics", "shelf": "connections", "surface": null, "snippet": "The geometry of moving probability — Fokker–Planck as a Wasserstein gradient flow."}, {"id": "card_c_3cc9f3e8e74f", "title": "Fokker–Planck & Liouville instantiates Fluid probability dynamics", "shelf": "connections", "surface": null, "snippet": "Statistical mechanics is the stochastic instance of the probability-continuity equation."}, {"id": "card_ref_pc_reduced_planck_constant", "title": "Reduced planck constant = 1.054571817e-34 J*s", "shelf": "physics", "surface": "secular", "snippet": "The reduced planck constant is 1.054571817e-34 J*s (measured) — derived. Verified physical constant."}, {"id": "card_ref_pc_planck_constant", "title": "Planck constant = 6.62607015e-34 J*s", "shelf": "physics", "surface": "secular", "snippet": "The planck constant is 6.62607015e-34 J*s (exact by definition) — exact since 2019 SI redefinition. Verified physical constant."}, {"id": "card_src_book_68381", "title": "Heilige Banden: Roman — Abraham Anthony Fokker", "shelf": "gutenberg", "surface": "secular", "snippet": "Heilige Banden: Roman, by Abraham Anthony Fokker (in nl). Subjects: Indonesia -- Fiction. Read the full text (public domain): https://www.gutenberg.org/ebooks/68381"}, {"id": "card_src_oeis_a003676", "title": "A003676 — Decimal expansion of the Planck constant h (Joule * second).", "shelf": "oeis", "surface": "secular", "snippet": "Decimal expansion of the Planck constant h (Joule * second).  First terms: 6, 6, 2, 6, 0, 7, 0, 1, 5, ."}, {"id": "card_src_book_50880", "title": "Treatise on Thermodynamics — Max Planck", "shelf": "gutenberg", "surface": "secular", "snippet": "Treatise on Thermodynamics, by Max Planck. Subjects: Thermodynamics. Read the full text (public domain): https://www.gutenberg.org/ebooks/50880"}, {"id": "card_src_book_67653", "title": "Om het recht der liefde — Abraham Anthony Fokker", "shelf": "gutenberg", "surface": "secular", "snippet": "Om het recht der liefde, by Abraham Anthony Fokker (in nl). Subjects: Indonesia -- Fiction. Read the full text (public domain): https://www.gutenberg.org/ebooks/67653"}, {"id": "card_c_c1d4f07c75cd", "title": "Fokker–Planck & Liouville — probability flow ↔ Fluid probability dynamics — one continuity ", "shelf": "connections", "surface": null, "snippet": "The stochastic instantiation of probability-as-fluid. ... In Hamiltonian phase space, Liouville's theorem gives dρ/dt = 0 — the probability fluid is incompressible.  — a concord the card itself states"}, {"id": "card_src_book_65698", "title": "Maleisch-Nederlandsche Gesprekken — Abraham Anthony Fokker", "shelf": "gutenberg", "surface": "secular", "snippet": "Maleisch-Nederlandsche Gesprekken, by Abraham Anthony Fokker (in nl). Subjects: Indonesian language -- Conversation and phrase books -- Dutch. Read the full text (public domain): https://www.gutenberg"}, {"id": "card_c_583b49254af6", "title": "Fluid probability dynamics — one continuity  ↔ Optimal transport — the geometry of moving p", "shelf": "connections", "surface": null, "snippet": "geometry (optimal transport: distance = least kinetic energy to carry one distribution to another; Fokker–Planck is the gradient flow of free energy in Wasserstein space)  — a concord the card itself "}, {"id": "card_src_book_31564", "title": "Vorlesungen über Thermodynamik Siebente Auflage — Max Planck", "shelf": "gutenberg", "surface": "secular", "snippet": "Vorlesungen über Thermodynamik Siebente Auflage, by Max Planck (in de). Subjects: Thermodynamics. Read the full text (public domain): https://www.gutenberg.org/ebooks/31564"}, {"id": "card_src_book_33663", "title": "The Origin and Development of the Quantum Theory — Max Planck", "shelf": "gutenberg", "surface": "secular", "snippet": "The Origin and Development of the Quantum Theory, by Max Planck. Subjects: Quantum theory. Read the full text (public domain): https://www.gutenberg.org/ebooks/33663"}, {"id": "card_src_book_40030", "title": "The Theory of Heat Radiation — Max Planck", "shelf": "gutenberg", "surface": "secular", "snippet": "The Theory of Heat Radiation, by Max Planck. Subjects: Electric waves; Heat -- Radiation and absorption; Gases. Read the full text (public domain): https://www.gutenberg.org/ebooks/40030"}]}