1. Rybakina holdspublished at 16:48 British Summer Time

    Rybakina 6-1 2-0 Raducanu*

    Meanwhile, Rybakina is looking unstoppable right now as she takes a no-nonsense hold to 15 to consolidate the break.

    Elena RybakinaImage source, Getty Images
  2. Alcaraz holdspublished at 16:47 British Summer Time

    *Darderi 0-1 Alcaraz

    An inch-perfect forehand winner, an ace and some top defensive shots - Carlos Alcaraz announces himself to Arthur Ashe Stadium.

    *Denotes next server

  3. Postpublished at 16:46 British Summer Time

    *Rybakina 6-1 1-0 Raducanu

    Five unforced errors in that one game from Raducanu.

    Only 58% of her first serves went in and she won just one of the five points behind her second serve.

  4. Rybakina breakspublished at 16:45 British Summer Time

    *Rybakina 6-1 1-0 Raducanu

    Wow. A gifted game from 40-0.

    One brilliant winner in there from Rybakina but other than that a string of errors have proven seriously costly for Raducanu.

  5. Rybakina second break pointpublished at 16:44 British Summer Time

    Rybakina 6-1 0-0 Raducanu*

    A much-needed ace saves break point but a ridiculously good forehand return down the line from Rybakina hands her a second bite of the cherry.

    Elena RybakinaImage source, Getty Images
  6. Rybakina break pointpublished at 16:43 British Summer Time

    Rybakina 6-1 0-0 Raducanu*

    Well, from 40-0 to deuce thanks to three unforced errors. Ouch.

    Raducanu has had to hit a lot of second serves here and Rybakina pounces on another one to bring up a break point.

  7. Postpublished at 16:42 British Summer Time

    Rybakina 6-1 0-0 Raducanu*

    Raducanu will have to put that first set out of her mind and focus on the next one and it looks like she is going to do just that as she races to 40-0.

    But a couple of errors let Rybakina back in with a little lifeline at 40-30.

  8. Postpublished at 16:42 British Summer Time

    Darderi v Alcaraz

    Luciano Darderi wins the coin toss and elects to receive first. Carlos Alcaraz to serve.

  9. Postpublished at 16:40 British Summer Time

    Rybakina 6-1 0-0 Raducanu

    Annabel Croft
    Former British number one on BBC Radio 5 Sports Extra and BBC Sounds

    Emma Raducanu in actionImage source, Getty Images

    Raducanu has been left stranded in the first set, it doesn't feel like there is a lot she can do.

    But things can change rapidly - you just have to have a few unforced errors or get stuck into some early games in the second set and the whole psychology of the match can change quickly.

    It is not the first time we have seen Raducanu totally overpowered by a top player.

  10. Hope for Darderipublished at 16:40 British Summer Time

    Darderi v Alcaraz

    Luciano DarderiImage source, Getty Images

    Luciano Darderi is going to be up against it today - Carlos Alcaraz is yet to drop a service game at this year's US Open, and has won 86% of his first service points.

    However, Darderi has served up 23 aces - compared to Alcaraz's 11 - and has won 78% of his break points, while Alcaraz has won just 35%.

    Can the Italian cause a major upset?

  11. Game and first set - Boulter/Kartalpublished at 16:39 British Summer Time

    Boulter/Kartal 6-1 0-0 Santamaria/Tang*

    In the women's doubles, British duo Katie Boulter and Sonay Kartal have broken serve twice to race through the first set of their first-round tie in 25 minutes.

    Boulter and Kartal both lost in the first round of the singles earlier this week, so are sure to be keen to make some inroads through the doubles draw.

  12. New look, same Alcarazpublished at 16:38 British Summer Time

    Darderi v Alcaraz

    Carlos AlcarazImage source, Getty Images

    Much has been made of Carlos Alcaraz's new look in New York, but the attention doesn't appear to have imapcted his performances.

    Will the world number two beat Luciano Darderi and progress to the fourth round?

    Thumbs up for yes, down for no.

  13. Game and first set - Rybakinapublished at 16:38 British Summer Time

    Rybakina 6-1 Raducanu

    No mistake from the ninth seed this time and in less than 30 minutes Rybakina has taken the first set.

    Really tough going for Raducanu against a player simply in absolutely scintillating form.

  14. Rybakina set pointpublished at 16:37 British Summer Time

    *Rybakina 5-1 Raducanu

    Raducanu saves the first set point but Rybakina will have another go.

    Stefano Vukov has been incredibly oval throughout this match as the TV cameras pick up his constant words of encouragement.

  15. Rybakina set pointpublished at 16:35 British Summer Time

    *Rybakina 5-1 Raducanu

    Just brilliant hitting from Rybakina and she looks like she's really enjoying herself, too.

    Tough going for Raducanu on the other side of the net as everything she fires at the ninth seed just comes back.

    A big Rybakina serve hands her a set point.

  16. Postpublished at 16:35 British Summer Time

    *Rybakina 5-1 Raducanu

    Russell Fuller
    Tennis correspondent on BBC Radio 5 Sports Extra and BBC Sounds

    I've noticed that a lot of Raducanu's returns have been in towards the body of Rybakina, she is not trying to get her on the move.

    Perhaps this is deliberate, but maybe she will try something different in the second set.

  17. 'Rybakina takes control the moment the rally starts'published at 16:33 British Summer Time

    Rybakina 4-1 Raducanu*

    Annabel Croft
    Former British number one on BBC Radio 5 Sports Extra and BBC Sounds

    Rybakina couldn't look like she is playing any better than she is right now. She is timing the ball so sweetly and is going after her groundstrokes into the corners. She takes control from the moment the rally starts.

  18. Rybakina takes double breakpublished at 16:33 British Summer Time

    *Rybakina 5-1 Raducanu

    Elena Rybakina in actionImage source, Getty Images

    Rybakina takes her chance at the first opportunity.

    The Kazakh is absolutely on fire and after just 22 minutes on court she is one game away from taking the first set.

  19. Rybakina two break pointspublished at 16:32 British Summer Time

    Rybakina 4-1 Raducanu*

    Just like that, Rybakina brings up two break points for the double break.

    This is proving to be really tough going for Raducanu.

  20. Postpublished at 16:31 British Summer Time

    Jonathan Jurejko
    BBC Sport senior tennis reporter at Flushing Meadows

    Rybakina is painting more lines than Picasso at the moment.

    Remember Raducanu saying how Rybakina can take the racquet out of an opponent's hand?

    Exactly what's happening here.