In order to shed light on the puzzling thickness ͑t͒ dependence of the critical current density ͑J c ͒ in YBa 2 Cu 3 O 7−x ͑YBCO͒ films at 77 K and self-field, we have investigated J c -t behavior as a function of temperature ͑T͒ and applied magnetic field ͑H͒ in the thickness range that is within the modified Larkin length L c . It has been found that the J c -t behavior can be well described by the collective pinning ͑CP͒ model as monotonically decreasing J c ϳ t −1/2 when thermal assisted flux motion ͑TAFM͒ is suppressed at low T close to zero. TAFM becomes increasingly important at elevated temperatures and causes deviation of the J c -t from the CP model in the thickness range below the magnetic penetration depth. The deviation is more pronounced at smaller thickness and increases with T and H. Consequently, a completely reversed J c -t from monotonically decreasing to monotonically increasing occurs when TAFM dominates in high T and H ranges. This result suggests that the monotonic decreasing J c -t behavior is an intrinsic property of uniform YBCO films, while extrinsic effects such as material nonuniformity can greatly complicate it.The strong dependence of critical current density ͑J c ͒ on the thickness ͑t͒ of high-T c superconducting ͑HTS͒ films has presented a tough question that challenges our understanding of basic physics governing electric transport properties in HTS films. 1-5 Basically, J c measured at 77 K and self-field ͑SF͒ on films of HTS materials, such as YBa 2 Cu 3 O 7−x ͑YBCO͒, decreases monotonically with increasing film thickness. A basic question is whether this J c -t behavior is simply caused by material inhomogeneity through thickness or related to an intrinsic property of superconductors. It should be realized that the major J c reduction occurs in the thickness range below ϳ0.6 m, where microstructure degradation is not a major concern. Interestingly, the J c data reported on a large number of YBCO film samples 5-7 made with different techniques fall more or less on the curve of J c ϳ t −1/2 at 77 K and SF, which agrees with the prediction of weak collective pinning model ͑CP͒ for superconducting films thinner than the longitudinal collective pinning length L c ͑Larkin length͒. 8 In the CP model, a quantized magnetic flux line ͑FL͒ with a length of L Ͻ L c is rigid and cannot bend to accommodate different pinning centers nearby. When the dominant pinning centers are randomly distributed point defects, the pinning force ͑F p ͒ exerted on a FL scales as L 1/2 while the Lorentz force scales as L. This leads to the J c ϳ t −1/2 behavior. As L exceeds L c , the FL resumes its elasticity and bends itself to accommodate the pinning center, resulting in a thickness-independent J c .Although the CP model fits the SF J c -t relatively well at 77 K, some questions remain. The first question is about the order of magnitude of the L c . The original L c for a weak collective pinning system is calculated from L c Ϸ r p ͑J 0 / J c ͒ 1/2 , where r p is the pinning center interaction radius and J...