Rubber composition and tire

1. A rubber composition, comprising:

a rubber component,

a farnesene polymer and

silica

wherein a content of the polymer in the rubber composition is from 1 to 100 parts by mass.

2. The rubber composition according to claim 1 ,

wherein the polymer is a homopolymer of β-farnesene.

3. The rubber composition according to claim 1 ,

wherein the silica has an average particle size of from 0.5 to 200 nm.

4. The rubber composition according to claim 1 ,

wherein the polymer has a melt viscosity of from 0.1 to 3,000 Pa·s, as measured at 38° C.

5. The rubber composition according to claim 1 ,

wherein the polymer has a weight-average molecular weight of from 2,000 to 500,000.

6. The rubber composition according to claim 1 ,

wherein a content of the polymer in the rubber composition is from 1 to 100 parts by mass, and

a content of the silica in the rubber composition is from 0.1 to 150 parts by mass,

both on the basis of 100 parts by mass of the rubber component.

7. The rubber composition according to claim 1 , further comprising:

carbon black.

8. The rubber composition according to claim 7 ,

wherein the carbon black has an average particle size of from 5 to 100 nm.

9. The rubber composition according to claim 7 ,

wherein a content of the polymer in the rubber composition is from 1 to 100 parts by mass,

a content of the silica in the rubber composition is from 0.1 to 150 parts by mass, and

a content of the carbon black in the rubber composition is from 0.1 to 150 parts by mass,

all on the basis of 100 parts by mass of the rubber component.

10. The rubber composition according to claim 1 ,

wherein the rubber component is at least one rubber selected from the group consisting of a styrene-butadiene rubber, a natural rubber, a butadiene rubber, and an isoprene rubber.

11. The rubber composition according to claim 10 ,

wherein the styrene-butadiene rubber has a weight-average molecular weight of from 100,000 to 2,500,000.

12. The rubber composition according to claim 10 ,

wherein the styrene-butadiene rubber has a styrene content of from 0.1 to 70% by mass.

13. The rubber composition according to claim 10 ,

wherein the butadiene rubber has a weight-average molecular weight of from 90,000 to 2,000,000.

14. The rubber composition according to claim 10 ,

wherein the butadiene rubber has a vinyl content of 50% by mass or less.

15. The rubber composition according to claim 1 ,

wherein the polymer has a molecular weight distribution of from 1.0 to 8.0.

16. A tire, comprising:

the rubber composition of claim 1 .